Metrics for Trowbridge-Reitz Sample, near normal, slope

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze389.0ms (4.8%)

Memory

1.3MiB live, 533.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 35 to 25 computations (28.6% saved)

sample1.9s (22.9%)

Memory

29.4MiB live, 2 412.4MiB allocated

Samples

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

Precisions

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

const: 443.0ms (38.3% of total)

ival-mult: 202.0ms (17.5% of total)

ival-<=: 130.0ms (11.2% of total)

ival-cos: 98.0ms (8.5% of total)

ival-div: 76.0ms (6.6% of total)

ival-sqrt: 65.0ms (5.6% of total)

ival->: 57.0ms (4.9% of total)

ival-sub: 43.0ms (3.7% of total)

ival-and: 34.0ms (2.9% of total)

exact: 5.0ms (0.4% of total)

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

Bogosity

explain120.0ms (1.5%)

Memory

14.4MiB live, 103.2MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

44.0ms

512×

valid

Compiler

Compiled 87 to 37 computations (57.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

const: 7.0ms (23.9% of total)

ival-mult: 6.0ms (20.5% of total)

ival-cos: 6.0ms (20.5% of total)

ival-div: 4.0ms (13.6% of total)

ival-sub: 3.0ms (10.2% of total)

ival-sqrt: 3.0ms (10.2% of total)

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

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

exact: 0.0ms (0% of total)

preprocess60.0ms (0.7%)

Memory

-15.3MiB live, 41.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	106
1	79	106
2	138	106
3	206	106
4	293	106
5	404	106
6	557	106
7	807	106
8	2605	106
9	3429	106
10	6920	106
0	10	11
0	16	11
1	27	11
2	40	11
3	52	11
4	61	11
0	61	11

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 11 to 11 computations (0% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Compiler

Compiled 11 to 11 computations (0% saved)

simplify4.0ms (0.1%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
0	16	36
1	27	36
2	40	36
3	52	36
4	61	36
0	61	36

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize72.0ms (0.9%)

Memory

1.3MiB live, 47.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0859375	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.15625	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.1796875	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.30078125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

22.0ms

256×

valid

Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 3.0ms (21.2% of total)

ival-cos: 3.0ms (21.2% of total)

const: 3.0ms (21.2% of total)

ival-div: 2.0ms (14.2% of total)

ival-sqrt: 2.0ms (14.2% of total)

ival-sub: 1.0ms (7.1% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Counts

5 → 42

Calls

Call 1

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

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

Calls

9 calls:

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

simplify208.0ms (2.5%)

Memory

7.4MiB live, 205.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	760
1	626	670
2	2558	582
0	8338	554

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 41

Calls

Call 1

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

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

rewrite181.0ms (2.2%)

Memory

-22.4MiB live, 209.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
0	16	28
1	49	28
2	226	28
3	1582	28
0	8928	28

Stop Event

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

Counts

5 → 362

Calls

Call 1

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

Outputs
(.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(.f32 (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sin.f32 (acos.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sin.f32 (acos.f32 (pow.f32 u1 #s(literal 3/2 binary32))))) (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(.f32 (.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))
(.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 3 binary32))) (fma.f32 (.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 (.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))))
(/.f32 (+.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal 3 binary32)) (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (-.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)))))))
(/.f32 (neg.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (.f32 (sqrt.f32 (neg.f32 u1)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (neg.f32 (sqrt.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1)))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (neg.f32 u1)))) (neg.f32 (sqrt.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (.f32 (sqrt.f32 (neg.f32 u1)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))
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(fma.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))) (/.f32 u1 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (.f32 (neg.f32 u1) u1) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))) (/.f32 (*.f32 (neg.f32 u1) u1) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 (neg.f32 u1) u1) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (/.f32 (*.f32 (neg.f32 u1) u1) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (/.f32 u1 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))) (/.f32 u1 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1) (/.f32 (*.f32 (neg.f32 u1) u1) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 u1 #s(literal 3/2 binary32))) (neg.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (/.f32 (.f32 (.f32 (neg.f32 u1) u1) u1) (neg.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 u1 #s(literal 3/2 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (/.f32 (.f32 (.f32 (neg.f32 u1) u1) u1) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 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 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 u1 #s(literal 3/2 binary32))) (neg.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 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 (.f32 (neg.f32 u1) u1) u1) (neg.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 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 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 u1 #s(literal 3/2 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 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 (.f32 (neg.f32 u1) u1) u1) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 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 (pow.f32 u1 #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 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 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (/.f32 (*.f32 (neg.f32 u1) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (/.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 u1) u1) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 u1)) #s(literal 1 binary32))
(fma.f32 (*.f32 u1 u1) (/.f32 u1 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32))
(fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 #s(literal 1 binary32) u1 #s(literal 1 binary32))
(fma.f32 u1 (/.f32 (*.f32 u1 u1) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(fma.f32 u1 #s(literal 1 binary32) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (/.f32 (.f32 (.f32 (neg.f32 u1) u1) (.f32 u1 u1)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(+.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (.f32 (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(+.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))) (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))
(+.f32 (/.f32 (*.f32 (neg.f32 u1) u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 (neg.f32 u1) u1) (-.f32 #s(literal 1 binary32) u1)))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (/.f32 (*.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 u1 #s(literal 3/2 binary32))) (neg.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))))
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (/.f32 (.f32 (.f32 (neg.f32 u1) u1) u1) (neg.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))))
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (/.f32 (*.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 u1 #s(literal 3/2 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (/.f32 (.f32 (.f32 (neg.f32 u1) u1) u1) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (neg.f32 u1))
(+.f32 #s(literal 1 binary32) u1)
(+.f32 u1 #s(literal 1 binary32))
(neg.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))
(*.f32 (neg.f32 (neg.f32 u2)) #s(literal 314159265359/50000000000 binary32))
(*.f32 (neg.f32 u2) #s(literal -314159265359/50000000000 binary32))
(*.f32 #s(literal -314159265359/50000000000 binary32) (neg.f32 u2))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) (neg.f32 (neg.f32 u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(neg.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))

eval72.0ms (0.9%)

Memory: 27.7MiB live, 72.2MiB allocated
Compiler: Compiled 11 653 to 1 877 computations (83.9% saved)

prune39.0ms (0.5%)

Memory

-14.8MiB live, 40.9MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	386	17	403
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	386	18	404

Accuracy

99.9%

Counts

404 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
▶	98.3%	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	70.9%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	88.2%	(.f32 (/.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 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
	97.7%	(.f32 (.f32 (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.6%	(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.9%	(.f32 (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	71.5%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	99.1%	(.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	99.0%	(.f32 (sqrt.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	54.4%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.4%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	73.7%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	79.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	78.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
▶	79.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))

Compiler

Compiled 627 to 505 computations (19.5% saved)

simplify143.0ms (1.8%)

Memory

21.8MiB live, 108.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))
cost-diff	0	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	3	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
cost-diff	0	(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	0	(fma.f32 u1 u1 u1)
cost-diff	0	#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
cost-diff	0	(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
cost-diff	0	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	0	(-.f32 #s(literal 1 binary32) u1)
cost-diff	0	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
cost-diff	0	(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
cost-diff	0	(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	269
0	62	266
1	89	264
2	140	263
3	210	263
4	305	263
5	418	263
6	615	263
7	926	263
8	1324	263
9	2124	263
10	3931	263
11	7173	263
0	8081	263

Stop Event

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

Calls

Call 1

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

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

localize128.0ms (1.6%)

Memory

17.9MiB live, 201.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.14453125	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.16015625	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.2890625	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.48275375976844204	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
accuracy	0.14453125	(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.17578125	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
accuracy	0.2890625	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.29134750976844204	(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.14453125	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.2890625	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	3.893562547812461	#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
accuracy	8.41088040655243	(fma.f32 u1 u1 u1)
accuracy	0.0	(-.f32 #s(literal 1 binary32) u1)
accuracy	0.078125	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.16015625	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	6.273985931485662	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.14453125	(.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.16015625	(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
accuracy	0.2890625	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.35546875	(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)

Samples

76.0ms	248×	0	valid
5.0ms	8×	5	exit

Compiler

Compiled 218 to 28 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-div: 26.0ms (40.4% of total)

ival-mult: 13.0ms (20.2% of total)

ival-sqrt: 5.0ms (7.8% of total)

const: 4.0ms (6.2% of total)

ival-pow: 4.0ms (6.2% of total)

ival-sub: 3.0ms (4.7% of total)

ival-cos: 3.0ms (4.7% of total)

ival-pow2: 3.0ms (4.7% of total)

adjust: 1.0ms (1.6% of total)

ival-add: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

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

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

series16.0ms (0.2%)

