Metrics for Trowbridge-Reitz Sample, near normal, slope

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze623.0ms (6.8%)

Memory

-183.7MiB live, 490.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 35 to 25 computations (28.6% saved)

sample2.1s (23.3%)

Memory

71.0MiB live, 2 622.9MiB allocated

Samples

1.7s	8 256×	0	valid
1.0ms	8×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

const: 619.0ms (45.2% of total)

ival-<=: 189.0ms (13.8% of total)

ival-cos: 156.0ms (11.4% of total)

ival-mult: 132.0ms (9.6% of total)

ival-sqrt: 71.0ms (5.2% of total)

ival-div: 64.0ms (4.7% of total)

ival->: 51.0ms (3.7% of total)

ival-sub: 45.0ms (3.3% of total)

ival-and: 34.0ms (2.5% of total)

exact: 5.0ms (0.4% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain156.0ms (1.7%)

Memory

1.8MiB live, 200.8MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

66.0ms

512×

valid

Compiler

Compiled 123 to 48 computations (61% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-div: 23.0ms (45.4% of total)

const: 8.0ms (15.8% of total)

ival-mult: 6.0ms (11.9% of total)

ival-cos: 6.0ms (11.9% of total)

ival-sub: 3.0ms (5.9% of total)

ival-sqrt: 3.0ms (5.9% of total)

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

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

exact: 0.0ms (0% of total)

preprocess39.0ms (0.4%)

Memory

-5.6MiB live, 71.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	106
1	78	104
2	128	104
3	215	102
4	369	102
5	621	102
6	781	102
7	877	102
8	916	102
9	936	102
10	940	102
0	10	11
0	16	11
1	22	11
2	26	11
3	31	11
4	38	11
5	48	11
6	63	11
7	86	11
8	108	11
9	116	11
10	118	11
0	118	11

Stop Event

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

Calls

Call 1

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

Outputs

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

(*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(.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)

simplify5.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB 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	22	36
2	26	36
3	31	36
4	38	36
5	48	36
6	63	36
7	86	36
8	108	36
9	116	36
10	118	36
0	118	36

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize36.0ms (0.4%)

Memory

-3.4MiB live, 71.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.125	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.17578125	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.32421875	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

26.0ms

256×

valid

Compiler

Compiled 74 to 24 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 4.0ms (23.8% of total)

const: 4.0ms (23.8% of total)

ival-mult: 3.0ms (17.9% of total)

ival-cos: 3.0ms (17.9% of total)

ival-sqrt: 2.0ms (11.9% of total)

ival-sub: 1.0ms (6% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

5 → 42

Calls

Call 1

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

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

Calls

9 calls:

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

simplify192.0ms (2.1%)

Memory

-37.8MiB live, 235.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	750
1	523	661
2	1559	593
3	4816	545
0	8111	519

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

rewrite163.0ms (1.8%)

Memory

-14.2MiB live, 178.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
0	16	28
1	46	28
2	237	28
3	1954	28
0	9734	28

