Metrics for Trowbridge-Reitz Sample, near normal, slope

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze267.0ms (3.5%)

Memory

7.0MiB live, 284.7MiB 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)

sample2.0s (26%)

Memory

-88.0MiB live, 1 768.1MiB allocated

Samples

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

Precisions

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

const: 402.0ms (40.2% of total)

ival-mult: 118.0ms (11.8% of total)

ival-<=: 118.0ms (11.8% of total)

ival-cos: 97.0ms (9.7% of total)

ival-div: 95.0ms (9.5% of total)

ival-sqrt: 62.0ms (6.2% of total)

ival-sub: 42.0ms (4.2% of total)

ival-and: 34.0ms (3.4% of total)

ival->: 25.0ms (2.5% of total)

exact: 5.0ms (0.5% of total)

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

Bogosity

explain109.0ms (1.4%)

Memory

4.6MiB live, 198.7MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f32`	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`	sensitivity	2	0

Confusion

	Predicted +	Predicted -
+	2	0
-	0	254

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

47.0ms

512×

valid

Compiler

Compiled 87 to 37 computations (57.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

const: 7.0ms (22% of total)

ival-mult: 6.0ms (18.9% of total)

ival-cos: 5.0ms (15.7% of total)

ival-sqrt: 5.0ms (15.7% of total)

ival-div: 4.0ms (12.6% of total)

ival-sub: 3.0ms (9.4% of total)

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

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

exact: 0.0ms (0% of total)

preprocess59.0ms (0.8%)

Memory

-20.4MiB live, 61.9MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.8MiB live, 1.8MiB 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

13.8MiB live, 13.8MiB 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

localize34.0ms (0.4%)

Memory

-9.9MiB live, 62.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.15234375	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.171875	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.27734375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

24.0ms

256×

valid

Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 3.0ms (20.5% of total)

ival-cos: 3.0ms (20.5% of total)

const: 3.0ms (20.5% of total)

ival-div: 2.0ms (13.7% of total)

ival-sqrt: 2.0ms (13.7% of total)

ival-sub: 1.0ms (6.8% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

-2.2MiB live, 35.1MiB 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
3.0ms	u2	@	0	((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2))
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	@	inf	((* (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))

simplify163.0ms (2.2%)

Memory

34.3MiB live, 180.8MiB 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)))

rewrite168.0ms (2.2%)

Memory

-35.4MiB live, 211.3MiB 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))

eval45.0ms (0.6%)

Memory: 26.6MiB live, 100.8MiB allocated
Compiler: Compiled 11 653 to 1 877 computations (83.9% saved)

prune28.0ms (0.4%)

Memory

-20.6MiB live, 26.6MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	387	16	403
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	387	17	404

Accuracy

99.8%

Counts

404 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.8%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.2%	(.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)))
	75.4%	(.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)))
	88.5%	(.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)))
▶	98.6%	(.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)))
	98.6%	(.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)))
▶	99.0%	(.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)))
	98.9%	(.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)))
▶	60.6%	(.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))))
	95.8%	(.f32 (exp.f32 (.f32 (log.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)))
▶	96.1%	(.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	78.6%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.4%	#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)))))
	80.7%	#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)))))
▶	81.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))

Compiler

Compiled 565 to 479 computations (15.2% saved)

simplify158.0ms (2.1%)

Memory

34.6MiB live, 144.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	2	(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
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: 0 (0.0ms)

Iter	Nodes	Cost
0	35	271
0	60	267
1	89	267
2	143	267
3	231	267
4	507	267
5	2582	267
0	9634	267

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

localize144.0ms (1.9%)

Memory

-43.7MiB live, 229.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.16015625	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.2734375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	1.2034885112905154	(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
accuracy	0.14453125	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
accuracy	0.15234375	(.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	0.2734375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.29916000976844204	(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.15234375	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.2734375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	3.226846093406899	#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
accuracy	7.010297469151453	(fma.f32 u1 u1 u1)
accuracy	0.0	(-.f32 #s(literal 1 binary32) u1)
accuracy	0.12109375	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.16015625	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	5.806299423596619	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.15234375	(.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	0.2734375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.296875	(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)

Samples

95.0ms	252×	0	valid
3.0ms	4×	5	exit

Compiler

Compiled 220 to 26 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-add: 22.0ms (27.5% of total)

ival-div: 18.0ms (22.5% of total)

ival-mult: 12.0ms (15% of total)

const: 11.0ms (13.8% of total)

ival-sqrt: 5.0ms (6.3% of total)

ival-exp: 3.0ms (3.8% of total)

ival-sub: 3.0ms (3.8% of total)

ival-cos: 3.0ms (3.8% of total)

ival-log: 3.0ms (3.8% of total)

adjust: 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)

series14.0ms (0.2%)

Memory

3.5MiB live, 42.0MiB allocated

Counts

22 → 75

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)))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.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))))))
(log (sqrt u1))
(+ (log (sqrt u1)) (* 1/2 u1))
(+ (log (sqrt u1)) (* (pow u1 2) (+ 1/2 (* 1/2 (/ 1 u1)))))
(+ (log (sqrt u1)) (* (pow u1 2) (+ (* u1 (+ (* 1/24 (* u1 (- (* 12 (/ (- 1 (* 1/4 (/ 1 u1))) u1)) (* 3 (/ 1 (pow u1 2)))))) (* 1/2 (/ 1 u1)))) (* 1/2 (/ 1 u1)))))
(+ 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)))))
(log (sqrt -1))
(- (log (sqrt -1)) (* 1/2 (/ 1 (* u1 (pow (sqrt -1) 2)))))
(- (+ (log (sqrt -1)) (* 1/2 (/ (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 4)))) (pow u1 2)))) (/ 1/2 (* u1 (pow (sqrt -1) 2))))
(- (+ (log (sqrt -1)) (+ (* 1/6 (/ (- (+ (* -3 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* -3/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 4)))) (* 1/4 (/ 1 (pow (sqrt -1) 6)))) (pow u1 3))) (* 1/2 (/ (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 4)))) (pow u1 2))))) (/ 1/2 (* u1 (pow (sqrt -1) 2))))
(/ -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))))
(+ (log (sqrt -1)) (* 1/2 (/ 1 u1)))
(+ (log (sqrt -1)) (+ (/ 1/4 (pow u1 2)) (* 1/2 (/ 1 u1))))
(+ (log (sqrt -1)) (* -1 (/ (- (* -1 (/ (+ 1/4 (* 1/6 (/ 1 u1))) u1)) 1/2) u1)))
(* -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
6.0ms	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))) (exp (log (sqrt (/ u1 (- 1 u1))))) (* (exp (log (sqrt (/ u1 (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (log (sqrt (/ u1 (- 1 u1)))) (* (- (/ 1 u1) 1) u1) (* 314159265359/50000000000 u2) (/ 1 (- 1 u1)))
2.0ms	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))) (exp (log (sqrt (/ u1 (- 1 u1))))) (* (exp (log (sqrt (/ u1 (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (log (sqrt (/ u1 (- 1 u1)))) (* (- (/ 1 u1) 1) u1) (* 314159265359/50000000000 u2) (/ 1 (- 1 u1)))
2.0ms	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))) (exp (log (sqrt (/ u1 (- 1 u1))))) (* (exp (log (sqrt (/ u1 (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (log (sqrt (/ u1 (- 1 u1)))) (* (- (/ 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))) (exp (log (sqrt (/ u1 (- 1 u1))))) (* (exp (log (sqrt (/ u1 (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (log (sqrt (/ u1 (- 1 u1)))) (* (- (/ 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))) (exp (log (sqrt (/ u1 (- 1 u1))))) (* (exp (log (sqrt (/ u1 (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (log (sqrt (/ u1 (- 1 u1)))) (* (- (/ 1 u1) 1) u1) (* 314159265359/50000000000 u2) (/ 1 (- 1 u1)))

simplify159.0ms (2.1%)