Memory

-6.2MiB live, 37.7MiB allocated

Counts

22 → 76

Calls

Call 1

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

Outputs
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(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))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(+ 1 (* 1/2 u1))
(+ 1 (* u1 (+ 1/2 (* 3/8 u1))))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 3/8 (* 5/16 u1))))))
(pow (* 1 u1) 1/4)
(+ (* 1/4 (pow (* 1 (pow u1 5)) 1/4)) (pow (* 1 u1) 1/4))
(+ (* u1 (+ (* 5/32 (pow (* 1 (pow u1 5)) 1/4)) (* 1/4 (pow (* 1 u1) 1/4)))) (pow (* 1 u1) 1/4))
(+ (* u1 (+ (* 1/4 (pow (* 1 u1) 1/4)) (* u1 (+ (* 15/128 (pow (* 1 (pow u1 5)) 1/4)) (* 5/32 (pow (* 1 u1) 1/4)))))) (pow (* 1 u1) 1/4))
(+ 1 u1)
(+ 1 (* u1 (+ 1 u1)))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(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))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (sqrt (/ 1 u1)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(pow -1 1/4)
(+ (* 1/4 (* (pow -1 1/4) (/ 1 u1))) (pow -1 1/4))
(+ (* 5/32 (* (pow -1 1/4) (/ 1 (pow u1 2)))) (+ (* 1/4 (* (pow -1 1/4) (/ 1 u1))) (pow -1 1/4)))
(+ (* 15/128 (* (pow -1 1/4) (/ 1 (pow u1 3)))) (+ (* 5/32 (* (pow -1 1/4) (/ 1 (pow u1 2)))) (+ (* 1/4 (* (pow -1 1/4) (/ 1 u1))) (pow -1 1/4))))
(/ -1 u1)
(* -1 (/ (+ 1 (/ 1 u1)) u1))
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) u1)
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sqrt -1) (+ 1 (* -1/4 u1)))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (sqrt -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)))
(+ (* -1 (/ (+ (* -1/4 (pow -1 1/4)) (* -5/32 (* (pow -1 1/4) (/ 1 u1)))) u1)) (pow -1 1/4))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 15/128 (* (pow -1 1/4) (/ 1 u1))) (* 5/32 (pow -1 1/4))) u1)) (* -1/4 (pow -1 1/4))) u1)) (pow -1 1/4))
(* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	u1	@	0	((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (* (sqrt u1) (sqrt (/ 1 (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (sqrt (/ 1 (- 1 u1)))) (sqrt u1) (sqrt (/ 1 (- 1 u1))) (pow (pow (/ u1 (- 1 u1)) 1/4) 2) (* (pow (pow (/ u1 (- 1 u1)) 1/4) 2) (cos (* 314159265359/50000000000 u2))) (pow (/ u1 (- 1 u1)) 1/4) (* (- (/ 1 u1) 1) u1) (* 314159265359/50000000000 u2) (/ 1 (- 1 u1)))
3.0ms	u1	@	inf	((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (* (sqrt u1) (sqrt (/ 1 (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (sqrt (/ 1 (- 1 u1)))) (sqrt u1) (sqrt (/ 1 (- 1 u1))) (pow (pow (/ u1 (- 1 u1)) 1/4) 2) (* (pow (pow (/ u1 (- 1 u1)) 1/4) 2) (cos (* 314159265359/50000000000 u2))) (pow (/ u1 (- 1 u1)) 1/4) (* (- (/ 1 u1) 1) u1) (* 314159265359/50000000000 u2) (/ 1 (- 1 u1)))
3.0ms	u1	@	-inf	((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (* (sqrt u1) (sqrt (/ 1 (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (sqrt (/ 1 (- 1 u1)))) (sqrt u1) (sqrt (/ 1 (- 1 u1))) (pow (pow (/ u1 (- 1 u1)) 1/4) 2) (* (pow (pow (/ u1 (- 1 u1)) 1/4) 2) (cos (* 314159265359/50000000000 u2))) (pow (/ u1 (- 1 u1)) 1/4) (* (- (/ 1 u1) 1) u1) (* 314159265359/50000000000 u2) (/ 1 (- 1 u1)))
1.0ms	u2	@	inf	((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (* (sqrt u1) (sqrt (/ 1 (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (sqrt (/ 1 (- 1 u1)))) (sqrt u1) (sqrt (/ 1 (- 1 u1))) (pow (pow (/ u1 (- 1 u1)) 1/4) 2) (* (pow (pow (/ u1 (- 1 u1)) 1/4) 2) (cos (* 314159265359/50000000000 u2))) (pow (/ u1 (- 1 u1)) 1/4) (* (- (/ 1 u1) 1) u1) (* 314159265359/50000000000 u2) (/ 1 (- 1 u1)))
1.0ms	u2	@	-inf	((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (* (sqrt u1) (sqrt (/ 1 (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (sqrt (/ 1 (- 1 u1)))) (sqrt u1) (sqrt (/ 1 (- 1 u1))) (pow (pow (/ u1 (- 1 u1)) 1/4) 2) (* (pow (pow (/ u1 (- 1 u1)) 1/4) 2) (cos (* 314159265359/50000000000 u2))) (pow (/ u1 (- 1 u1)) 1/4) (* (- (/ 1 u1) 1) u1) (* 314159265359/50000000000 u2) (/ 1 (- 1 u1)))

simplify259.0ms (3.2%)

Memory

-14.6MiB live, 265.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	315	1388
1	1079	1193
2	4858	1170
0	8385	1098

Stop Event

1×	iter limit
1×	node limit

Counts

76 → 75

Calls

Call 1

Inputs
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(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))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(+ 1 (* 1/2 u1))
(+ 1 (* u1 (+ 1/2 (* 3/8 u1))))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 3/8 (* 5/16 u1))))))
(pow (* 1 u1) 1/4)
(+ (* 1/4 (pow (* 1 (pow u1 5)) 1/4)) (pow (* 1 u1) 1/4))
(+ (* u1 (+ (* 5/32 (pow (* 1 (pow u1 5)) 1/4)) (* 1/4 (pow (* 1 u1) 1/4)))) (pow (* 1 u1) 1/4))
(+ (* u1 (+ (* 1/4 (pow (* 1 u1) 1/4)) (* u1 (+ (* 15/128 (pow (* 1 (pow u1 5)) 1/4)) (* 5/32 (pow (* 1 u1) 1/4)))))) (pow (* 1 u1) 1/4))
(+ 1 u1)
(+ 1 (* u1 (+ 1 u1)))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(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))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (sqrt (/ 1 u1)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(pow -1 1/4)
(+ (* 1/4 (* (pow -1 1/4) (/ 1 u1))) (pow -1 1/4))
(+ (* 5/32 (* (pow -1 1/4) (/ 1 (pow u1 2)))) (+ (* 1/4 (* (pow -1 1/4) (/ 1 u1))) (pow -1 1/4)))
(+ (* 15/128 (* (pow -1 1/4) (/ 1 (pow u1 3)))) (+ (* 5/32 (* (pow -1 1/4) (/ 1 (pow u1 2)))) (+ (* 1/4 (* (pow -1 1/4) (/ 1 u1))) (pow -1 1/4))))
(/ -1 u1)
(* -1 (/ (+ 1 (/ 1 u1)) u1))
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) u1)
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sqrt -1) (+ 1 (* -1/4 u1)))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (sqrt -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)))
(+ (* -1 (/ (+ (* -1/4 (pow -1 1/4)) (* -5/32 (* (pow -1 1/4) (/ 1 u1)))) u1)) (pow -1 1/4))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 15/128 (* (pow -1 1/4) (/ 1 u1))) (* 5/32 (pow -1 1/4))) u1)) (* -1/4 (pow -1 1/4))) u1)) (pow -1 1/4))
(* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))

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

rewrite150.0ms (1.8%)

Memory

45.9MiB live, 277.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	206
0	62	198
1	161	193
2	742	193
3	7372	176
0	8006	170