Stop Event

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

Counts

5 → 520

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 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (hypot.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) u1))
(.f32 (.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/4 binary32))) (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/4 binary32)))
(.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/4 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/4 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 u1) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (neg.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (.f32 (sqrt.f32 (neg.f32 u1)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (neg.f32 (sqrt.f32 (-.f32 u1 #s(literal 1 binary32)))))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))))
(/.f32 (neg.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (sqrt.f32 u1)))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (neg.f32 u1)))) (neg.f32 (sqrt.f32 (-.f32 u1 #s(literal 1 binary32)))))
(/.f32 (neg.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))))
(/.f32 (neg.f32 (neg.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))))
(/.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (.f32 (sqrt.f32 (neg.f32 u1)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
(/.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
(/.f32 (neg.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(pow.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1 binary32))
(.f32 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(literal 1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (pow.f32 (neg.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -1/4 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))) #s(literal -1/2 binary32)) (pow.f32 (fma.f32 u1 u1 u1) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/2 binary32)))
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(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 (/.f32 (pow.f32 u1 #s(literal 9 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) #s(literal -1 binary32)) (/.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal -1 binary32)))
(-.f32 (/.f32 (/.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(-.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(-.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)))) (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)))))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)))
(-.f32 (/.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 (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 u1 #s(literal -1 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32)) (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))) #s(literal -1 binary32)))
(-.f32 (/.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32)) (/.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32)))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal 1 binary32)) (/.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal 1 binary32)))
(-.f32 (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(-.f32 (/.f32 #s(literal 0 binary32) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
(-.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(-.f32 #s(literal 0 binary32) (-.f32 u1 #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (/.f32 (/.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (/.f32 u1 #s(literal -1 binary32)))
(-.f32 #s(literal 1 binary32) (/.f32 u1 #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (neg.f32 u1))
(-.f32 #s(literal 1 binary32) u1)
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #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))) (neg.f32 (*.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) (.f32 u1 u1))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (.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) (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (neg.f32 (*.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)) (exp.f32 (neg.f32 (log1p.f32 u1))) (neg.f32 (*.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) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32)) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 9 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 u1 #s(literal 3 binary32))) (neg.f32 (*.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))))) (pow.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) #s(literal 1 binary32)) (neg.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (neg.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal 1 binary32))) (pow.f32 (/.f32 #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))) #s(literal -1 binary32)) (neg.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(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)) (neg.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32)) (neg.f32 (*.f32 u1 (/.f32 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)))) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) #s(literal -1 binary32)) (neg.f32 (*.f32 u1 (/.f32 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)))) (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (neg.f32 (*.f32 u1 (/.f32 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) (neg.f32 (*.f32 u1 (/.f32 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)))) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal 1 binary32)) #s(literal -1 binary32)) (neg.f32 (*.f32 u1 (/.f32 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)))) (pow.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) #s(literal 1 binary32)) (neg.f32 (*.f32 u1 (/.f32 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)))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 #s(literal -1 binary32) (pow.f32 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 #s(literal -1 binary32) (neg.f32 u1) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) u1 #s(literal 1 binary32))
(fma.f32 (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)) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (neg.f32 u1) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (neg.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(fma.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (log1p.f32 u1))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 #s(literal 1 binary32) (neg.f32 u1) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) u1 #s(literal 1 binary32))
(fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 u1 #s(literal 1 binary32) #s(literal 1 binary32))
(pow.f32 (/.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal -1 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (neg.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(+.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (neg.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+.f32 (neg.f32 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))
(exp.f32 (*.f32 (neg.f32 (log1p.f32 u1)) #s(literal -1 binary32)))
(exp.f32 (log1p.f32 u1))
(neg.f32 (-.f32 u1 #s(literal 1 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

eval78.0ms (0.8%)

Memory: -1.3MiB live, 121.1MiB allocated
Compiler: Compiled 14 466 to 2 550 computations (82.4% saved)

prune42.0ms (0.5%)

Memory

20.3MiB live, 59.8MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	540	19	559
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	540	20	560

Accuracy

99.7%

Counts

560 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.4%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
▶	99.1%	(.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.0%	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	24.6%	(.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (-.f32 (log1p.f32 u1) (log.f32 u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	99.0%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	6.3%	(.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32)) (neg.f32 (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	99.0%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.1%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	32.0%	(.f32 (sqrt.f32 (/.f32 u1 (.f32 (/.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) (fma.f32 u1 u1 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.8%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	54.2%	(.f32 (sqrt.f32 (.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.3%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
▶	98.6%	(.f32 (sqrt.f32 u1) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	74.4%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	79.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	79.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
▶	79.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))

Compiler

Compiled 721 to 591 computations (18% saved)

simplify143.0ms (1.6%)

Memory

-2.0MiB live, 150.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
cost-diff	0	(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(.f32 (sqrt.f32 u1) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	64	(-.f32 (neg.f32 u1) #s(literal 1 binary32))
cost-diff	64	(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
cost-diff	544	(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
cost-diff	0	(/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)))
cost-diff	0	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	224	(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))
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	(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
cost-diff	0	(pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32))
cost-diff	0	(.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	160	(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	272
0	70	241
1	110	239
2	181	234
3	349	234
4	1204	228
5	3805	228
6	7582	228
0	8106	227