Memory

7.0MiB live, 146.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	314	1369
1	1060	1157
2	4285	1136
0	8191	1067

Stop Event

1×	iter limit
1×	node limit

Counts

75 → 74

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))))))
(log (sqrt u1))
(+ (log (sqrt u1)) (* 1/2 u1))
(+ (log (sqrt u1)) (* (pow u1 2) (+ 1/2 (* 1/2 (/ 1 u1)))))
(+ (log (sqrt u1)) (* (pow u1 2) (+ (* u1 (+ (* 1/24 (* u1 (- (* 12 (/ (- 1 (* 1/4 (/ 1 u1))) u1)) (* 3 (/ 1 (pow u1 2)))))) (* 1/2 (/ 1 u1)))) (* 1/2 (/ 1 u1)))))
(+ 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)))))
(log (sqrt -1))
(- (log (sqrt -1)) (* 1/2 (/ 1 (* u1 (pow (sqrt -1) 2)))))
(- (+ (log (sqrt -1)) (* 1/2 (/ (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 4)))) (pow u1 2)))) (/ 1/2 (* u1 (pow (sqrt -1) 2))))
(- (+ (log (sqrt -1)) (+ (* 1/6 (/ (- (+ (* -3 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* -3/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 4)))) (* 1/4 (/ 1 (pow (sqrt -1) 6)))) (pow u1 3))) (* 1/2 (/ (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 4)))) (pow u1 2))))) (/ 1/2 (* u1 (pow (sqrt -1) 2))))
(/ -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))))
(+ (log (sqrt -1)) (* 1/2 (/ 1 u1)))
(+ (log (sqrt -1)) (+ (/ 1/4 (pow u1 2)) (* 1/2 (/ 1 u1))))
(+ (log (sqrt -1)) (* -1 (/ (- (* -1 (/ (+ 1/4 (* 1/6 (/ 1 u1))) u1)) 1/2) u1)))
(* -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 #s(literal 1/2 binary32) u1) u1) (.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 #s(literal 1/2 binary32) 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 (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))
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)
(+ 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))
(log (sqrt u1))
(log.f32 (sqrt.f32 u1))
(+ (log (sqrt u1)) (* 1/2 u1))
(fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1)))
(+ (log (sqrt u1)) (* (pow u1 2) (+ 1/2 (* 1/2 (/ 1 u1)))))
(fma.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1/2 binary32)) u1) u1 (log.f32 (sqrt.f32 u1)))
(+ (log (sqrt u1)) (* (pow u1 2) (+ (* u1 (+ (* 1/24 (* u1 (- (* 12 (/ (- 1 (* 1/4 (/ 1 u1))) u1)) (* 3 (/ 1 (pow u1 2)))))) (* 1/2 (/ 1 u1)))) (* 1/2 (/ 1 u1)))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/24 binary32) u1) (-.f32 (/.f32 (fma.f32 #s(literal 12 binary32) (/.f32 #s(literal -1/4 binary32) u1) #s(literal 12 binary32)) u1) (/.f32 #s(literal 3 binary32) (.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1 (/.f32 #s(literal 1/2 binary32) u1)) (*.f32 u1 u1) (log.f32 (sqrt.f32 u1)))
(+ 1 u1)
(+.f32 #s(literal 1 binary32) u1)
(+ 1 (* u1 (+ 1 u1)))
(fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
(fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))
(* (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 #s(literal 3/4 binary32) (.f32 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 (/.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.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
#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) #s(literal 1 binary32)) u1) #s(literal 1 binary32))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (/ 1 u1) 1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(*.f32 u1 (fma.f32 u1 (/.f32 #s(literal 1 binary32) u1) u1))
(* (sqrt (/ 1 u1)) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32))))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) (.f32 (fma.f32 (/.f32 u1 #s(literal -1 binary32)) #s(literal 1/4 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 7 binary32)))))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(log (sqrt -1))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(- (log (sqrt -1)) (* 1/2 (/ 1 (* u1 (pow (sqrt -1) 2)))))
(-.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal -1/2 binary32) u1))
(- (+ (log (sqrt -1)) (* 1/2 (/ (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 4)))) (pow u1 2)))) (/ 1/2 (* u1 (pow (sqrt -1) 2))))
(-.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 (-.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32)))) u1) (log.f32 (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal -1/2 binary32) u1))
(- (+ (log (sqrt -1)) (+ (* 1/6 (/ (- (+ (* -3 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* -3/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 4)))) (* 1/4 (/ 1 (pow (sqrt -1) 6)))) (pow u1 3))) (* 1/2 (/ (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 4)))) (pow u1 2))))) (/ 1/2 (* u1 (pow (sqrt -1) 2))))
(-.f32 (+.f32 (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (-.f32 (/.f32 #s(literal -9/8 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 6 binary32)))) #s(literal 5/16 binary32)) u1) (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) #s(literal 3/8 binary32))) (*.f32 u1 u1)) (log.f32 (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal -1/2 binary32) u1))
(/ -1 u1)
(/.f32 #s(literal -1 binary32) u1)
(* -1 (/ (+ 1 (/ 1 u1)) u1))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1)
(/.f32 (-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1 binary32)) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) u1)
(/.f32 (-.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)) u1)
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 1/2 binary32) u1) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(+ (* -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 #s(literal -1/2 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 -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 #s(literal -1/2 binary32) (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 3/8 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 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 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 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/16 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3/8 binary32))) (neg.f32 u1))) 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)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(*.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))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) #s(literal -1/2 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 (/ (+ (* 1/2 (* (sqrt u1) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sqrt -1) (+ 1 (* -1/4 u1)))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (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 #s(literal -1/2 binary32) (/.f32 (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)))))
(+ (log (sqrt -1)) (* 1/2 (/ 1 u1)))
(-.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal -1/2 binary32) u1))
(+ (log (sqrt -1)) (+ (/ 1/4 (pow u1 2)) (* 1/2 (/ 1 u1))))
(+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) u1) #s(literal 1/2 binary32)) u1) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* -1 (/ (- (* -1 (/ (+ 1/4 (* 1/6 (/ 1 u1))) u1)) 1/2) u1)))
(-.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) u1) #s(literal 1/4 binary32)) u1) #s(literal -1 binary32) #s(literal -1/2 binary32)) u1))
(* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1))
(/.f32 (+.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) 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 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1 binary32)) u1)) (neg.f32 u1))
(sqrt (/ u1 (- 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(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 #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 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (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))))

rewrite210.0ms (2.8%)