Stop Event

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

Counts

22 → 798

Calls

Call 1

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

Outputs
(.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (pow.f32 (/.f32 u1 #s(approx (- 1 u1) (.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1))) #s(literal 1/4 binary32))) (pow.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1))) #s(literal 1/4 binary32)))
(.f32 (pow.f32 (/.f32 u1 #s(approx (- 1 u1) (.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1))) #s(literal 1/4 binary32)) (.f32 (pow.f32 (/.f32 u1 #s(approx (- 1 u1) (.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1)))))
(.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1)))))
(.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1)))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(/.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1)))))
(/.f32 (.f32 (sqrt.f32 (neg.f32 u1)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (neg.f32 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1)))))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1)))))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (neg.f32 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1)))))
(/.f32 (neg.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (neg.f32 (sqrt.f32 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1)))))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1))))
(fma.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1)))) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1))))))
(fma.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1)))) (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1))))))
(+.f32 (.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1))))) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1))))))
(+.f32 (.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1)))) (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1))))))
(.f32 (neg.f32 (pow.f32 (/.f32 u1 #s(approx (- 1 u1) (.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1))) #s(literal 1/4 binary32))) (neg.f32 (pow.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1))) #s(literal 1/4 binary32))))
(.f32 (fabs.f32 (pow.f32 (/.f32 u1 #s(approx (- 1 u1) (.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1))) #s(literal 1/4 binary32))) (fabs.f32 (pow.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1))) #s(literal 1/4 binary32))))
(.f32 (pow.f32 (/.f32 u1 #s(approx (- 1 u1) (.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1))) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1))) #s(literal 1/4 binary32)))
(.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (sqrt.f32 #s(approx (- 1 u1) (.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1)))))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1))))
(/.f32 (neg.f32 (neg.f32 (sqrt.f32 u1))) (neg.f32 (neg.f32 (sqrt.f32 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1))))))
(/.f32 (neg.f32 (sqrt.f32 (neg.f32 u1))) (neg.f32 (sqrt.f32 (neg.f32 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1))))))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1)))))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1)))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1))))
(pow.f32 (exp.f32 (log.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1))))) #s(literal 1/2 binary32))
(pow.f32 (.f32 (/.f32 u1 #s(approx (- 1 u1) (.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1))) (/.f32 u1 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1)))) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1))) #s(literal 1/2 binary32))
(+.f32 (cosh.f32 (.f32 (log.f32 (/.f32 u1 #s(approx (- 1 u1) (.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1)))) #s(literal 1/2 binary32))) (sinh.f32 (.f32 (log.f32 (/.f32 u1 #s(approx (- 1 u1) (.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1)))) #s(literal 1/2 binary32))))
(exp.f32 (.f32 (log.f32 (/.f32 u1 #s(approx (- 1 u1) (.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1)))) #s(literal 1/2 binary32)))
(neg.f32 (/.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1)))))
(neg.f32 (/.f32 (sqrt.f32 u1) (neg.f32 (sqrt.f32 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1))))))
(.f32 #s(literal 1 binary32) (/.f32 u1 #s(approx (- 1 u1) (.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1))))
(.f32 u1 (/.f32 #s(literal 1 binary32) #s(approx (- 1 u1) (.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1))))
(/.f32 (neg.f32 u1) (neg.f32 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1))))
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1)))
(neg.f32 (/.f32 (neg.f32 u1) #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1))))
#s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1))
(neg.f32 (neg.f32 #s(approx (- 1 u1) (*.f32 (expm1.f32 (neg.f32 (log.f32 u1))) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (tanh.f32 (asinh.f32 (sqrt.f32 u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 (pow.f32 u1 #s(literal 3/2 binary32))))) (sqrt.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3/8 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/16 binary32))) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/16 binary32)))
(.f32 (.f32 (sqrt.f32 (tanh.f32 (asinh.f32 (sqrt.f32 u1)))) (neg.f32 (sqrt.f32 (sqrt.f32 (tanh.f32 (asinh.f32 (sqrt.f32 u1))))))) (neg.f32 (sqrt.f32 (sqrt.f32 (tanh.f32 (asinh.f32 (sqrt.f32 u1)))))))
(.f32 (.f32 (cosh.f32 (atanh.f32 (sqrt.f32 u1))) (pow.f32 u1 #s(literal 1/4 binary32))) (pow.f32 u1 #s(literal 1/4 binary32)))
(.f32 (.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (sqrt.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3/8 binary32)) #s(literal 1 binary32)) (sqrt.f32 (sqrt.f32 (tanh.f32 (asinh.f32 (sqrt.f32 u1))))))
(*.f32 (pow.f32 (neg.f32 (sqrt.f32 (tanh.f32 (asinh.f32 (sqrt.f32 u1))))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (sqrt.f32 (tanh.f32 (asinh.f32 (sqrt.f32 u1))))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (cosh.f32 (atanh.f32 (sqrt.f32 u1))) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 u1) #s(literal 1 binary32)))
(*.f32 (pow.f32 (sqrt.f32 u1) #s(literal 1 binary32)) (pow.f32 (cosh.f32 (atanh.f32 (sqrt.f32 u1))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1/2 binary32)) (sqrt.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3/8 binary32)) (sqrt.f32 (sqrt.f32 (tanh.f32 (asinh.f32 (sqrt.f32 u1))))))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (cosh.f32 (atanh.f32 (sqrt.f32 u1)))))
(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (sqrt.f32 u1)))
(.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/16 binary32)) (.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/16 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3/8 binary32))))
(*.f32 (neg.f32 (sqrt.f32 (tanh.f32 (asinh.f32 (sqrt.f32 u1))))) (neg.f32 (sqrt.f32 (tanh.f32 (asinh.f32 (sqrt.f32 u1))))))
(.f32 (neg.f32 (sqrt.f32 (sqrt.f32 (tanh.f32 (asinh.f32 (sqrt.f32 u1)))))) (.f32 (neg.f32 (sqrt.f32 (sqrt.f32 (tanh.f32 (asinh.f32 (sqrt.f32 u1)))))) (sqrt.f32 (tanh.f32 (asinh.f32 (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (sqrt.f32 (tanh.f32 (asinh.f32 (sqrt.f32 u1))))) (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3/8 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (sqrt.f32 (tanh.f32 (asinh.f32 (sqrt.f32 u1))))) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3/8 binary32)))
(*.f32 (sqrt.f32 (tanh.f32 (asinh.f32 (sqrt.f32 u1)))) (sqrt.f32 (tanh.f32 (asinh.f32 (sqrt.f32 u1)))))
(*.f32 (cosh.f32 (atanh.f32 (sqrt.f32 u1))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (cosh.f32 (atanh.f32 (sqrt.f32 u1))))
(*.f32 #s(literal 1 binary32) (tanh.f32 (asinh.f32 (sqrt.f32 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))
(/.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (log.f32 (tanh.f32 (asinh.f32 (sqrt.f32 u1))))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (log.f32 (tanh.f32 (asinh.f32 (sqrt.f32 u1))))) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (log.f32 (tanh.f32 (asinh.f32 (sqrt.f32 u1))))) (cosh.f32 (log.f32 (tanh.f32 (asinh.f32 (sqrt.f32 u1))))) (-.f32 (.f32 (sinh.f32 (log.f32 (tanh.f32 (asinh.f32 (sqrt.f32 u1))))) (sinh.f32 (log.f32 (tanh.f32 (asinh.f32 (sqrt.f32 u1)))))) (.f32 (cosh.f32 (log.f32 (tanh.f32 (asinh.f32 (sqrt.f32 u1))))) (sinh.f32 (log.f32 (tanh.f32 (asinh.f32 (sqrt.f32 u1)))))))))
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(+.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) u1))
(+.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))
(+.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) u1))
(+.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (fma.f32 u1 u1 u1)) (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1 binary32)))
(+.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (fma.f32 u1 u1 u1)))
(+.f32 (cosh.f32 (log1p.f32 u1)) (sinh.f32 (neg.f32 (log1p.f32 u1))))
(+.f32 (/.f32 u1 (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)))))
(exp.f32 (fma.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))))
(exp.f32 (.f32 (.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 2 binary32)))
(exp.f32 (neg.f32 (log1p.f32 u1)))
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))

eval142.0ms (1.7%)

Memory: -50.1MiB live, 310.0MiB allocated
Compiler: Compiled 23 543 to 3 513 computations (85.1% saved)

prune43.0ms (0.5%)

Memory

-5.7MiB live, 146.0MiB allocated

Pruning

39 alts after pruning (33 fresh and 6 done)

	Pruned	Kept	Total
New	878	23	901
Fresh	2	10	12
Picked	0	5	5
Done	0	1	1
Total	880	39	919

Accuracy

99.9%

Counts

919 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
✓	98.3%	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.9%	(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
	70.9%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	88.3%	(.f32 (/.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 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
	97.9%	(.f32 (.f32 (sqrt.f32 u1) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.9%	(.f32 (.f32 (sqrt.f32 u1) (.f32 (pow.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (pow.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.6%	(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	86.5%	(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 #s(approx (/ 1 (- 1 u1)) (+.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	96.2%	(.f32 (.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	99.0%	(.f32 (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.8%	(.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.1%	(.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	99.0%	(.f32 (sqrt.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	54.3%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	86.9%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (.f32 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	86.8%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 u1 (-.f32 u1 #s(literal -1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.4%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
▶	73.7%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	79.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	79.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	79.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
▶	78.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	63.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (fma.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))))
	63.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
	79.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
	79.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
	63.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))))
	63.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal 1 binary32) #s(literal 1 binary32)))))
	63.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal 1 binary32) u1 #s(literal 1 binary32)))))
	61.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
	61.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))))
✓	79.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
▶	61.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
	61.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
	79.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))))

Compiler

Compiled 1 436 to 1 151 computations (19.8% saved)

simplify159.0ms (1.9%)

Memory

12.7MiB live, 202.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
cost-diff	0	(/.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 #s(literal 1 binary32) u1))))
cost-diff	0	(.f32 (/.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 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	1	(*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
cost-diff	0	(cos.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)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	0	(*.f32 u2 u2)
cost-diff	0	(fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))
cost-diff	0	(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
cost-diff	0	(+.f32 u1 #s(literal 1 binary32))
cost-diff	0	(/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
cost-diff	0	(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
cost-diff	0	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sqrt.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(.f32 (sqrt.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	2	(*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	268
0	65	272
1	106	258
2	211	258
3	500	258
4	1107	258
5	1691	258
6	2363	258
7	2867	258
8	3286	258
9	4039	258
10	4680	258
11	5606	258
12	7186	258
0	8122	258

Stop Event

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

Calls

Call 1

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

Outputs
(.f32 (sqrt.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
(/.f32 u1 (+.f32 #s(literal 1 binary32) u1))
u1
(+.f32 u1 #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
(fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(*.f32 u2 u2)
u2
#s(literal 1 binary32)
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
(.f32 (/.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 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 (sqrt.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1)) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(/.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 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1)) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(sqrt.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1))
(*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
(+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1)
u1
(fma.f32 u1 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
(sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2

localize114.0ms (1.4%)

Memory

15.8MiB live, 156.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.203125	(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
accuracy	0.26953125	(/.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 #s(literal 1 binary32) u1))))
accuracy	0.30078125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	4.216694944544208	(fma.f32 u1 u1 #s(literal 1 binary32))
accuracy	0.06382753907376806	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.15625	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.30078125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	8.368842092569766	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
accuracy	0.1484375	(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.1796875	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	3.435045529628305	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
accuracy	6.890826289386853	(fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))
accuracy	0.0	(+.f32 u1 #s(literal 1 binary32))
accuracy	0.078125	(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
accuracy	0.3046875	(/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
accuracy	12.266508846650721	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
accuracy	0.15625	(.f32 (sqrt.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.1953125	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
accuracy	0.30078125	(*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.30078125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

94.0ms

256×

valid

Compiler

Compiled 254 to 34 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

const: 39.0ms (50.4% of total)

ival-mult: 15.0ms (19.4% of total)

ival-sqrt: 9.0ms (11.6% of total)

ival-div: 7.0ms (9% of total)

ival-add: 3.0ms (3.9% of total)

ival-cos: 3.0ms (3.9% of total)

ival-sub: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory

-4.1MiB live, 44.5MiB allocated

Counts

24 → 114

Calls

Call 1

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

Outputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(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))))))))))
1
(+ 1 u1)
(+ 1 (* u1 (+ 1 u1)))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
(+ (sqrt u1) (* -1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1))))))))
(* u1 (+ 1 (* -1 u1)))
(* u1 (+ 1 (* u1 (- u1 1))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))
(* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
(+ (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))))
(+ (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))))))
(* u1 (+ 1 (pow u1 2)))
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 5))))
(+ (sqrt u1) (* (pow u1 3) (+ (* -1/8 (sqrt (pow u1 3))) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 3) (+ (* 1/2 (sqrt (/ 1 u1))) (* (pow u1 3) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* 1/16 (sqrt u1)))))))
(+ 1 (pow u1 2))
(+ 1 (* -1 u1))
(+ 1 (* u1 (- u1 1)))
(+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(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))))
(/ -1 u1)
(* -1 (/ (+ 1 (/ 1 u1)) u1))
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) u1)
(- 1 (* 1/2 (/ 1 u1)))
(- (+ 1 (/ 3/8 (pow u1 2))) (* 1/2 (/ 1 u1)))
(- (+ 1 (/ 3/8 (pow u1 2))) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3)))))
(- 1 (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3))))
(* u1 (+ 1 (/ 1 u1)))
(* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))
(+ (* -1/2 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
(+ (* -1/2 (/ (* (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))
(+ (* -1/2 (/ (* (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))))
(pow u1 3)
(* (pow u1 3) (+ 1 (/ 1 (pow u1 2))))
(sqrt (pow u1 3))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (* 1/2 (sqrt (/ 1 (pow u1 5))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 9)))) (* 1/2 (sqrt (/ 1 (pow u1 5)))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 9)))) (+ (* 1/16 (sqrt (/ 1 (pow u1 13)))) (* 1/2 (sqrt (/ 1 (pow u1 5))))))))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(* -1 (pow u1 3))
(* (pow u1 3) (- (/ 1 u1) 1))
(* (pow u1 3) (- (/ 1 u1) (+ 1 (/ 1 (pow u1 2)))))
(* (pow u1 3) (- (+ (/ 1 u1) (/ 1 (pow u1 3))) (+ 1 (/ 1 (pow u1 2)))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1))
(pow (sqrt -1) 2)
(+ (* 1/2 (/ 1 u1)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) u1)) 1/2) u1)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) u1))) u1)) 1/2) u1)) (pow (sqrt -1) 2))
(+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))
(+ (* 1/2 (/ (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) u1)) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* -3/8 (/ (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) u1))) u1)) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) u1)) (* 3/8 (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))) u1)) (* -1/2 (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))) u1)) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt u1) (pow (sqrt -1) 2)))) (pow u1 3))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2))) (* -1/16 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) (pow u1 3))) (* 1/2 (* (sqrt u1) (pow (sqrt -1) 2)))) (pow u1 3))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))
(* -1 (* (pow u1 3) (- 1 (/ 1 u1))))
(* -1 (* (pow u1 3) (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))))
(* -1 (* (pow u1 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(pow u2 2)
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))
(cos (* 314159265359/50000000000 u2))