Stop Event

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

Calls

Call 1

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

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

localize216.0ms (2.3%)

Memory

-13.3MiB live, 263.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.10024132069442182	(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy	0.15234375	(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy	0.32259750976844204	(.f32 (sqrt.f32 u1) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
accuracy	0.32421875	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy	0.125	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.17578125	(/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))
accuracy	0.32421875	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.40625	(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
accuracy	0.125	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.16796875	(/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))
accuracy	0.30078125	(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))
accuracy	0.32421875	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.0	(-.f32 #s(literal 1 binary32) u1)
accuracy	0.11328125	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.17578125	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	6.433335715340974	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.12109375	(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
accuracy	0.125	(.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.32421875	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.48666000976844204	(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))

Samples

181.0ms

256×

valid

Compiler

Compiled 539 to 84 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

ival-sub: 60.0ms (45.1% of total)

ival-div: 26.0ms (19.5% of total)

ival-mult: 19.0ms (14.3% of total)

ival-pow: 10.0ms (7.5% of total)

ival-sqrt: 6.0ms (4.5% of total)

ival-cos: 5.0ms (3.8% of total)

const: 4.0ms (3% of total)

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series471.0ms (5.1%)

Memory

27.8MiB live, 617.7MiB allocated

Counts

24 → 127

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
86.0ms	cosTheta_i	@	inf	((* (/ (- u1 1) u1) (/ (- u1 1) u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (/ -1 (- 1 u1)) (neg u1)) (* (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (/ -1 (- 1 u1)) (/ (- (* u1 u1) 1) (- (neg u1) 1)) (- (* u1 u1) 1) (- (neg u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000)))) (sqrt u1) (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (pow (- 1 u1) -1/2) (* 314159265359/50000000000 u2) (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1))) (* u2 314159265359/50000000000) (cos (* u2 314159265359/50000000000)))
66.0ms	cosTheta_i	@	0	((* (/ (- u1 1) u1) (/ (- u1 1) u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (/ -1 (- 1 u1)) (neg u1)) (* (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (/ -1 (- 1 u1)) (/ (- (* u1 u1) 1) (- (neg u1) 1)) (- (* u1 u1) 1) (- (neg u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000)))) (sqrt u1) (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (pow (- 1 u1) -1/2) (* 314159265359/50000000000 u2) (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1))) (* u2 314159265359/50000000000) (cos (* u2 314159265359/50000000000)))
59.0ms	u1	@	inf	((* (/ (- u1 1) u1) (/ (- u1 1) u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (/ -1 (- 1 u1)) (neg u1)) (* (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (/ -1 (- 1 u1)) (/ (- (* u1 u1) 1) (- (neg u1) 1)) (- (* u1 u1) 1) (- (neg u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000)))) (sqrt u1) (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (pow (- 1 u1) -1/2) (* 314159265359/50000000000 u2) (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1))) (* u2 314159265359/50000000000) (cos (* u2 314159265359/50000000000)))
50.0ms	u1	@	0	((* (/ (- u1 1) u1) (/ (- u1 1) u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (/ -1 (- 1 u1)) (neg u1)) (* (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (/ -1 (- 1 u1)) (/ (- (* u1 u1) 1) (- (neg u1) 1)) (- (* u1 u1) 1) (- (neg u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000)))) (sqrt u1) (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (pow (- 1 u1) -1/2) (* 314159265359/50000000000 u2) (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1))) (* u2 314159265359/50000000000) (cos (* u2 314159265359/50000000000)))
47.0ms	u1	@	-inf	((* (/ (- u1 1) u1) (/ (- u1 1) u1)) (* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (cos (* 314159265359/50000000000 u2))) (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (/ -1 (- 1 u1)) (neg u1)) (* (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (/ -1 (- 1 u1)) (/ (- (* u1 u1) 1) (- (neg u1) 1)) (- (* u1 u1) 1) (- (neg u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000)))) (sqrt u1) (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (pow (- 1 u1) -1/2) (* 314159265359/50000000000 u2) (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1))) (* u2 314159265359/50000000000) (cos (* u2 314159265359/50000000000)))

simplify256.0ms (2.8%)