Memory

-2.9MiB live, 198.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	204
0	60	198
1	147	193
2	698	193
3	7180	176
0	8012	170

Stop Event

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

Counts

22 → 732

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)))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.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))) (sin.f32 (atan.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 (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 (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))
(*.f32 (fabs.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (fabs.f32 (pow.f32 (/.f32 u1 (-.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 (/.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 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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 (-.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 (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) (sin.f32 (atan.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 (sinh.f32 (log.f32 (sin.f32 (atan.f32 (sqrt.f32 u1))))) #s(literal 2 binary32)) (pow.f32 (cosh.f32 (log.f32 (sin.f32 (atan.f32 (sqrt.f32 u1))))) #s(literal 2 binary32))) (-.f32 (sinh.f32 (log.f32 (sin.f32 (atan.f32 (sqrt.f32 u1))))) (cosh.f32 (log.f32 (sin.f32 (atan.f32 (sqrt.f32 u1)))))))
(/.f32 (fma.f32 #s(literal 2 binary32) (sinh.f32 (log.f32 (sin.f32 (atan.f32 (sqrt.f32 u1))))) (*.f32 #s(literal 2 binary32) (cosh.f32 (log.f32 (sin.f32 (atan.f32 (sqrt.f32 u1))))))) #s(literal 2 binary32))
(/.f32 (fma.f32 #s(literal 2 binary32) (cosh.f32 (log.f32 (sin.f32 (atan.f32 (sqrt.f32 u1))))) (*.f32 #s(literal 2 binary32) (sinh.f32 (log.f32 (sin.f32 (atan.f32 (sqrt.f32 u1))))))) #s(literal 2 binary32))
(/.f32 (neg.f32 (+.f32 (pow.f32 (sinh.f32 (log.f32 (sin.f32 (atan.f32 (sqrt.f32 u1))))) #s(literal 3 binary32)) (pow.f32 (cosh.f32 (log.f32 (sin.f32 (atan.f32 (sqrt.f32 u1))))) #s(literal 3 binary32)))) (neg.f32 (-.f32 (cosh.f32 (+.f32 (log.f32 (sin.f32 (atan.f32 (sqrt.f32 u1)))) (log.f32 (sin.f32 (atan.f32 (sqrt.f32 u1)))))) (*.f32 (sinh.f32 (log.f32 (sin.f32 (atan.f32 (sqrt.f32 u1))))) (cosh.f32 (log.f32 (sin.f32 (atan.f32 (sqrt.f32 u1)))))))))
(/.f32 (neg.f32 (neg.f32 (sqrt.f32 u1))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (sqrt.f32 (neg.f32 u1))) (neg.f32 (sqrt.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))))
(/.f32 (fma.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (log.f32 (sin.f32 (atan.f32 (sqrt.f32 u1)))))) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (log.f32 (sin.f32 (atan.f32 (sqrt.f32 u1)))))))) #s(literal 4 binary32))
(/.f32 (fma.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (log.f32 (sin.f32 (atan.f32 (sqrt.f32 u1)))))) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (log.f32 (sin.f32 (atan.f32 (sqrt.f32 u1)))))))) #s(literal 4 binary32))
(/.f32 (+.f32 (pow.f32 (sinh.f32 (log.f32 (sin.f32 (atan.f32 (sqrt.f32 u1))))) #s(literal 3 binary32)) (pow.f32 (cosh.f32 (log.f32 (sin.f32 (atan.f32 (sqrt.f32 u1))))) #s(literal 3 binary32))) (+.f32 (pow.f32 (sinh.f32 (log.f32 (sin.f32 (atan.f32 (sqrt.f32 u1))))) #s(literal 2 binary32)) (-.f32 (pow.f32 (cosh.f32 (log.f32 (sin.f32 (atan.f32 (sqrt.f32 u1))))) #s(literal 2 binary32)) (*.f32 (sinh.f32 (log.f32 (sin.f32 (atan.f32 (sqrt.f32 u1))))) (cosh.f32 (log.f32 (sin.f32 (atan.f32 (sqrt.f32 u1)))))))))
(/.f32 (+.f32 (pow.f32 (sinh.f32 (log.f32 (sin.f32 (atan.f32 (sqrt.f32 u1))))) #s(literal 3 binary32)) (pow.f32 (cosh.f32 (log.f32 (sin.f32 (atan.f32 (sqrt.f32 u1))))) #s(literal 3 binary32))) (-.f32 (cosh.f32 (+.f32 (log.f32 (sin.f32 (atan.f32 (sqrt.f32 u1)))) (log.f32 (sin.f32 (atan.f32 (sqrt.f32 u1)))))) (*.f32 (sinh.f32 (log.f32 (sin.f32 (atan.f32 (sqrt.f32 u1))))) (cosh.f32 (log.f32 (sin.f32 (atan.f32 (sqrt.f32 u1))))))))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (atan.f32 (sqrt.f32 u1))))))
(/.f32 (sqrt.f32 u1) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 u1))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (atan.f32 (sqrt.f32 u1)))))
(-.f32 (/.f32 (pow.f32 (cosh.f32 (log.f32 (sin.f32 (atan.f32 (sqrt.f32 u1))))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 (atan.f32 (sqrt.f32 u1))))) (/.f32 (pow.f32 (sinh.f32 (log.f32 (sin.f32 (atan.f32 (sqrt.f32 u1))))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 (atan.f32 (sqrt.f32 u1))))))
(pow.f32 (exp.f32 (-.f32 (log.f32 u1) (log1p.f32 u1))) #s(literal 1/2 binary32))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1)))
(pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))
(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 1/2 binary32))
(sin.f32 (atan.f32 (sqrt.f32 u1)))
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(+.f32 (cosh.f32 (fma.f32 (log.f32 u1) #s(literal 1/2 binary32) (.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)))) (sinh.f32 (fma.f32 (log.f32 u1) #s(literal 1/2 binary32) (.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)))))
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(/.f32 (*.f32 (cosh.f32 (atanh.f32 (sqrt.f32 u1))) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 #s(literal 1 binary32) (-.f32 (.f32 u1 u1) #s(literal 1 binary32))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (.f32 #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 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(/.f32 (.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(/.f32 (.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (.f32 (sqrt.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))))
(/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (.f32 (sqrt.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (sqrt.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))) (.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))))
(/.f32 (.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 #s(literal 1 binary32)))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))
(/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
(-.f32 (cosh.f32 (log1p.f32 u1)) (sinh.f32 (log1p.f32 u1)))
(fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(fma.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))
(fma.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)))
(fma.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))
(fma.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)))
(fma.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)))
(fma.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))
(fma.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (*.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))
(fma.f32 #s(literal 1 binary32) (/.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)))))
(fma.f32 u1 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log1p.f32 u1)) #s(literal -1 binary32))
(pow.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32))
(pow.f32 (*.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (exp.f32 (neg.f32 (log1p.f32 u1)))) #s(literal 1/2 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(pow.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal -2 binary32))
(pow.f32 (cosh.f32 (atanh.f32 (sqrt.f32 u1))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32))
(+.f32 (cosh.f32 (fma.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32) (.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)))) (sinh.f32 (fma.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32) (.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)))))
(+.f32 (cosh.f32 (.f32 (.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 2 binary32))) (sinh.f32 (.f32 (.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 2 binary32))))
(+.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(+.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))
(+.f32 (.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))
(+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))
(+.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)))

eval226.0ms (3%)