Calls

9 calls:

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

simplify166.0ms (2%)

Memory

-22.0MiB live, 221.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	397	2050
1	1419	1771
2	6521	1752
0	8080	1639

Stop Event

1×	iter limit
1×	node limit

Counts

114 → 113

Calls

Call 1

Inputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(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))))))))))
1
(+ 1 u1)
(+ 1 (* u1 (+ 1 u1)))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
(+ (sqrt u1) (* -1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1))))))))
(* u1 (+ 1 (* -1 u1)))
(* u1 (+ 1 (* u1 (- u1 1))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))
(* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
(+ (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))))
(+ (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))))))
(* u1 (+ 1 (pow u1 2)))
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 5))))
(+ (sqrt u1) (* (pow u1 3) (+ (* -1/8 (sqrt (pow u1 3))) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 3) (+ (* 1/2 (sqrt (/ 1 u1))) (* (pow u1 3) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* 1/16 (sqrt u1)))))))
(+ 1 (pow u1 2))
(+ 1 (* -1 u1))
(+ 1 (* u1 (- u1 1)))
(+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(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))))
(/ -1 u1)
(* -1 (/ (+ 1 (/ 1 u1)) u1))
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) u1)
(- 1 (* 1/2 (/ 1 u1)))
(- (+ 1 (/ 3/8 (pow u1 2))) (* 1/2 (/ 1 u1)))
(- (+ 1 (/ 3/8 (pow u1 2))) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3)))))
(- 1 (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3))))
(* u1 (+ 1 (/ 1 u1)))
(* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))
(+ (* -1/2 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
(+ (* -1/2 (/ (* (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))
(+ (* -1/2 (/ (* (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))))
(pow u1 3)
(* (pow u1 3) (+ 1 (/ 1 (pow u1 2))))
(sqrt (pow u1 3))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (* 1/2 (sqrt (/ 1 (pow u1 5))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 9)))) (* 1/2 (sqrt (/ 1 (pow u1 5)))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 9)))) (+ (* 1/16 (sqrt (/ 1 (pow u1 13)))) (* 1/2 (sqrt (/ 1 (pow u1 5))))))))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(* -1 (pow u1 3))
(* (pow u1 3) (- (/ 1 u1) 1))
(* (pow u1 3) (- (/ 1 u1) (+ 1 (/ 1 (pow u1 2)))))
(* (pow u1 3) (- (+ (/ 1 u1) (/ 1 (pow u1 3))) (+ 1 (/ 1 (pow u1 2)))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1))
(pow (sqrt -1) 2)
(+ (* 1/2 (/ 1 u1)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) u1)) 1/2) u1)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) u1))) u1)) 1/2) u1)) (pow (sqrt -1) 2))
(+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))
(+ (* 1/2 (/ (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) u1)) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* -3/8 (/ (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) u1))) u1)) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) u1)) (* 3/8 (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))) u1)) (* -1/2 (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))) u1)) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt u1) (pow (sqrt -1) 2)))) (pow u1 3))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2))) (* -1/16 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) (pow u1 3))) (* 1/2 (* (sqrt u1) (pow (sqrt -1) 2)))) (pow u1 3))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))
(* -1 (* (pow u1 3) (- 1 (/ 1 u1))))
(* -1 (* (pow u1 3) (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))))
(* -1 (* (pow u1 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(pow u2 2)
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))
(cos (* 314159265359/50000000000 u2))

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

rewrite586.0ms (7.2%)

Memory

-34.2MiB live, 374.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	213
0	65	201
1	175	183
2	1002	180
0	9499	180

Stop Event

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

Counts

24 → 1 394

Calls

Call 1

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

Outputs
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)) u1)
(.f32 (.f32 u1 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) u1)
(.f32 (.f32 #s(literal 1 binary32) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1))
(.f32 (.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))
(.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1))
(.f32 (.f32 u1 (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32)))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (/.f32 u1 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(*.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))))
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(fma.f32 (.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (.f32 (fma.f32 u1 u1 u1) u1))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 u1 #s(literal 1 binary32)) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1))
(fma.f32 (.f32 (.f32 u1 u1) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (.f32 (.f32 u1 u1) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 u1)) (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1))
(fma.f32 (fma.f32 #s(literal -1 binary32) u1 (pow.f32 u1 #s(literal 3/2 binary32))) (-.f32 (neg.f32 u1) (pow.f32 u1 #s(literal 3/2 binary32))) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (+.f32 u1 (pow.f32 u1 #s(literal 3/2 binary32))) (-.f32 u1 (pow.f32 u1 #s(literal 3/2 binary32))) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1))
(fma.f32 (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1))
(fma.f32 (fabs.f32 (-.f32 #s(literal 1 binary32) u1)) (fabs.f32 (-.f32 #s(literal 1 binary32) u1)) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1))
(fma.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (-.f32 u1 #s(literal 1 binary32)) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1))
(fma.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 u1 (fma.f32 u1 u1 u1)))
(fma.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 u1 u1 u1) u1))
(fma.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 u1 (fma.f32 u1 u1 u1)))
(fma.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 (fma.f32 u1 u1 u1) u1))
(fma.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (*.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) u1)) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1))
(fma.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) #s(literal 1 binary32)) (.f32 u1 (fma.f32 u1 u1 u1)))
(fma.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) #s(literal 1 binary32)) (.f32 (fma.f32 u1 u1 u1) u1))
(fma.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (*.f32 u1 (fma.f32 u1 u1 u1)))
(fma.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (*.f32 (fma.f32 u1 u1 u1) u1))
(fma.f32 (*.f32 (fma.f32 u1 u1 u1) u1) #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 4 binary32)))) (-.f32 #s(literal 1 binary32) u1) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 4 binary32)))) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (+.f32 #s(literal -1 binary32) u1) (+.f32 #s(literal -1 binary32) u1) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1))
(fma.f32 (neg.f32 u1) (*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (neg.f32 u1) (-.f32 (neg.f32 u1) (*.f32 (neg.f32 u1) u1)) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1))
(fma.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 4 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 4 binary32))))))
(fma.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1))
(fma.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32) (*.f32 u1 (fma.f32 u1 u1 u1)))
(fma.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) u1))
(fma.f32 #s(literal 1 binary32) (*.f32 u1 (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1))
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (fma.f32 u1 u1 u1)))
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1) (*.f32 (fma.f32 u1 u1 u1) u1))
(fma.f32 u1 (-.f32 u1 (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 u1 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) u1))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32))
(+.f32 (.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 4 binary32)))) (-.f32 #s(literal 1 binary32) u1)) (.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 4 binary32)))) (-.f32 #s(literal 1 binary32) u1)))
(+.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 4 binary32))))) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 4 binary32))))))
(+.f32 (*.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1))
(+.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) u1))
(+.f32 (*.f32 (fma.f32 u1 u1 u1) u1) (-.f32 #s(literal 1 binary32) u1))
(+.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1))
(+.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (fma.f32 u1 u1 u1)))
(+.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (fma.f32 u1 u1 u1) u1))
(exp.f32 (*.f32 (log1p.f32 u1) #s(literal 3 binary32)))

eval211.0ms (2.6%)

Memory: 14.7MiB live, 483.2MiB allocated
Compiler: Compiled 39 089 to 5 130 computations (86.9% saved)

prune69.0ms (0.8%)

Memory

7.1MiB live, 197.6MiB allocated

Pruning

47 alts after pruning (39 fresh and 8 done)

	Pruned	Kept	Total
New	1 226	24	1 250
Fresh	13	15	28
Picked	1	4	5
Done	2	4	6
Total	1 242	47	1 289

Accuracy

99.9%

Counts

1 289 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.3%	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.9%	(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
	70.9%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	87.9%	(.f32 (/.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 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	63.7%	(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	53.1%	(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	63.3%	(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(approx (* (+ (* u1 u1) 1) (- 1 u1)) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) u1))) (pow.f32 u1 #s(literal 3 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
	98.7%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.9%	(.f32 (.f32 (sqrt.f32 u1) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.2%	(.f32 (.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	96.2%	(.f32 (.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.9%	(.f32 (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.8%	(.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.1%	(.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.0%	(.f32 (sqrt.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	86.8%	(.f32 (sqrt.f32 (.f32 u1 #s(approx (/ 1 (- 1 u1)) (+.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	86.9%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (.f32 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.4%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	71.4%	(.f32 (sqrt.f32 u1) (.f32 (/.f32 (sin.f32 (acos.f32 u1)) (sqrt.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32)))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
✓	73.7%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	63.3%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
	79.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	79.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	4.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32) (.f32 (.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
	79.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
▶	88.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
	79.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
	88.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	88.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) u2)) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	88.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 #s(approx (+ ( -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (.f32 (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	4.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 #s(approx (+ ( -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	79.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
	79.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
▶	61.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32))))))
	59.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (/.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) u1)))))
✓	79.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	61.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
✓	61.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
	79.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))))
	63.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ u1 1)) (*.f32 (fma.f32 (-.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))))
	61.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ u1 1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
	88.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ u1 (- 1 u1)))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2))))
	3.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1))))
	14.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1))))
▶	3.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) #s(literal -1 binary32)))