Memory

19.2MiB live, 248.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	499	2665
1	1475	2406
2	4467	2132
0	8176	2003

Stop Event

1×	iter limit
1×	node limit

Counts

127 → 126

Calls

Call 1

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

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

rewrite63.0ms (0.7%)

Memory

1.7MiB live, 74.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	204
0	70	168
1	208	158
0	1358	157

Stop Event

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

Counts

24 → 411

Calls

Call 1

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

Outputs
(*.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 1 binary32)) (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 1 binary32)))
(*.f32 (/.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 2 binary32)) u1) (/.f32 #s(literal 1 binary32) u1))
(.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))
(.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) u1))
(.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (.f32 u1 u1)))
(.f32 (-.f32 u1 #s(literal 1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (neg.f32 u1))
(/.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))
(/.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 (/.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 2 binary32)) u1)) (neg.f32 u1))
(/.f32 (neg.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 2 binary32))) (neg.f32 (*.f32 u1 u1)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (.f32 u1 u1))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 u1 #s(literal 1 binary32))) (.f32 (neg.f32 u1) u1))
(/.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (.f32 u1 (neg.f32 u1)))
(/.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 u1 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))
(/.f32 (.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) u1))
(/.f32 (/.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 2 binary32)) u1) u1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (neg.f32 u1) (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (neg.f32 u1)))
(/.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 u1 u1))
(/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 u1 (/.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 2 binary32)) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 u1 u1) (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))
(pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 2 binary32))
(exp.f32 (*.f32 (log1p.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)))
(.f32 (.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/4 binary32))) (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/4 binary32)))
(.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/4 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/4 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/2 binary32)))
(.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/2 binary32)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/4 binary32)) (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/4 binary32)))
(pow.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1))))) #s(literal -1/4 binary32))
(pow.f32 (*.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 2 binary32)) (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 2 binary32))) #s(literal -1/8 binary32))
(pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 2 binary32)) #s(literal -1/4 binary32))
(pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -1/2 binary32))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (log1p.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) #s(literal -1/4 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 u1 #s(literal 1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (neg.f32 u1)))
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1))
(*.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(/.f32 (*.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)) (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) u1)) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (-.f32 (.f32 u1 u1) u1) (.f32 u1 u1))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) u1)
(/.f32 (.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
(/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 #s(literal 1 binary32) u1) u1))
(/.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 u1 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 u1))
(/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 u1))
(/.f32 #s(literal -1 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))
(pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal -1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))
(neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #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 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 u1)))
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 u1) (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/2 binary32)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))
(.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 u1 (-.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 u1 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) u1))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) #s(literal -1 binary32)) u1)
(*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32)))) u1)
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(.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)))
(pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))
(pow.f32 (exp.f32 (log1p.f32 (neg.f32 u1))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(exp.f32 (*.f32 (log1p.f32 (neg.f32 u1)) #s(literal -1/2 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 u1 (-.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 u1 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) u1))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) #s(literal -1 binary32)) u1)
(*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32)))) u1)
(*.f32 (/.f32 u1 #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)
(*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))))
(*.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (neg.f32 u1))
(.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (neg.f32 u1)))
(*.f32 #s(literal -1 binary32) (/.f32 u1 (-.f32 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 u1 #s(literal 1 binary32))))
(/.f32 (*.f32 u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32)))
(/.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))
(/.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 u1 (-.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 u1) (-.f32 u1 #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 (/.f32 #s(literal 0 binary32) (-.f32 u1 #s(literal 1 binary32))) (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))
(-.f32 #s(literal 0 binary32) (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (neg.f32 u1) (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal -1 binary32)))
(fma.f32 (neg.f32 u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 #s(literal -1 binary32) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))
(+.f32 (.f32 (neg.f32 u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 #s(literal -1 binary32) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))))
(+.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (neg.f32 u1)) (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal -1 binary32)))
(neg.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))

eval59.0ms (0.6%)