Memory: -0.5MiB live, 204.2MiB allocated
Compiler: Compiled 23 914 to 3 574 computations (85.1% saved)

prune93.0ms (1.2%)

Memory

0.4MiB live, 76.7MiB allocated

Pruning

36 alts after pruning (33 fresh and 3 done)

	Pruned	Kept	Total
New	894	23	917
Fresh	1	10	11
Picked	3	2	5
Done	0	1	1
Total	898	36	934

Accuracy

99.8%

Counts

934 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.8%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.2%	(.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)))
	75.4%	(.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)))
▶	88.5%	(.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 (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)))
	98.3%	(.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)))
	89.0%	(.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)))
	98.6%	(.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (cosh.f32 (atanh.f32 (sqrt.f32 u1))))
	98.8%	(.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)))
	98.7%	(.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.9%	(.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)))
✓	61.2%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	89.4%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (.f32 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	89.3%	(.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))))
	95.6%	(.f32 (exp.f32 (log.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)))
	76.8%	(.f32 (exp.f32 #s(approx (log (sqrt (/ u1 (- 1 u1)))) (log.f32 (sqrt.f32 u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	78.6%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.4%	#s(approx (* (sqrt (/ u1 (- 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)))))
	81.4%	#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)))))
	81.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	80.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.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)))))
	67.6%	#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)))))
	81.4%	#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))))
	81.4%	#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)))))
	0.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 u1)) #s(literal 1 binary32)))))
	67.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32)))))
	67.6%	#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)))))
	67.6%	#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)))))
▶	66.0%	#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))))))
	66.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32)))))))
✓	81.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
▶	66.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
	66.0%	#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))))
	81.2%	#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 1 369 to 1 108 computations (19.1% saved)

simplify147.0ms (2%)

Memory

22.8MiB live, 104.1MiB 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	(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.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 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))))
cost-diff	1	(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
cost-diff	5	(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32)))
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: 0 (0.0ms)

Iter	Nodes	Cost
0	38	272
0	63	248
1	101	238
2	186	238
3	455	238
4	1352	238
5	4432	238
0	8220	237

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

localize147.0ms (2%)

Memory

-5.8MiB live, 138.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.166347509768442	(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
accuracy	0.23828125	(/.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	0.27734375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	3.34519297606354	(fma.f32 u1 u1 #s(literal 1 binary32))
accuracy	0.10624392594317329	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.15234375	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.27734375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	6.763191591921159	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
accuracy	0.109375	(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32)))))
accuracy	0.22265625	(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32)))
accuracy	0.28125	(/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))
accuracy	10.835038588200538	#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))))))
accuracy	0.0	(+.f32 u1 #s(literal 1 binary32))
accuracy	0.109375	(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
accuracy	0.28125	(/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
accuracy	10.835038588200538	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
accuracy	0.15234375	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
accuracy	0.15234375	(.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	0.25	(*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.27734375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

88.0ms

256×

valid

Compiler

Compiled 257 to 34 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 24.0ms (33% of total)

ival-sub: 20.0ms (27.5% of total)

ival-div: 10.0ms (13.8% of total)

ival-sqrt: 10.0ms (13.8% of total)

const: 4.0ms (5.5% of total)

ival-cos: 3.0ms (4.1% of total)

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

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

17.3MiB live, 17.3MiB allocated

Counts

24 → 102

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))
(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32)))
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
#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))))))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32)))))
(.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 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))
(fma.f32 u1 u1 #s(literal 1 binary32))
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) 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))))
-1
(- (pow u1 2) 1)
(* 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 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)))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 (pow u1 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) (+ 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 (* -1 (/ (- 1/2 (* 3/8 (/ 1 u1))) u1)))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 3/8 (* 5/16 (/ 1 u1))) u1))) u1)))
(* -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)))
(+ 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)))
(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) (/ (- (* u1 u1) 1) (- u1 1)) (- (* u1 u1) 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- u1 1)))) (* (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 (/ (- (* u1 u1) 1) (- u1 1))) (+ (* u1 u1) 1) (* (+ (* u1 u1) 1) (- 1 u1)))
2.0ms	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) (/ (- (* u1 u1) 1) (- u1 1)) (- (* u1 u1) 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- u1 1)))) (* (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 (/ (- (* u1 u1) 1) (- u1 1))) (+ (* 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) (/ (- (* u1 u1) 1) (- u1 1)) (- (* u1 u1) 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- u1 1)))) (* (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 (/ (- (* u1 u1) 1) (- u1 1))) (+ (* u1 u1) 1) (* (+ (* u1 u1) 1) (- 1 u1)))
1.0ms	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) (/ (- (* u1 u1) 1) (- u1 1)) (- (* u1 u1) 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- u1 1)))) (* (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 (/ (- (* u1 u1) 1) (- u1 1))) (+ (* u1 u1) 1) (* (+ (* u1 u1) 1) (- 1 u1)))
1.0ms	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) (/ (- (* u1 u1) 1) (- u1 1)) (- (* u1 u1) 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- u1 1)))) (* (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 (/ (- (* u1 u1) 1) (- u1 1))) (+ (* u1 u1) 1) (* (+ (* u1 u1) 1) (- 1 u1)))

simplify163.0ms (2.2%)

Memory

0.4MiB live, 218.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	358	1602
1	1235	1385
2	5127	1367
0	8237	1295