Compiler

Compiled 2 071 to 1 581 computations (23.7% saved)

simplify184.0ms (2.3%)

Memory

22.9MiB live, 211.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(.f32 (.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	2	(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
cost-diff	6	(-.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
cost-diff	0	(/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32))))
cost-diff	0	(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32))))))
cost-diff	5	(/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))
cost-diff	0	#s(approx (sqrt (/ u1 (+ u1 1))) #s(literal -1 binary32))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) #s(literal -1 binary32)))
cost-diff	0	(sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	1	(*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
cost-diff	9	(/.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	312
0	70	332
1	129	312
2	332	247
3	1019	247
4	4342	247
0	8055	245

Stop Event

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

Calls

Call 1

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

Outputs
(.f32 (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
(+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1)
u1
(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) u1))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) #s(literal -1 binary32)))
#s(approx (sqrt (/ u1 (+ u1 1))) #s(literal -1 binary32))
#s(literal -1 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.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 u1 #s(literal 1 binary32))))
(/.f32 u1 (+.f32 #s(literal 1 binary32) u1))
u1
(/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.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 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(-.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(.f32 (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))
(.f32 (.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
#s(literal 98696044010906577398881/5000000000000000000000 binary32)
(*.f32 u2 u2)
u2
(.f32 (.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 u1)
u1
(/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(literal 1 binary32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2

localize143.0ms (1.7%)

Memory

11.4MiB live, 197.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.1640625	(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.171875	(/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.29134750976844204	(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.30078125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.20244143924468863	(-.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
accuracy	0.3515625	(.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))
accuracy	0.359375	(.f32 (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy	3.435045529628305	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
accuracy	0.24609375	(/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))
accuracy	0.3046875	(/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32))))
accuracy	4.6180015977945965	(fma.f32 u1 u1 #s(literal -1 binary32))
accuracy	12.266508846650721	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32))))))
accuracy	12.266508846650721	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) #s(literal -1 binary32)))
accuracy	30.94315295799675	#s(approx (sqrt (/ u1 (+ u1 1))) #s(literal -1 binary32))
accuracy	0.203125	(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
accuracy	0.21484375	(/.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.30078125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	4.216694944544208	(fma.f32 u1 u1 #s(literal 1 binary32))

Samples

104.0ms

256×

valid

Compiler

Compiled 284 to 39 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-add: 31.0ms (35.4% of total)

ival-mult: 20.0ms (22.8% of total)

ival-div: 12.0ms (13.7% of total)

ival-sqrt: 9.0ms (10.3% of total)

const: 8.0ms (9.1% of total)

ival-cos: 4.0ms (4.6% of total)

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

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

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

exact: 0.0ms (0% of total)

series29.0ms (0.4%)

Memory

-33.4MiB live, 29.8MiB allocated

Counts

25 → 126

Calls

Call 1

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

Outputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* u1 (+ 1 (pow u1 2)))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(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 u1) (* -1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1))))))))
1
(+ 1 u1)
(* u1 (+ 1 (* -1 u1)))
(* u1 (+ 1 (* u1 (- u1 1))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))
(- (sqrt u1) (* 98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))
(- (+ (sqrt u1) (* (pow u1 2) (- (* 1/2 (sqrt (/ 1 u1))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2)))))) (* 98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))
(- (+ (sqrt u1) (* (pow u1 2) (- (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (- (* 1/2 (sqrt (/ 1 u1))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2)))))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2)))))) (* 98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))
(- (+ (sqrt u1) (* (pow u1 2) (- (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (- (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (- (* 1/2 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1))))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1))))))))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2)))))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2)))))) (* 98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))
(+ 1 (* 1/2 u1))
(+ 1 (* u1 (+ 1/2 (* 3/8 u1))))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 3/8 (* 5/16 u1))))))
(+ 1 (pow u1 2))
(+ 1 (* -1 u1))
(+ 1 (* u1 (- u1 1)))
(+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))
-1
(- (pow u1 2) 1)
(* 98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2)))
(+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt (pow u1 3)) (pow u2 2))) (* 98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))
(+ (* 98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))))))
(+ (* 98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt u1) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))))))))
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(pow u1 3)
(* (pow u1 3) (+ 1 (/ 1 (pow u1 2))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(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))))
(- 1 (* 1/2 (/ 1 u1)))
(- (+ 1 (/ 3/8 (pow u1 2))) (* 1/2 (/ 1 u1)))
(- (+ 1 (/ 3/8 (pow u1 2))) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3)))))
(* u1 (+ 1 (/ 1 u1)))
(- 1 (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3))))
(- (sqrt -1) (* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))))
(- (+ (sqrt -1) (* -1 (/ (+ (* -98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (sqrt -1))) (* 1/2 (/ 1 (sqrt -1)))) u1))) (* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (+ (* -98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))) (+ (* 98696044010906577398881/5000000000000000000000 (* (pow u2 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)))))) (+ (* -98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (+ (* -98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))) (+ (* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (/ 1/2 (* u1 (sqrt -1))))))))
(* (sqrt (/ 1 u1)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(* -1 (pow u1 3))
(* (pow u1 3) (- (/ 1 u1) 1))
(* (pow u1 3) (- (/ 1 u1) (+ 1 (/ 1 (pow u1 2)))))
(* (pow u1 3) (- (+ (/ 1 u1) (/ 1 (pow u1 3))) (+ 1 (/ 1 (pow u1 2)))))
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1)))
(+ (* -98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))) (* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))))
(+ (* -98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))) (* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1)))))
(+ (* -98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (+ (* -98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))) (* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))))))
(* (sqrt u1) (sqrt -1))
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -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)))
(pow (sqrt -1) 2)
(+ (* 1/2 (/ 1 u1)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) u1)) 1/2) u1)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) u1))) u1)) 1/2) u1)) (pow (sqrt -1) 2))
(+ 1 (* -1 (/ (- 1/2 (* 3/8 (/ 1 u1))) u1)))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 3/8 (* 5/16 (/ 1 u1))) u1))) u1)))
(+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))
(- (+ (sqrt -1) (* -1 (/ (- (* -1/2 (sqrt -1)) (* -98696044010906577398881/10000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1))) (* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))))
(- (+ (sqrt -1) (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (sqrt -1)) (* 296088132032719732196643/40000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1)) (* -1/2 (sqrt -1))) (* -98696044010906577398881/10000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1))) (* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))))
(- (+ (sqrt -1) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -5/16 (sqrt -1)) (* -98696044010906577398881/16000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1)) (* 3/8 (sqrt -1))) (* 296088132032719732196643/40000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1)) (* -1/2 (sqrt -1))) (* -98696044010906577398881/10000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1))) (* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sqrt -1) (+ 1 (* -1/4 u1)))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(* -1 (* (pow u1 3) (- 1 (/ 1 u1))))
(* -1 (* (pow u1 3) (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))))
(* -1 (* (pow u1 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))))
(+ (* 98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) u1)) (* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))))
(+ (* -1 (/ (+ (* -98696044010906577398881/10000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -296088132032719732196643/40000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) u1))) u1)) (* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))))
(+ (* -1 (/ (+ (* -98696044010906577398881/10000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -1 (/ (+ (* 98696044010906577398881/16000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) u1)) (* 296088132032719732196643/40000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1))) u1)) (* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))))
(* -1 (* (sqrt u1) (sqrt -1)))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(* 314159265359/50000000000 u2)
(* 98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* 98696044010906577398881/5000000000000000000000 (pow u2 2))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* (pow u2 2) (- (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))) (* 98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))))

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	cosTheta_i	@	-inf	((/ (* u1 (+ (* u1 u1) 1)) (* (+ (* u1 u1) 1) (- 1 u1))) (* u1 (+ (* u1 u1) 1)) (* (sqrt (/ (* u1 (+ (* u1 u1) 1)) (* (+ (* u1 u1) 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (* u1 (+ (* u1 u1) 1)) (* (+ (* u1 u1) 1) (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ u1 1))) (/ (+ (* u1 u1) -1) (- u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) -1) (- u1 1)))) (/ u1 (/ (+ (* u1 u1) -1) (- u1 1))) (- (sqrt (/ u1 (- 1 u1))) (* (* 98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1))))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt u1) (/ 1 (sqrt (- 1 u1)))) (* (* (sqrt u1) (/ 1 (sqrt (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt u1) (/ 1 (sqrt (- 1 u1))) (+ (* u1 u1) 1) (* 314159265359/50000000000 u2) (* (+ (* u1 u1) 1) (- 1 u1)) (+ (* u1 u1) -1) (* (* 98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* 98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (- 1 u1)))
5.0ms	u1	@	inf	((/ (* u1 (+ (* u1 u1) 1)) (* (+ (* u1 u1) 1) (- 1 u1))) (* u1 (+ (* u1 u1) 1)) (* (sqrt (/ (* u1 (+ (* u1 u1) 1)) (* (+ (* u1 u1) 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (* u1 (+ (* u1 u1) 1)) (* (+ (* u1 u1) 1) (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ u1 1))) (/ (+ (* u1 u1) -1) (- u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) -1) (- u1 1)))) (/ u1 (/ (+ (* u1 u1) -1) (- u1 1))) (- (sqrt (/ u1 (- 1 u1))) (* (* 98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1))))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt u1) (/ 1 (sqrt (- 1 u1)))) (* (* (sqrt u1) (/ 1 (sqrt (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt u1) (/ 1 (sqrt (- 1 u1))) (+ (* u1 u1) 1) (* 314159265359/50000000000 u2) (* (+ (* u1 u1) 1) (- 1 u1)) (+ (* u1 u1) -1) (* (* 98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* 98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (- 1 u1)))
3.0ms	u1	@	-inf	((/ (* u1 (+ (* u1 u1) 1)) (* (+ (* u1 u1) 1) (- 1 u1))) (* u1 (+ (* u1 u1) 1)) (* (sqrt (/ (* u1 (+ (* u1 u1) 1)) (* (+ (* u1 u1) 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (* u1 (+ (* u1 u1) 1)) (* (+ (* u1 u1) 1) (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ u1 1))) (/ (+ (* u1 u1) -1) (- u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) -1) (- u1 1)))) (/ u1 (/ (+ (* u1 u1) -1) (- u1 1))) (- (sqrt (/ u1 (- 1 u1))) (* (* 98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1))))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt u1) (/ 1 (sqrt (- 1 u1)))) (* (* (sqrt u1) (/ 1 (sqrt (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt u1) (/ 1 (sqrt (- 1 u1))) (+ (* u1 u1) 1) (* 314159265359/50000000000 u2) (* (+ (* u1 u1) 1) (- 1 u1)) (+ (* u1 u1) -1) (* (* 98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* 98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (- 1 u1)))
2.0ms	u1	@	0	((/ (* u1 (+ (* u1 u1) 1)) (* (+ (* u1 u1) 1) (- 1 u1))) (* u1 (+ (* u1 u1) 1)) (* (sqrt (/ (* u1 (+ (* u1 u1) 1)) (* (+ (* u1 u1) 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (* u1 (+ (* u1 u1) 1)) (* (+ (* u1 u1) 1) (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ u1 1))) (/ (+ (* u1 u1) -1) (- u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) -1) (- u1 1)))) (/ u1 (/ (+ (* u1 u1) -1) (- u1 1))) (- (sqrt (/ u1 (- 1 u1))) (* (* 98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1))))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt u1) (/ 1 (sqrt (- 1 u1)))) (* (* (sqrt u1) (/ 1 (sqrt (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt u1) (/ 1 (sqrt (- 1 u1))) (+ (* u1 u1) 1) (* 314159265359/50000000000 u2) (* (+ (* u1 u1) 1) (- 1 u1)) (+ (* u1 u1) -1) (* (* 98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* 98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (- 1 u1)))
2.0ms	u2	@	inf	((/ (* u1 (+ (* u1 u1) 1)) (* (+ (* u1 u1) 1) (- 1 u1))) (* u1 (+ (* u1 u1) 1)) (* (sqrt (/ (* u1 (+ (* u1 u1) 1)) (* (+ (* u1 u1) 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (* u1 (+ (* u1 u1) 1)) (* (+ (* u1 u1) 1) (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ u1 1))) (/ (+ (* u1 u1) -1) (- u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) -1) (- u1 1)))) (/ u1 (/ (+ (* u1 u1) -1) (- u1 1))) (- (sqrt (/ u1 (- 1 u1))) (* (* 98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1))))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt u1) (/ 1 (sqrt (- 1 u1)))) (* (* (sqrt u1) (/ 1 (sqrt (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt u1) (/ 1 (sqrt (- 1 u1))) (+ (* u1 u1) 1) (* 314159265359/50000000000 u2) (* (+ (* u1 u1) 1) (- 1 u1)) (+ (* u1 u1) -1) (* (* 98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* 98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (- 1 u1)))