Memory: 8.2MiB live, 132.7MiB allocated
Compiler: Compiled 13 256 to 2 199 computations (83.4% saved)

prune93.0ms (1%)

Memory

-17.5MiB live, 109.8MiB allocated

Pruning

40 alts after pruning (37 fresh and 3 done)

	Pruned	Kept	Total
New	511	25	536
Fresh	2	12	14
Picked	3	2	5
Done	0	1	1
Total	516	40	556

Accuracy

99.8%

Counts

556 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.4%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
	76.6%	(.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1))) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.0%	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	24.6%	(.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (-.f32 (log1p.f32 u1) (log.f32 u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	6.2%	(.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32)) (neg.f32 (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.1%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	31.2%	(.f32 (sqrt.f32 (/.f32 u1 (.f32 (/.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) (fma.f32 u1 u1 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.8%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	54.2%	(.f32 (sqrt.f32 (.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.3%	(.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.3%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	97.8%	(.f32 (sqrt.f32 u1) (.f32 (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
▶	98.5%	(.f32 (sqrt.f32 u1) (.f32 (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	98.5%	(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
▶	79.3%	(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
	74.4%	(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	96.1%	(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
▶	79.7%	#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)))))
	79.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	79.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
	79.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	79.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
	79.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
	71.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32)))))
	71.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u1) (neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1)))))))
	63.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) #s(literal 1 binary32) #s(literal 1 binary32)))))
	71.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
	79.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
	79.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))))))
✓	79.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	79.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
	71.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (+.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (neg.f32 u1)) (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal -1 binary32)))))
	79.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
	63.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
	63.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 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))))
	63.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 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))))
▶	63.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))

Compiler

Compiled 1 689 to 1 345 computations (20.4% saved)

simplify83.0ms (0.9%)

Memory

4.8MiB live, 40.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f32 (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(.f32 (sqrt.f32 u1) (.f32 (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
cost-diff	64	(*.f32 (-.f32 #s(literal 1 binary32) 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))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #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 #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)))))
cost-diff	768	(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))))
cost-diff	0	(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	#s(approx (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (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) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
cost-diff	0	(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
cost-diff	0	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	290
0	66	290
1	99	290
2	161	282
3	289	282
4	511	282
5	865	282
6	1226	282
7	1631	282
8	1777	282
9	1788	282
10	1811	282
11	1850	282
12	1885	282
13	1933	282
14	1943	282
15	1949	282
16	1949	282
0	1949	276

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize118.0ms (1.3%)

Memory

6.4MiB live, 202.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(.f32 (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy	0.32259750976844204	(.f32 (sqrt.f32 u1) (.f32 (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
accuracy	0.32421875	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy	0.375	(*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))
accuracy	0.33203125	(.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)))
accuracy	2.8303878716191226	#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)))))
accuracy	5.255006788446631	(fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
accuracy	6.356128617016952	(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))))
accuracy	0.140625	(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.16796875	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
accuracy	0.32259750976844204	(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
accuracy	6.4763427249570285	#s(approx (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.0	(sqrt.f32 u1)
accuracy	6.433335715340974	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
accuracy	8.107375808607232	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
accuracy	0.12109375	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy	0.16796875	(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.23046875	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.32421875	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))

Samples

89.0ms

256×

valid

Compiler

Compiled 535 to 83 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 21.0ms (29.3% of total)

ival-pow: 14.0ms (19.5% of total)

const: 13.0ms (18.1% of total)

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

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

ival-cos: 5.0ms (7% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series144.0ms (1.6%)