Stop Event

1×	iter limit
1×	node limit

Counts

102 → 101

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))))
-1
(- (pow u1 2) 1)
(* 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 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)))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 (pow u1 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) (+ 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 (* -1 (/ (- 1/2 (* 3/8 (/ 1 u1))) u1)))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 3/8 (* 5/16 (/ 1 u1))) u1))) u1)))
(* -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)))
(+ 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)))
(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))))
(.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 u1 #s(literal 1/2 binary32)) (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 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.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 u1 #s(literal 1/2 binary32)) (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))
1
#s(literal 1 binary32)
(+ 1 u1)
(-.f32 u1 #s(literal -1 binary32))
(+ 1 (* u1 (+ 1 u1)))
(fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
(fma.f32 (fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))
(+ (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))
(* 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)
-1
#s(literal -1 binary32)
(- (pow u1 2) 1)
(fma.f32 u1 u1 #s(literal -1 binary32))
(* u1 (+ 1 (pow u1 2)))
(+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 5))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 5 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 3) (+ (* -1/8 (sqrt (pow u1 3))) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (pow.f32 u1 #s(literal 3 binary32)) (sqrt.f32 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)))))))
(fma.f32 (.f32 (pow.f32 u1 #s(literal 3 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32) (fma.f32 (pow.f32 u1 #s(literal 6 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/8 binary32) (.f32 #s(literal 1/16 binary32) (sqrt.f32 u1))) (sqrt.f32 u1)))
(+ 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 (+ 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 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)) u1) #s(literal 1 binary32)) u1) #s(literal 1 binary32))
(* (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 u1)
(/.f32 #s(literal -1 binary32) u1)
(* -1 (/ (+ 1 (/ 1 u1)) u1))
(/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1)
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)) u1) #s(literal 1 binary32)) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) u1)
(/.f32 (-.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)) 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) (/.f32 #s(literal 5/16 binary32) u1)) u1) #s(literal -1/2 binary32)) u1) #s(literal 1 binary32))
(- 1 (/ 1 u1))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))
(- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1))
(-.f32 (+.f32 (/.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))
(* u1 (+ 1 (/ 1 u1)))
(-.f32 u1 #s(literal -1 binary32))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1)) u1) u1)
(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)
(sqrt (pow u1 3))
(sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (* 1/2 (sqrt (/ 1 (pow u1 5))))))
(.f32 (fma.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) (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 9)))) (* 1/2 (sqrt (/ 1 (pow u1 5)))))))
(.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 9 binary32)))) #s(literal -1/8 binary32) (fma.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) (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 9)))) (+ (* 1/16 (sqrt (/ 1 (pow u1 13)))) (* 1/2 (sqrt (/ 1 (pow u1 5))))))))
(.f32 (+.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 13 binary32)))) #s(literal 1/16 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 9 binary32)))) #s(literal -1/8 binary32) (.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 (pow u1 2))))
(fma.f32 u1 u1 #s(literal 1 binary32))
(* -1 (pow u1 3))
(pow.f32 (neg.f32 u1) #s(literal 3 binary32))
(* (pow u1 3) (- (/ 1 u1) 1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (pow.f32 u1 #s(literal 3 binary32)))
(* (pow u1 3) (- (/ 1 u1) (+ 1 (/ 1 (pow u1 2)))))
(*.f32 (-.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)))
(* (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 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32))
(+ (* -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))
(-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 3/8 binary32) (/.f32 #s(literal 5/16 binary32) u1)) u1) #s(literal 1/2 binary32)) (neg.f32 u1)) #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 (* -1 (/ (- 1/2 (* 3/8 (/ 1 u1))) u1)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 3/8 binary32) u1)) u1))
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 3/8 (* 5/16 (/ 1 u1))) u1))) u1)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 3/8 binary32) (/.f32 #s(literal 5/16 binary32) u1)) u1)) 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 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) #s(literal 1/2 binary32) (.f32 #s(literal -1 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 (fma.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (/.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)))) (*.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 (fma.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (/.f32 (-.f32 (.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 u1 #s(literal 3 binary32)))) (.f32 u1 u1))
(* -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 (/.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 (* (pow u1 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))))
(*.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) u1)))
(sqrt (/ u1 (- 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 #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 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (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)))))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
(+ 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))))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))

rewrite263.0ms (3.5%)

Memory

-17.1MiB live, 392.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	222
0	63	188
1	174	168
2	1026	165
0	10556	164

Stop Event

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

Counts

24 → 2 071

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

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

eval196.0ms (2.6%)

Memory: 45.5MiB live, 592.9MiB allocated
Compiler: Compiled 52 614 to 7 091 computations (86.5% saved)

prune58.0ms (0.8%)

Memory

-23.9MiB live, 176.9MiB allocated

Pruning

44 alts after pruning (37 fresh and 7 done)

	Pruned	Kept	Total
New	1 615	18	1 633
Fresh	9	19	28
Picked	1	4	5
Done	0	3	3
Total	1 625	44	1 669

Accuracy

99.8%

Counts

1 669 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	75.4%	(.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)))
✓	88.7%	(.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)))
	30.7%	(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 u1 #s(literal 1 binary32))) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.3%	(.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)))
	89.0%	(.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)))
	98.6%	(.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (cosh.f32 (atanh.f32 (sqrt.f32 u1))))
	98.6%	(.f32 (.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (sqrt.f32 u1))
▶	98.6%	(.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)))
	98.7%	(.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.9%	(.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)))
	89.3%	(.f32 (sqrt.f32 (.f32 u1 #s(approx (/ 1 (- 1 u1)) (-.f32 u1 #s(literal -1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	61.2%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	89.4%	(.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))))
	95.6%	(.f32 (exp.f32 (log.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)))
	78.4%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	78.6%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	76.7%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	81.4%	#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)))))
	81.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	80.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.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)))))
	81.4%	#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))))
	81.4%	#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)))))
	0.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 u1)) #s(literal 1 binary32)))))
	67.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32)))))
	67.6%	#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)))))
	64.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (/.f32 (.f32 (neg.f32 u1) u1) #s(literal 1 binary32)) (/.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (-.f32 u1 #s(literal 1 binary32))))))
	64.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (.f32 (neg.f32 u1) u1) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (-.f32 u1 #s(literal 1 binary32))))))
	64.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (fabs.f32 (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (fabs.f32 (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (-.f32 u1 #s(literal 1 binary32))))))
	65.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 (*.f32 (neg.f32 u1) u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32))))))
	65.9%	#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))))))
	65.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
✓	81.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	75.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1))))))
✓	66.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
	81.2%	#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))))
▶	14.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ u1 1)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)))))
	67.6%	#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))))
	66.0%	#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))))
	13.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) (-.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32))))
	3.9%	#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 1 874 to 1 454 computations (22.4% saved)

simplify199.0ms (2.6%)

Memory

5.0MiB live, 256.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
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)))
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))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
cost-diff	0	#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)))))
cost-diff	5	(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))))
cost-diff	0	(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))
cost-diff	0	#s(approx (/ u1 (+ u1 1)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)))
cost-diff	0	(sqrt.f32 #s(approx (/ u1 (+ u1 1)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ u1 1)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)))))
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	(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
cost-diff	0	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	336
0	77	316
1	141	314
2	359	297
3	1139	297
4	4566	297
0	8186	295

Stop Event

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

Calls

Call 1

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

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

localize109.0ms (1.4%)

Memory

6.8MiB live, 206.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.166347509768442	(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
accuracy	0.21875	(/.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	0.27734375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	3.34519297606354	(fma.f32 u1 u1 #s(literal 1 binary32))
accuracy	0.37109375	(.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)))
accuracy	2.1045980445994052	#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)))))
accuracy	4.633748849255019	(fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
accuracy	5.857135946853179	(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))))
accuracy	0.12539321226173908	(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))
accuracy	0.265625	(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)
accuracy	10.835038588200538	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ u1 1)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)))))
accuracy	28.361689840490882	#s(approx (/ u1 (+ u1 1)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)))
accuracy	10.835038588200538	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) #s(literal -1 binary32)))
accuracy	30.936670565121165	#s(approx (sqrt (/ u1 (+ u1 1))) #s(literal -1 binary32))
accuracy	0.14453125	(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.15234375	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
accuracy	0.1875	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.27734375	(*.f32 #s(literal -314159265359/50000000000 binary32) u2)