simplify211.0ms (2.6%)

Memory

5.4MiB live, 189.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	512	2635
1	1765	2263
2	7318	2226
0	8203	2099

Stop Event

1×	iter limit
1×	node limit

Counts

126 → 125

Calls

Call 1

Inputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* u1 (+ 1 (pow u1 2)))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(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 u1) (* -1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1))))))))
1
(+ 1 u1)
(* u1 (+ 1 (* -1 u1)))
(* u1 (+ 1 (* u1 (- u1 1))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))
(- (sqrt u1) (* 98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))
(- (+ (sqrt u1) (* (pow u1 2) (- (* 1/2 (sqrt (/ 1 u1))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2)))))) (* 98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))
(- (+ (sqrt u1) (* (pow u1 2) (- (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (- (* 1/2 (sqrt (/ 1 u1))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2)))))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2)))))) (* 98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))
(- (+ (sqrt u1) (* (pow u1 2) (- (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (- (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (- (* 1/2 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1))))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1))))))))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2)))))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2)))))) (* 98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))
(+ 1 (* 1/2 u1))
(+ 1 (* u1 (+ 1/2 (* 3/8 u1))))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 3/8 (* 5/16 u1))))))
(+ 1 (pow u1 2))
(+ 1 (* -1 u1))
(+ 1 (* u1 (- u1 1)))
(+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))
-1
(- (pow u1 2) 1)
(* 98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2)))
(+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt (pow u1 3)) (pow u2 2))) (* 98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))
(+ (* 98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))))))
(+ (* 98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt u1) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))))))))
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(pow u1 3)
(* (pow u1 3) (+ 1 (/ 1 (pow u1 2))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(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))))
(- 1 (* 1/2 (/ 1 u1)))
(- (+ 1 (/ 3/8 (pow u1 2))) (* 1/2 (/ 1 u1)))
(- (+ 1 (/ 3/8 (pow u1 2))) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3)))))
(* u1 (+ 1 (/ 1 u1)))
(- 1 (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3))))
(- (sqrt -1) (* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))))
(- (+ (sqrt -1) (* -1 (/ (+ (* -98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (sqrt -1))) (* 1/2 (/ 1 (sqrt -1)))) u1))) (* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (+ (* -98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))) (+ (* 98696044010906577398881/5000000000000000000000 (* (pow u2 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)))))) (+ (* -98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (+ (* -98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))) (+ (* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (/ 1/2 (* u1 (sqrt -1))))))))
(* (sqrt (/ 1 u1)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(* -1 (pow u1 3))
(* (pow u1 3) (- (/ 1 u1) 1))
(* (pow u1 3) (- (/ 1 u1) (+ 1 (/ 1 (pow u1 2)))))
(* (pow u1 3) (- (+ (/ 1 u1) (/ 1 (pow u1 3))) (+ 1 (/ 1 (pow u1 2)))))
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1)))
(+ (* -98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))) (* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))))
(+ (* -98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))) (* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1)))))
(+ (* -98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (+ (* -98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))) (* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))))))
(* (sqrt u1) (sqrt -1))
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -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)))
(pow (sqrt -1) 2)
(+ (* 1/2 (/ 1 u1)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) u1)) 1/2) u1)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) u1))) u1)) 1/2) u1)) (pow (sqrt -1) 2))
(+ 1 (* -1 (/ (- 1/2 (* 3/8 (/ 1 u1))) u1)))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 3/8 (* 5/16 (/ 1 u1))) u1))) u1)))
(+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))
(- (+ (sqrt -1) (* -1 (/ (- (* -1/2 (sqrt -1)) (* -98696044010906577398881/10000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1))) (* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))))
(- (+ (sqrt -1) (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (sqrt -1)) (* 296088132032719732196643/40000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1)) (* -1/2 (sqrt -1))) (* -98696044010906577398881/10000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1))) (* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))))
(- (+ (sqrt -1) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -5/16 (sqrt -1)) (* -98696044010906577398881/16000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1)) (* 3/8 (sqrt -1))) (* 296088132032719732196643/40000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1)) (* -1/2 (sqrt -1))) (* -98696044010906577398881/10000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1))) (* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sqrt -1) (+ 1 (* -1/4 u1)))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(* -1 (* (pow u1 3) (- 1 (/ 1 u1))))
(* -1 (* (pow u1 3) (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))))
(* -1 (* (pow u1 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))))
(+ (* 98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) u1)) (* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))))
(+ (* -1 (/ (+ (* -98696044010906577398881/10000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -296088132032719732196643/40000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) u1))) u1)) (* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))))
(+ (* -1 (/ (+ (* -98696044010906577398881/10000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -1 (/ (+ (* 98696044010906577398881/16000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) u1)) (* 296088132032719732196643/40000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1))) u1)) (* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))))
(* -1 (* (sqrt u1) (sqrt -1)))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(* 314159265359/50000000000 u2)
(* 98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* 98696044010906577398881/5000000000000000000000 (pow u2 2))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* (pow u2 2) (- (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))) (* 98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))))