Memory

13.4MiB live, 325.6MiB allocated

Counts

20 → 122

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
20.0ms	u1	@	-inf	((/ (* (sqrt u1) (cos (* u2 314159265359/50000000000))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* u2 314159265359/50000000000))) (sqrt u1) (cos (* u2 314159265359/50000000000)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (* (sqrt u1) (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000)))) (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (sqrt (/ 1 (- 1 u1))) (+ (* (* (sqrt (/ u1 (- 1 u1))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) -98696044010906577398881/5000000000000000000000)) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) -98696044010906577398881/5000000000000000000000)) (sqrt (/ u1 (- 1 u1))) (* (- 1 u1) (- 1 u1)) (* (sqrt u1) (* (pow (* (- 1 u1) (- 1 u1)) -1/4) (cos (* u2 314159265359/50000000000)))) (* (pow (* (- 1 u1) (- 1 u1)) -1/4) (cos (* u2 314159265359/50000000000))) (* u2 314159265359/50000000000) (sqrt (- 1 u1)) (/ 1 (- 1 u1)) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) -98696044010906577398881/5000000000000000000000))
18.0ms	u1	@	inf	((/ (* (sqrt u1) (cos (* u2 314159265359/50000000000))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* u2 314159265359/50000000000))) (sqrt u1) (cos (* u2 314159265359/50000000000)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (* (sqrt u1) (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000)))) (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (sqrt (/ 1 (- 1 u1))) (+ (* (* (sqrt (/ u1 (- 1 u1))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) -98696044010906577398881/5000000000000000000000)) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) -98696044010906577398881/5000000000000000000000)) (sqrt (/ u1 (- 1 u1))) (* (- 1 u1) (- 1 u1)) (* (sqrt u1) (* (pow (* (- 1 u1) (- 1 u1)) -1/4) (cos (* u2 314159265359/50000000000)))) (* (pow (* (- 1 u1) (- 1 u1)) -1/4) (cos (* u2 314159265359/50000000000))) (* u2 314159265359/50000000000) (sqrt (- 1 u1)) (/ 1 (- 1 u1)) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) -98696044010906577398881/5000000000000000000000))
17.0ms	u1	@	0	((/ (* (sqrt u1) (cos (* u2 314159265359/50000000000))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* u2 314159265359/50000000000))) (sqrt u1) (cos (* u2 314159265359/50000000000)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (* (sqrt u1) (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000)))) (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (sqrt (/ 1 (- 1 u1))) (+ (* (* (sqrt (/ u1 (- 1 u1))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) -98696044010906577398881/5000000000000000000000)) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) -98696044010906577398881/5000000000000000000000)) (sqrt (/ u1 (- 1 u1))) (* (- 1 u1) (- 1 u1)) (* (sqrt u1) (* (pow (* (- 1 u1) (- 1 u1)) -1/4) (cos (* u2 314159265359/50000000000)))) (* (pow (* (- 1 u1) (- 1 u1)) -1/4) (cos (* u2 314159265359/50000000000))) (* u2 314159265359/50000000000) (sqrt (- 1 u1)) (/ 1 (- 1 u1)) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) -98696044010906577398881/5000000000000000000000))
17.0ms	cosTheta_i	@	0	((/ (* (sqrt u1) (cos (* u2 314159265359/50000000000))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* u2 314159265359/50000000000))) (sqrt u1) (cos (* u2 314159265359/50000000000)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (* (sqrt u1) (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000)))) (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (sqrt (/ 1 (- 1 u1))) (+ (* (* (sqrt (/ u1 (- 1 u1))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) -98696044010906577398881/5000000000000000000000)) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) -98696044010906577398881/5000000000000000000000)) (sqrt (/ u1 (- 1 u1))) (* (- 1 u1) (- 1 u1)) (* (sqrt u1) (* (pow (* (- 1 u1) (- 1 u1)) -1/4) (cos (* u2 314159265359/50000000000)))) (* (pow (* (- 1 u1) (- 1 u1)) -1/4) (cos (* u2 314159265359/50000000000))) (* u2 314159265359/50000000000) (sqrt (- 1 u1)) (/ 1 (- 1 u1)) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) -98696044010906577398881/5000000000000000000000))
16.0ms	u2	@	0	((/ (* (sqrt u1) (cos (* u2 314159265359/50000000000))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* u2 314159265359/50000000000))) (sqrt u1) (cos (* u2 314159265359/50000000000)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (* (sqrt u1) (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000)))) (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (sqrt (/ 1 (- 1 u1))) (+ (* (* (sqrt (/ u1 (- 1 u1))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) -98696044010906577398881/5000000000000000000000)) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) -98696044010906577398881/5000000000000000000000)) (sqrt (/ u1 (- 1 u1))) (* (- 1 u1) (- 1 u1)) (* (sqrt u1) (* (pow (* (- 1 u1) (- 1 u1)) -1/4) (cos (* u2 314159265359/50000000000)))) (* (pow (* (- 1 u1) (- 1 u1)) -1/4) (cos (* u2 314159265359/50000000000))) (* u2 314159265359/50000000000) (sqrt (- 1 u1)) (/ 1 (- 1 u1)) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) -98696044010906577398881/5000000000000000000000))

simplify201.0ms (2.2%)