Samples

82.0ms

256×

valid

Compiler

Compiled 279 to 43 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 18.0ms (27.5% of total)

const: 15.0ms (22.9% of total)

ival-div: 9.0ms (13.7% of total)

ival-sqrt: 8.0ms (12.2% of total)

ival-sub: 5.0ms (7.6% of total)

ival-cos: 5.0ms (7.6% of total)

ival-add: 4.0ms (6.1% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.4%)

Memory

-26.6MiB live, 54.6MiB allocated

Counts

26 → 148

Calls

Call 1

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

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) (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) (* -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
(* u1 (+ 1 (* -1 u1)))
(* u1 (+ 1 (* u1 (- u1 1))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))
(/ 1 (pow u1 2))
(/ (+ 1 (* -1 u1)) (pow u1 2))
(/ (+ 1 (* u1 (- u1 1))) (pow u1 2))
(+ (sqrt u1) (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))
(+ (sqrt u1) (+ (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))))
(+ (sqrt u1) (+ (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))))))))
(+ (sqrt u1) (+ (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (- 1 (* 1/4 (/ 1 u1))) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) (* 1/2 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1)))))))))))))))
(* (sqrt u1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))
(+ (* 1/2 (* (sqrt (pow u1 3)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (sqrt u1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ (* (sqrt u1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* 1/2 (* (sqrt (/ 1 u1)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))
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1
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(/ -1 (pow u1 2))
(/ (- u1 1) (pow u1 2))
(/ -1 u1)
(/ (- u1 1) u1)
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(sqrt -1)
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-1
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(* -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)))
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(* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))
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(* -314159265359/50000000000 u2)
-98696044010906577398881/5000000000000000000000
(- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (cos (* -314159265359/50000000000 u2)))
(cos (* -314159265359/50000000000 u2))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4)))
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
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(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
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(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	u1	@	0	((/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt u1) (cos (* -314159265359/50000000000 u2)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ u1 1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ u1 1))) (/ u1 (+ u1 1)) (- 1 (/ (- 1 (/ 1 u1)) u1)) (+ (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000)) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000)) (sqrt (/ u1 (- 1 u1))) (/ (* 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)))) (* -314159265359/50000000000 u2) (sqrt (- 1 u1)) (/ (- 1 (/ 1 u1)) u1) (- 1 (/ 1 u1)) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (+ (* u1 u1) 1) (* 314159265359/50000000000 u2) (* (+ (* u1 u1) 1) (- 1 u1)))
5.0ms	u1	@	inf	((/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt u1) (cos (* -314159265359/50000000000 u2)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ u1 1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ u1 1))) (/ u1 (+ u1 1)) (- 1 (/ (- 1 (/ 1 u1)) u1)) (+ (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000)) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000)) (sqrt (/ u1 (- 1 u1))) (/ (* 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)))) (* -314159265359/50000000000 u2) (sqrt (- 1 u1)) (/ (- 1 (/ 1 u1)) u1) (- 1 (/ 1 u1)) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (+ (* u1 u1) 1) (* 314159265359/50000000000 u2) (* (+ (* u1 u1) 1) (- 1 u1)))
5.0ms	u1	@	-inf	((/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt u1) (cos (* -314159265359/50000000000 u2)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ u1 1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ u1 1))) (/ u1 (+ u1 1)) (- 1 (/ (- 1 (/ 1 u1)) u1)) (+ (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000)) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000)) (sqrt (/ u1 (- 1 u1))) (/ (* 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)))) (* -314159265359/50000000000 u2) (sqrt (- 1 u1)) (/ (- 1 (/ 1 u1)) u1) (- 1 (/ 1 u1)) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (+ (* u1 u1) 1) (* 314159265359/50000000000 u2) (* (+ (* u1 u1) 1) (- 1 u1)))
4.0ms	u2	@	-inf	((/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt u1) (cos (* -314159265359/50000000000 u2)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ u1 1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ u1 1))) (/ u1 (+ u1 1)) (- 1 (/ (- 1 (/ 1 u1)) u1)) (+ (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000)) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000)) (sqrt (/ u1 (- 1 u1))) (/ (* 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)))) (* -314159265359/50000000000 u2) (sqrt (- 1 u1)) (/ (- 1 (/ 1 u1)) u1) (- 1 (/ 1 u1)) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (+ (* u1 u1) 1) (* 314159265359/50000000000 u2) (* (+ (* u1 u1) 1) (- 1 u1)))
2.0ms	u2	@	inf	((/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt u1) (cos (* -314159265359/50000000000 u2)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ u1 1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ u1 1))) (/ u1 (+ u1 1)) (- 1 (/ (- 1 (/ 1 u1)) u1)) (+ (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000)) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000)) (sqrt (/ u1 (- 1 u1))) (/ (* 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)))) (* -314159265359/50000000000 u2) (sqrt (- 1 u1)) (/ (- 1 (/ 1 u1)) u1) (- 1 (/ 1 u1)) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (+ (* u1 u1) 1) (* 314159265359/50000000000 u2) (* (+ (* u1 u1) 1) (- 1 u1)))

simplify141.0ms (1.9%)

Memory

24.5MiB live, 218.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	560	3274
1	2003	2849
0	8815	2700

Stop Event

1×	iter limit
1×	node limit

Counts

148 → 147

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

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

rewrite241.0ms (3.2%)

Memory

-24.9MiB live, 337.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	296
0	77	296
1	245	291
2	1656	285
0	8605	283