Outputs
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
(* u1 (+ 1 (pow u1 2)))
(+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1)
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(fma.f32 (.f32 (.f32 u1 u1) #s(literal 1/2 binary32)) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 #s(literal 1/2 binary32) u1) (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))))) (.f32 u1 u1) (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (.f32 (.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) u1) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))
(+ (sqrt u1) (* -1/2 (sqrt (pow u1 3))))
(fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt u1)))))
(fma.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (.f32 u1 u1) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) u1) #s(literal 1 binary32)) (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (sqrt.f32 u1))
1
#s(literal 1 binary32)
(+ 1 u1)
(+.f32 #s(literal 1 binary32) u1)
(* u1 (+ 1 (* -1 u1)))
(*.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(* u1 (+ 1 (* u1 (- u1 1))))
(*.f32 (fma.f32 (-.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))
(fma.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)) (.f32 u1 u1) u1)
(- (sqrt u1) (* 98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))
(fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 u1) (sqrt.f32 u1))
(- (+ (sqrt u1) (* (pow u1 2) (- (* 1/2 (sqrt (/ 1 u1))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2)))))) (* 98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))
(fma.f32 (fma.f32 (.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (.f32 u1 u1) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 u1) (sqrt.f32 u1)))
(- (+ (sqrt u1) (* (pow u1 2) (- (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (- (* 1/2 (sqrt (/ 1 u1))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2)))))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2)))))) (* 98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))
(fma.f32 (fma.f32 (.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2) (fma.f32 (fma.f32 (.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))) (.f32 u1 u1) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 u1) (sqrt.f32 u1)))
(- (+ (sqrt u1) (* (pow u1 2) (- (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (- (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (- (* 1/2 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1))))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1))))))))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2)))))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2)))))) (* 98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))
(fma.f32 (fma.f32 (.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2) (fma.f32 (fma.f32 (.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2) (fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 (.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))) (.f32 u1 u1) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 u1) (sqrt.f32 u1)))
(+ 1 (* 1/2 u1))
(fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))
(+ 1 (* u1 (+ 1/2 (* 3/8 u1))))
(fma.f32 (fma.f32 #s(literal 3/8 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 3/8 (* 5/16 u1))))))
(fma.f32 (fma.f32 (fma.f32 #s(literal 5/16 binary32) u1 #s(literal 3/8 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))
(+ 1 (pow u1 2))
(fma.f32 u1 u1 #s(literal 1 binary32))
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* u1 (- u1 1)))
(fma.f32 (-.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))
(+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))
(fma.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)) u1 #s(literal 1 binary32))
-1
#s(literal -1 binary32)
(- (pow u1 2) 1)
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(* 98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2)))
(.f32 (.f32 (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2)
(+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt (pow u1 3)) (pow u2 2))) (* 98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))
(.f32 (.f32 u2 u2) (fma.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))))
(+ (* 98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))))))
(fma.f32 (.f32 (.f32 u1 u1) #s(literal 98696044010906577398881/10000000000000000000000 binary32)) (.f32 (.f32 u2 u2) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (.f32 (.f32 (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2))
(+ (* 98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt u1) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))))))))
(fma.f32 (fma.f32 (.f32 u1 #s(literal 98696044010906577398881/10000000000000000000000 binary32)) (fma.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) u2) u2) (sqrt.f32 u1) (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (.f32 (.f32 (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2))
(+ 1 (* -1/2 u1))
(fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(fma.f32 (-.f32 (*.f32 #s(literal -1/8 binary32) u1) #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(fma.f32 (-.f32 (.f32 (-.f32 (.f32 #s(literal -1/16 binary32) u1) #s(literal 1/8 binary32)) u1) #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))
(* -1 (+ 1 (/ 1 u1)))
(+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)) u1) #s(literal 1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)) u1) u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(pow u1 3)
(pow.f32 u1 #s(literal 3 binary32))
(* (pow u1 3) (+ 1 (/ 1 (pow u1 2))))
(+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1)
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) u1) #s(literal -1/2 binary32) (/.f32 (.f32 #s(literal -3/8 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 u1 u1))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) u1) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (/.f32 #s(literal 3/4 binary32) u1) u1))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (/.f32 #s(literal -5/16 binary32) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 u1 #s(literal 3 binary32))))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 3/8 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/2 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(-.f32 (fma.f32 (/.f32 (/.f32 (+.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 5/8 binary32) u1)) (.f32 u1 u1)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(- 1 (* 1/2 (/ 1 u1)))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1))
(- (+ 1 (/ 3/8 (pow u1 2))) (* 1/2 (/ 1 u1)))
(+.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/8 binary32) u1) #s(literal -1/2 binary32)) u1) #s(literal 1 binary32))
(- (+ 1 (/ 3/8 (pow u1 2))) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3)))))
(-.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/8 binary32) u1) #s(literal -1/2 binary32)) u1) #s(literal 1 binary32)) (/.f32 #s(literal 5/16 binary32) (pow.f32 u1 #s(literal 3 binary32))))
(* u1 (+ 1 (/ 1 u1)))
(+.f32 #s(literal 1 binary32) u1)
(- 1 (/ 1 u1))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))
(- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1))
(-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1))
(- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3))))
(+.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) u1) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
(- (sqrt -1) (* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))))
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(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1)))) (pow.f32 u1 #s(literal 3 binary32))))
(* -1 (* (pow u1 3) (- 1 (/ 1 u1))))
(*.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(* -1 (* (pow u1 3) (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) (pow.f32 (neg.f32 u1) #s(literal 3 binary32)))
(* -1 (* (pow u1 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) u1)) (pow.f32 (neg.f32 u1) #s(literal 3 binary32)))
(+ (* 98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) u1)) (* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))))
(fma.f32 (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (.f32 u2 u2) (.f32 (.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (*.f32 u2 u2)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(+ (* -1 (/ (+ (* -98696044010906577398881/10000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -296088132032719732196643/40000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) u1))) u1)) (* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))))
(fma.f32 (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (.f32 u2 u2) (/.f32 (fma.f32 (.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (.f32 u2 u2) (.f32 (.f32 #s(literal -296088132032719732196643/40000000000000000000000 binary32) (*.f32 u2 u2)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) (neg.f32 u1)))
(+ (* -1 (/ (+ (* -98696044010906577398881/10000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -1 (/ (+ (* 98696044010906577398881/16000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) u1)) (* 296088132032719732196643/40000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1))) u1)) (* 98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))))
(fma.f32 (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (.f32 u2 u2) (/.f32 (fma.f32 (.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (.f32 u2 u2) (/.f32 (fma.f32 (.f32 #s(literal 296088132032719732196643/40000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (.f32 u2 u2) (.f32 (.f32 #s(literal 98696044010906577398881/16000000000000000000000 binary32) (*.f32 u2 u2)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) (neg.f32 u1))) (neg.f32 u1)))
(* -1 (* (sqrt u1) (sqrt -1)))
(*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 u1))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(.f32 (neg.f32 u1) (.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(.f32 (neg.f32 u1) (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) #s(literal -1/8 binary32)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
(.f32 (neg.f32 u1) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) #s(literal -1/8 binary32) (.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 7 binary32)))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))
(sqrt (/ u1 (- 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(fma.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(.f32 (.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* 98696044010906577398881/5000000000000000000000 (pow u2 2))
(.f32 (.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(.f32 (.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (pow u2 2) (- (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))) (* 98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2))

rewrite239.0ms (2.9%)

Memory

27.9MiB live, 214.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	270
0	70	267
1	215	229
2	1388	227
0	8693	225

Stop Event

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

Counts

25 → 966

Calls

Call 1

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

Outputs
(.f32 (/.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))
(.f32 (/.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) (pow.f32 u1 #s(literal 3 binary32))))) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(.f32 (/.f32 (/.f32 (-.f32 u1 (pow.f32 u1 #s(literal 3 binary32))) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) u1))
(.f32 (/.f32 (/.f32 (-.f32 u1 (pow.f32 u1 #s(literal 3 binary32))) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(.f32 (/.f32 (/.f32 (-.f32 u1 (pow.f32 u1 #s(literal 3 binary32))) (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1)) (-.f32 u1 #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 (-.f32 u1 (pow.f32 u1 #s(literal 3 binary32))) (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (/.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(*.f32 (/.f32 u1 (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 u1 (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
(.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))))
(.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (/.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 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 u1 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (/.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(*.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (/.f32 (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 u1 (-.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 (/.f32 (-.f32 u1 (pow.f32 u1 #s(literal 3 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 (/.f32 (-.f32 u1 (pow.f32 u1 #s(literal 3 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 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 (-.f32 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 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) u1)
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (neg.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) u1)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))
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(-.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))))
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(-.f32 #s(literal -1 binary32) (*.f32 (neg.f32 (neg.f32 (neg.f32 u1))) (neg.f32 (neg.f32 u1))))
(-.f32 #s(literal -1 binary32) (.f32 (neg.f32 (neg.f32 u1)) (.f32 (neg.f32 u1) #s(literal 1 binary32))))
(-.f32 #s(literal -1 binary32) (.f32 (neg.f32 (.f32 u1 u1)) #s(literal 1 binary32)))
(-.f32 #s(literal -1 binary32) (*.f32 (neg.f32 (neg.f32 u1)) (neg.f32 u1)))
(-.f32 #s(literal -1 binary32) (*.f32 (neg.f32 u1) u1))
(-.f32 #s(literal -1 binary32) (*.f32 u1 (neg.f32 u1)))
(-.f32 #s(literal -1 binary32) (.f32 (.f32 u1 u1) #s(literal -1 binary32)))
(fma.f32 (neg.f32 (neg.f32 (neg.f32 u1))) (neg.f32 (neg.f32 (neg.f32 u1))) #s(literal -1 binary32))
(fma.f32 (exp.f32 (log.f32 u1)) (exp.f32 (log.f32 u1)) #s(literal -1 binary32))
(fma.f32 (neg.f32 (neg.f32 u1)) (neg.f32 (neg.f32 u1)) #s(literal -1 binary32))
(fma.f32 (neg.f32 u1) (*.f32 (neg.f32 u1) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (neg.f32 u1) (neg.f32 u1) #s(literal -1 binary32))
(fma.f32 (*.f32 u1 u1) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 u1 u1) #s(literal -1 binary32))
(fma.f32 u1 (fabs.f32 (*.f32 (neg.f32 u1) #s(literal 1 binary32))) #s(literal -1 binary32))
(fma.f32 u1 u1 #s(literal -1 binary32))
(+.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 4 binary32)) (.f32 u1 u1)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 4 binary32)) (.f32 u1 u1)))))
(+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 4 binary32)) (.f32 u1 u1)))) (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 4 binary32)) (.f32 u1 u1)))))
(+.f32 (/.f32 #s(literal -1 binary32) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 4 binary32)))) (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 4 binary32)))))
(+.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 4 binary32)))) (/.f32 #s(literal -1 binary32) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 4 binary32)))))
(+.f32 (*.f32 u1 u1) #s(literal -1 binary32))
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(.f32 (/.f32 (.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) u2)) u2)
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2))
(.f32 (.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(.f32 (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) u2) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 u2 u2) (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (.f32 (*.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 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))
(/.f32 (neg.f32 (.f32 (sqrt.f32 u1) (.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (.f32 (.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (.f32 (sqrt.f32 u1) (.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (neg.f32 u2)) (neg.f32 u2))
(.f32 (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) u2) u2)
(.f32 (neg.f32 u2) (.f32 (neg.f32 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))
(.f32 (.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))
(.f32 u2 (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) u2))
(*.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(*.f32 (fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (hypot.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) u1))
(.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))
(.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1/2 binary32)) (hypot.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) u1))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(/.f32 (neg.f32 (sin.f32 (acos.f32 (pow.f32 u1 #s(literal 3/2 binary32))))) (neg.f32 (sqrt.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (sin.f32 (acos.f32 u1))) (neg.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (sqrt.f32 (neg.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32))))
(/.f32 (sin.f32 (acos.f32 u1)) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (sinh.f32 (acosh.f32 u1)) (sqrt.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32))))
(/.f32 (sin.f32 (acos.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) (sqrt.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(pow.f32 (exp.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))
(+.f32 (cosh.f32 (log.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (sinh.f32 (log.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(exp.f32 (log.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))

eval142.0ms (1.7%)

Memory: 10.7MiB live, 239.9MiB allocated
Compiler: Compiled 41 313 to 5 310 computations (87.1% saved)

prune129.0ms (1.6%)

Memory

-40.1MiB live, 248.7MiB allocated

Pruning

61 alts after pruning (50 fresh and 11 done)

	Pruned	Kept	Total
New	1 162	22	1 184
Fresh	6	28	34
Picked	2	3	5
Done	0	8	8
Total	1 170	61	1 231