Stop Event

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

Counts

26 → 713

Calls

Call 1

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

Outputs
(.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 (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)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32))) (sqrt.f32 u1)))) (neg.f32 (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
(/.f32 (neg.f32 (*.f32 (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32))) (sqrt.f32 u1))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (*.f32 (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.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 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (/.f32 (*.f32 (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (/.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (neg.f32 (pow.f32 u1 #s(literal 1/4 binary32))) (neg.f32 (pow.f32 u1 #s(literal 1/4 binary32))))
(*.f32 (fabs.f32 (pow.f32 u1 #s(literal 1/4 binary32))) (fabs.f32 (pow.f32 u1 #s(literal 1/4 binary32))))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (sqrt.f32 u1))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(*.f32 #s(literal 1 binary32) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(sqrt.f32 u1)
(pow.f32 (exp.f32 (log.f32 u1)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 u1 #s(literal 1/2 binary32))
(+.f32 (cosh.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (sinh.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(/.f32 (+.f32 (pow.f32 (.f32 (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) #s(literal 3 binary32))) (fma.f32 (.f32 (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (.f32 (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (-.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32))) (.f32 (.f32 (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32))))))
(/.f32 (+.f32 (pow.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) #s(literal 3 binary32))) (fma.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (-.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32))) (.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32))))))
(fma.f32 (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32) (.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32) (.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 #s(literal 0 binary32) (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))
(fma.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 #s(literal 0 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(sin.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))))
(+.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (.f32 #s(literal 0 binary32) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+.f32 (.f32 (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)))
(+.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
#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(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ u1 1)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)))))
(*.f32 (neg.f32 (pow.f32 #s(approx (/ u1 (+ u1 1)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))) #s(literal 1/4 binary32))) (neg.f32 (pow.f32 #s(approx (/ u1 (+ u1 1)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))) #s(literal 1/4 binary32))))
(*.f32 (fabs.f32 (pow.f32 #s(approx (/ u1 (+ u1 1)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))) #s(literal 1/4 binary32))) (fabs.f32 (pow.f32 #s(approx (/ u1 (+ u1 1)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))) #s(literal 1/4 binary32))))
(*.f32 (pow.f32 #s(approx (/ u1 (+ u1 1)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))) #s(literal 1/4 binary32)) (pow.f32 #s(approx (/ u1 (+ u1 1)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))) #s(literal 1/4 binary32)))
(sqrt.f32 #s(approx (/ u1 (+ u1 1)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))))
(pow.f32 (exp.f32 (log.f32 #s(approx (/ u1 (+ u1 1)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))))) #s(literal 1/2 binary32))
(pow.f32 (*.f32 #s(approx (/ u1 (+ u1 1)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))) #s(approx (/ u1 (+ u1 1)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)))) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 #s(approx (/ u1 (+ u1 1)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 #s(approx (/ u1 (+ u1 1)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))) #s(literal 1/2 binary32))
(+.f32 (cosh.f32 (.f32 (log.f32 #s(approx (/ u1 (+ u1 1)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)))) #s(literal 1/2 binary32))) (sinh.f32 (.f32 (log.f32 #s(approx (/ u1 (+ u1 1)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)))) #s(literal 1/2 binary32))))
(exp.f32 (*.f32 (log.f32 #s(approx (/ u1 (+ u1 1)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)))) #s(literal 1/2 binary32)))
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(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)))) (neg.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 u1 u1))))
(/.f32 (neg.f32 (.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (neg.f32 (.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (neg.f32 (.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (neg.f32 (.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (neg.f32 (.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1)) (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)))) (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 u1 u1)))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)))) (neg.f32 (.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1)))))
(/.f32 (.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))
(/.f32 (.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 u1 u1)))
(/.f32 (.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 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (fma.f32 u1 u1 #s(literal 1 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 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (*.f32 (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 (-.f32 #s(literal 1 binary32) u1) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32))) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 u1 u1)))
(/.f32 (.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 (.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (-.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)) (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 u1 u1))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) (.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (-.f32 (*.f32 u1 u1) #s(literal 1 binary32))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32))) (.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1))))
(fma.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1) (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (-.f32 #s(literal 1 binary32) u1) (.f32 u1 u1) (.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)))
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1) (.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)))
(+.f32 (.f32 (.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 u1 u1) (-.f32 #s(literal 1 binary32) u1)))
(+.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(+.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)))

eval107.0ms (1.4%)

Memory: 6.2MiB live, 244.3MiB allocated
Compiler: Compiled 36 972 to 4 421 computations (88% saved)

prune51.0ms (0.7%)

Memory

6.0MiB live, 124.1MiB allocated

Pruning

55 alts after pruning (44 fresh and 11 done)

	Pruned	Kept	Total
New	923	15	938
Fresh	3	29	32
Picked	1	4	5
Done	0	7	7
Total	927	55	982

Accuracy

99.8%

Counts

982 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	81.2%	(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	75.4%	(.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)))
✓	88.5%	(.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)))
	31.0%	(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 u1 #s(literal 1 binary32))) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.4%	(.f32 (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
	98.3%	(.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)))
	89.0%	(.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)))
	98.6%	(.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (cosh.f32 (atanh.f32 (sqrt.f32 u1))))
	98.6%	(.f32 (.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (sqrt.f32 u1))
✓	98.5%	(.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)))
✓	98.9%	(.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)))
	89.3%	(.f32 (sqrt.f32 (.f32 u1 #s(approx (/ 1 (- 1 u1)) (-.f32 u1 #s(literal -1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	61.5%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	89.4%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (.f32 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	95.6%	(.f32 (exp.f32 (log.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)))
	78.4%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	78.6%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	76.7%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.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)))))
	81.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 u1) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	81.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (-.f32 (.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	81.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (+.f32 (.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)))))
	81.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
✓	81.4%	#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)))))
	81.4%	#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 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	81.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ ( (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	81.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ ( (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (.f32 (.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) u2) u2))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	4.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2))))
	81.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (fma.f32 (.f32 (sqrt.f32 u1) (.f32 (.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (-.f32 #s(literal 1 binary32) u1)))
	88.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) (.f32 (.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	81.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	89.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #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)))))
	80.7%	#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)))))
	81.4%	#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))))
	81.4%	#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)))))
	0.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 u1)) #s(literal 1 binary32)))))
	67.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32)))))
	67.6%	#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)))))
	64.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (.f32 (neg.f32 u1) u1) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (-.f32 u1 #s(literal 1 binary32))))))
	64.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (fabs.f32 (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (fabs.f32 (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (-.f32 u1 #s(literal 1 binary32))))))
	65.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 (*.f32 (neg.f32 u1) u1) #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32))))))
	65.9%	#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))))))
	65.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
✓	81.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	75.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1))))))
✓	66.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
	81.2%	#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))))
	14.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ u1 1)) (-.f32 #s(literal 1 binary32) #s(approx (/ (- 1 (/ 1 u1)) u1) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))))
	67.6%	#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))))
	66.0%	#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))))
	13.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) (-.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32))))
	3.9%	#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 3 249 to 1 426 computations (56.1% saved)

regimes251.0ms (3.3%)

Memory

12.1MiB live, 213.6MiB allocated

Counts

73 → 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 (/.f32 #s(literal 1/2 binary32) u1) #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))) (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 #s(approx (/ u1 (+ u1 1)) (-.f32 #s(literal 1 binary32) #s(approx (/ (- 1 (/ 1 u1)) u1) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))))
#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))) (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))) (sqrt.f32 #s(approx (/ u1 (+ u1 1)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)))))
#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 (-.f32 (*.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 (+.f32 (*.f32 (neg.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 (.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 u1 (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 u1)) #s(literal 1 binary32)))))
#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))) (sqrt.f32 (/.f32 u1 (-.f32 (*.f32 u1 (/.f32 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))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32)))))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 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))) (sqrt.f32 (/.f32 u1 (+.f32 (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (neg.f32 (/.f32 #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 (+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) (.f32 (.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2))) (sqrt.f32 (-.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 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.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))) (fma.f32 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.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))) (+.f32 (.f32 (.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #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)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ ( (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ ( (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (.f32 (.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) u2) u2))) (.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 (sqrt.f32 u1) (.f32 (.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 u1) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.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)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (+.f32 (.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)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (-.f32 (.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #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 (/.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (.f32 (neg.f32 u1) u1) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (-.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (/.f32 (.f32 (neg.f32 u1) u1) #s(literal 1 binary32)) (/.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (-.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (fabs.f32 (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (fabs.f32 (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (-.f32 u1 #s(literal 1 binary32))))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 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)))
(.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 u1 #s(literal -1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.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 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(/.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 (.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 (/.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 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (sqrt.f32 u1))
(.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (.f32 (-.f32 (pow.f32 u1 #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 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 (.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 u1 #s(literal 1 binary32))) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (exp.f32 #s(approx (log (sqrt (/ u1 (- 1 u1)))) (log.f32 (sqrt.f32 u1)))) (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 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.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))) (cosh.f32 (atanh.f32 (sqrt.f32 u1))))
(.f32 (exp.f32 (log.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 (exp.f32 (.f32 (log.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 (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)))

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

Calls

8 calls:

73.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
36.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
32.0ms	cosTheta_i
28.0ms	u2
21.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

Results

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

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes188.0ms (2.5%)

Memory

22.0MiB live, 130.7MiB allocated

Counts

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

8 calls:

57.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
38.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
24.0ms	u1
13.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
13.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
89.4%	1	`cosTheta_i`
93.9%	2	`u1`
94.4%	2	`u2`
94.4%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
93.9%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
93.9%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
94.4%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
94.4%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes150.0ms (2%)

Memory

-18.5MiB live, 101.4MiB allocated

Counts

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

Outputs

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

8 calls:

30.0ms	cosTheta_i
28.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
27.0ms	(cos.f32 (*.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

Results

Accuracy	Segments	Branch
81.4%	1	`cosTheta_i`
89.3%	2	`u1`
89.3%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
89.3%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
90.5%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
91.2%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
91.2%	2	`u2`
91.2%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes195.0ms (2.6%)

Memory

5.9MiB live, 166.5MiB allocated

Counts

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

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

Calls

7 calls:

51.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
49.0ms	u1
40.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
16.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
12.0ms	u2

Results

Accuracy	Segments	Branch
81.4%	1	`u1`
81.4%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
81.4%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
81.4%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
81.4%	1	`u2`
81.4%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
81.4%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 31 to 41 computations (-32.3% saved)

regimes28.0ms (0.4%)

Memory

17.9MiB live, 57.1MiB allocated

Counts

6 → 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 (/.f32 #s(literal 1/2 binary32) u1) #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))) (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 #s(approx (/ u1 (+ u1 1)) (*.f32 (fma.f32 (-.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))))

Calls

8 calls:

8.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
3.0ms	(*.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	u2
3.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
67.6%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
67.6%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
67.6%	1	`cosTheta_i`
67.6%	1	`u1`
67.6%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
67.6%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
67.6%	1	`u2`
67.6%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes50.0ms (0.7%)

Memory

-9.8MiB live, 39.1MiB allocated

Counts

4 → 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 (/.f32 #s(literal 1/2 binary32) u1) #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))))

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:

34.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
2.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
2.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
2.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
66.0%	1	`u1`
66.0%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
66.0%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
66.0%	1	`u2`
66.0%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
66.0%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
66.0%	1	`cosTheta_i`
66.0%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes44.0ms (0.6%)

Memory

-34.0MiB live, 43.6MiB 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 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32))))

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

Calls

8 calls:

30.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
3.0ms	cosTheta_i
2.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
2.0ms	u2

Results

Accuracy	Segments	Branch
13.8%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
13.8%	1	`u1`
13.8%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
13.8%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
13.8%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
13.8%	1	`u2`
13.8%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
13.8%	1	`cosTheta_i`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes12.0ms (0.2%)

Memory

23.8MiB live, 23.8MiB allocated

Counts

2 → 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))))

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:

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

Results

Accuracy	Segments	Branch
3.9%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
3.9%	1	`cosTheta_i`
3.9%	1	`u1`
3.9%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
3.9%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
3.9%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
3.9%	1	`u2`
3.9%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes27.0ms (0.4%)

Memory

-17.8MiB live, 20.6MiB 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:

19.0ms	u2
1.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
1.0ms	cosTheta_i
1.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
1.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

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

Compiler

Compiled 32 to 44 computations (-37.5% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00034061926999129355	0.0003981076879426837

Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0033711532596498728	0.005342382937669754

Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify14.0ms (0.2%)

Memory

18.3MiB live, 18.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	227
1	76	227
2	103	227
3	128	227
4	150	227
5	156	227
6	157	227

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3006477/8589934592 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 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 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5368709/1073741824 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 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))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ 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 #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 (/.f32 #s(literal 1/2 binary32) u1) #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))) #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 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3006477/8589934592 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 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 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5368709/1073741824 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 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))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ 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 #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 (/.f32 #s(literal 1/2 binary32) u1) #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))) #s(literal -1 binary32)))

soundness807.0ms (10.7%)

Memory

15.3MiB live, 592.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	760
1	626	670
2	2558	582
0	8338	554
0	35	204
0	60	198
1	147	193
2	698	193
3	7180	176
0	8012	170
0	358	1602
1	1235	1385
2	5127	1367
0	8237	1295

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

Compiler

Compiled 398 to 239 computations (39.9% saved)

preprocess42.0ms (0.6%)

Memory

-9.7MiB live, 105.1MiB allocated

Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 564 to 226 computations (59.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze267.0ms (3.5%)

sample2.0s (26%)

explain109.0ms (1.4%)

preprocess59.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize34.0ms (0.4%)

series9.0ms (0.1%)

simplify163.0ms (2.2%)

rewrite168.0ms (2.2%)

eval45.0ms (0.6%)

prune28.0ms (0.4%)

simplify158.0ms (2.1%)

localize144.0ms (1.9%)

series14.0ms (0.2%)

simplify159.0ms (2.1%)

rewrite210.0ms (2.8%)

eval226.0ms (3%)

prune93.0ms (1.2%)

simplify147.0ms (2%)

localize147.0ms (2%)

series13.0ms (0.2%)

simplify163.0ms (2.2%)

rewrite263.0ms (3.5%)

eval196.0ms (2.6%)

prune58.0ms (0.8%)

simplify199.0ms (2.6%)

localize109.0ms (1.4%)

series31.0ms (0.4%)

simplify141.0ms (1.9%)

rewrite241.0ms (3.2%)

eval107.0ms (1.4%)

prune51.0ms (0.7%)

regimes251.0ms (3.3%)

regimes188.0ms (2.5%)

regimes150.0ms (2%)

regimes195.0ms (2.6%)

regimes28.0ms (0.4%)

regimes50.0ms (0.7%)

regimes44.0ms (0.6%)

regimes12.0ms (0.2%)

regimes27.0ms (0.4%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify14.0ms (0.2%)

soundness807.0ms (10.7%)

preprocess42.0ms (0.6%)

end0.0ms (0%)

Profiling