Accuracy

100.0%

Counts

1 231 → 61

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.3%	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.9%	(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
	70.9%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	88.0%	(.f32 (/.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 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	63.1%	(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	53.6%	(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	62.9%	(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(approx (* (+ (* u1 u1) 1) (- 1 u1)) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) u1))) (pow.f32 u1 #s(literal 3 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
	98.7%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.8%	(.f32 (.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.9%	(.f32 (.f32 (sqrt.f32 u1) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.2%	(.f32 (.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.6%	(.f32 (.f32 (sqrt.f32 u1) (.f32 (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)) #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.8%	(.f32 (sqrt.f32 (/.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.1%	(.f32 (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.1%	(.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.0%	(.f32 (sqrt.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	86.8%	(.f32 (sqrt.f32 (.f32 u1 #s(approx (/ 1 (- 1 u1)) (+.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	86.9%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (.f32 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.4%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	71.4%	(.f32 (sqrt.f32 u1) (.f32 (/.f32 (sin.f32 (acos.f32 u1)) (sqrt.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32)))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
✓	73.7%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	63.3%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
	79.4%	#s(approx (* (sqrt (/ (* u1 (+ (* u1 u1) 1)) (* (+ (* u1 u1) 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	79.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	79.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	4.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32) (.f32 (.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
	88.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (-.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1)))) (-.f32 #s(literal 1 binary32) u1)))
	88.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (-.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 (.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1)))) (.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
	88.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (-.f32 (sqrt.f32 u1) (.f32 (.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	59.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.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 #s(literal 1 binary32) u1)))))
	79.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	61.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))))
	88.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (-.f32 (/.f32 (sqrt.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) u1))) (sqrt.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
	88.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (-.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
	88.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (-.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
	88.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (-.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
	87.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (* (* 98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (.f32 (.f32 (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2))))
	88.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (-.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
	88.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	88.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) u2)) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	88.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 #s(approx (+ ( -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (.f32 (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	4.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 #s(approx (+ ( -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	79.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
	79.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
	55.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 (.f32 u1 u1)))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))))
	59.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (/.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) u1)))))
	61.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (+ (* u1 u1) -1) #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32))))))
	61.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (.f32 (neg.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) u1))))))
✓	79.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	61.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
✓	61.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
	63.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (/ (+ (* u1 u1) -1) (- u1 1)) #s(literal 1 binary32)))))
	61.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))))
	79.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))))
	61.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) -1) (- u1 1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
	88.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (- (sqrt (/ u1 (- 1 u1))) (* (* 98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1))))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2))))
	3.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1))))
	14.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1))))
✓	3.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) #s(literal -1 binary32)))

Compiler

Compiled 3 788 to 1 613 computations (57.4% saved)

regimes173.0ms (2.1%)

Memory

7.8MiB live, 246.5MiB allocated

Counts

87 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) #s(literal -1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ u1 1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) -1) (- u1 1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (/ (+ (* u1 u1) -1) (- u1 1)) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ u1 1)) (*.f32 (fma.f32 (-.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 #s(literal 1 binary32) u1 #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal 1 binary32) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (+ (* u1 u1) -1) #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 #s(approx (+ ( -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) u2)) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (* (* 98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (.f32 (.f32 (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (fma.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.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 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ u1 (- 1 u1)))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (- (sqrt (/ u1 (- 1 u1))) (* (* 98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1))))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 #s(approx (+ ( -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (.f32 (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (-.f32 (sqrt.f32 u1) (.f32 (.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ (* u1 (+ (* u1 u1) 1)) (* (+ (* u1 u1) 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 (.f32 u1 u1)))) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32) (.f32 (.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (.f32 (neg.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (-.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (-.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (-.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1)))) (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (-.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (/.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)))) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (-.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (-.f32 (/.f32 (sqrt.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) u1))) (sqrt.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (-.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 (.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1)))) (.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 u1 (-.f32 u1 #s(literal -1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (.f32 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 u1 #s(approx (/ 1 (- 1 u1)) (+.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 #s(approx (/ 1 (- 1 u1)) (+.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(approx (* (+ (* u1 u1) 1) (- 1 u1)) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) u1))) (pow.f32 u1 #s(literal 3 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 u1) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(.f32 (.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(.f32 (.f32 (sqrt.f32 u1) (.f32 (pow.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (pow.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 u1) (.f32 (/.f32 (sin.f32 (acos.f32 u1)) (sqrt.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32)))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 u1) (.f32 (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)) #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
99.2%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
99.2%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
99.2%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
99.2%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
99.2%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
99.2%	1	`cosTheta_i`
99.2%	1	`u1`
99.2%	1	`u2`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes117.0ms (1.4%)

Memory

8.2MiB live, 145.4MiB allocated

Counts

58 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
96.6%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
96.6%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
96.5%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
96.5%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
96.7%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
88.9%	1	`cosTheta_i`
96.5%	2	`u1`
96.6%	2	`u2`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes58.0ms (0.7%)

Memory

12.9MiB live, 64.5MiB allocated

Counts

56 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

17.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
13.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
13.0ms	u2
12.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

Results

Accuracy	Segments	Branch
96.6%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
96.6%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
96.6%	2	`u2`
96.6%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`

Compiler

Compiled 19 to 25 computations (-31.6% saved)

regimes98.0ms (1.2%)

Memory

-14.8MiB live, 123.3MiB allocated

Counts

55 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
88.9%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
88.9%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
88.9%	1	`u1`
93.2%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
94.0%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
94.0%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
94.0%	2	`u2`

Compiler

Compiled 31 to 41 computations (-32.3% saved)

regimes97.0ms (1.2%)

Memory

15.0MiB live, 115.5MiB allocated

Counts

52 → 1

Calls

Call 1

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

Outputs

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

Calls

7 calls:

19.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
14.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
13.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
12.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
12.0ms	u1

Results

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

Compiler

Compiled 31 to 41 computations (-32.3% saved)

regimes56.0ms (0.7%)

Memory

-19.9MiB live, 72.3MiB allocated

Counts

25 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

8.0ms	cosTheta_i
8.0ms	u1
7.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
7.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
6.0ms	u2

Results

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

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes52.0ms (0.6%)

Memory

21.8MiB live, 72.7MiB allocated

Counts

23 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
79.4%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
79.4%	1	`cosTheta_i`
79.4%	1	`u2`
79.4%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
79.4%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
79.4%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
79.4%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
79.4%	1	`u1`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes24.0ms (0.3%)

Memory

-11.6MiB live, 34.9MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
63.3%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
63.3%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
63.3%	1	`u1`
63.3%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
63.3%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
63.3%	1	`u2`
63.3%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
63.3%	1	`cosTheta_i`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes17.0ms (0.2%)

Memory

28.5MiB live, 28.5MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
61.6%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
61.6%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
61.6%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
61.6%	1	`u1`
61.6%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
61.6%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
61.6%	1	`u2`
61.6%	1	`cosTheta_i`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes14.0ms (0.2%)

Memory

-22.7MiB live, 24.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
14.8%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
14.8%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
14.8%	1	`u2`
14.8%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
14.8%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
14.8%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
14.8%	1	`cosTheta_i`
14.8%	1	`u1`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes8.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
3.7%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
3.7%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
3.7%	1	`u1`
3.7%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
3.7%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
3.7%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
3.7%	1	`u2`
3.7%	1	`cosTheta_i`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.030774524435400963	0.03326623886823654

Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.01534875575453043	0.016017913818359375

Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.05039238929748535	0.05268271267414093

Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify52.0ms (0.6%)

Memory

-35.7MiB live, 59.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	324
1	114	323
2	192	319
3	312	317
4	468	317
5	985	317
6	4971	317

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 8589935/268435456 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (.f32 u1 u1) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(if (<=.f32 u2 #s(literal 8589935/536870912 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 u1 (-.f32 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 u2 #s(literal 3489661/67108864 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) u2)) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (/ (+ (* u1 u1) -1) (- u1 1)) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ u1 1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) #s(literal -1 binary32)))

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 8589935/268435456 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (.f32 u1 u1) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(if (<=.f32 u2 #s(literal 8589935/536870912 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 u1 (-.f32 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 u2 #s(literal 3489661/67108864 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) u2)) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) u2) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (/ (+ (* u1 u1) -1) (- u1 1)) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ u1 1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) #s(literal -1 binary32)))

soundness1.0s (12.4%)

Memory

14.9MiB live, 402.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	397	2050
1	1419	1771
2	6521	1752
0	8080	1639
0	512	2635
1	1765	2263
2	7318	2226
0	8203	2099
0	38	213
0	65	201
1	175	183
2	1002	180
0	9499	180
0	37	206
0	62	198
1	161	193
2	742	193
3	7372	176
0	8006	170
0	180	760
1	626	670
2	2558	582
0	8338	554

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

Compiler

Compiled 708 to 423 computations (40.3% saved)

preprocess66.0ms (0.8%)

Memory

12.1MiB live, 56.4MiB allocated

Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 800 to 308 computations (61.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze389.0ms (4.8%)

sample1.9s (22.9%)

explain120.0ms (1.5%)

preprocess60.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize72.0ms (0.9%)

series8.0ms (0.1%)

simplify208.0ms (2.5%)

rewrite181.0ms (2.2%)

eval72.0ms (0.9%)

prune39.0ms (0.5%)

simplify143.0ms (1.8%)

localize128.0ms (1.6%)

series16.0ms (0.2%)

simplify259.0ms (3.2%)

rewrite150.0ms (1.8%)

eval142.0ms (1.7%)

prune43.0ms (0.5%)

simplify159.0ms (1.9%)

localize114.0ms (1.4%)

series21.0ms (0.3%)

simplify166.0ms (2%)

rewrite586.0ms (7.2%)

eval211.0ms (2.6%)

prune69.0ms (0.8%)

simplify184.0ms (2.3%)

localize143.0ms (1.7%)

series29.0ms (0.4%)

simplify211.0ms (2.6%)

rewrite239.0ms (2.9%)

eval142.0ms (1.7%)

prune129.0ms (1.6%)

regimes173.0ms (2.1%)

regimes117.0ms (1.4%)

regimes58.0ms (0.7%)

regimes98.0ms (1.2%)

regimes97.0ms (1.2%)

regimes56.0ms (0.7%)

regimes52.0ms (0.6%)

regimes24.0ms (0.3%)

regimes17.0ms (0.2%)

regimes14.0ms (0.2%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify52.0ms (0.6%)

soundness1.0s (12.4%)

preprocess66.0ms (0.8%)

end0.0ms (0%)

Profiling