Memory

-15.0MiB live, 226.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	548	3235
1	1677	2818
2	5638	2571
0	8271	2375

Stop Event

1×	iter limit
1×	node limit

Counts

122 → 122

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))))))))))
(cos (* 314159265359/50000000000 u2))
(+ (cos (* 314159265359/50000000000 u2)) (* 1/2 (* u1 (cos (* 314159265359/50000000000 u2)))))
(+ (cos (* 314159265359/50000000000 u2)) (* u1 (+ (* 3/8 (* u1 (cos (* 314159265359/50000000000 u2)))) (* 1/2 (cos (* 314159265359/50000000000 u2))))))
(+ (cos (* 314159265359/50000000000 u2)) (* u1 (+ (* 1/2 (cos (* 314159265359/50000000000 u2))) (* u1 (+ (* 5/16 (* u1 (cos (* 314159265359/50000000000 u2)))) (* 3/8 (cos (* 314159265359/50000000000 u2))))))))
1
(+ 1 (* 1/2 u1))
(+ 1 (* u1 (+ 1/2 (* 3/8 u1))))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 3/8 (* 5/16 u1))))))
(+ (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))))))))
(+ 1 (* -2 u1))
(+ 1 (* u1 (- u1 2)))
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(+ 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))))
(* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))))
(* (sqrt (/ 1 u1)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(+ (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)))))
(pow u1 2)
(* (pow u1 2) (- 1 (* 2 (/ 1 u1))))
(* (pow u1 2) (- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1))))
(* (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 (/ 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)))
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (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)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (* (sqrt -1) (+ 1 (* -1/4 u1))))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sqrt -1) (+ 1 (* -1/4 u1)))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (sqrt -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)))
(* (pow u1 2) (+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1))))
(* -1 (* (sqrt u1) (sqrt -1)))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
(* -1 (/ (+ 1 (+ (/ 1 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)))))))))
(+ (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)))
(sqrt (/ 1 (- 1 u1)))
(+ (sqrt (/ 1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))))
(+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))))))
(+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))))))))
(* -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)
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(* 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 (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 (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 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(fma.f32 (.f32 #s(literal 1/2 binary32) (fma.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)))) u1 (.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 #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))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(+ (cos (* 314159265359/50000000000 u2)) (* 1/2 (* u1 (cos (* 314159265359/50000000000 u2)))))
(.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (cos (* 314159265359/50000000000 u2)) (* u1 (+ (* 3/8 (* u1 (cos (* 314159265359/50000000000 u2)))) (* 1/2 (cos (* 314159265359/50000000000 u2))))))
(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (*.f32 #s(literal 3/8 binary32) u1) u1 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))))
(+ (cos (* 314159265359/50000000000 u2)) (* u1 (+ (* 1/2 (cos (* 314159265359/50000000000 u2))) (* u1 (+ (* 5/16 (* u1 (cos (* 314159265359/50000000000 u2)))) (* 3/8 (cos (* 314159265359/50000000000 u2))))))))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 5/16 binary32) u1 #s(literal 3/8 binary32))) (*.f32 u1 u1)))
1
#s(literal 1 binary32)
(+ 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))
(+ (sqrt u1) (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))
(.f32 (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1))
(+ (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))))))))
(fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (.f32 (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 (fma.f32 (fma.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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rewrite220.0ms (2.4%)

Memory

15.9MiB live, 245.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	231
0	66	220
1	180	212
2	929	204
0	8574	202

Stop Event

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

Counts

20 → 753

Calls

Call 1

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

Outputs
(.f32 (.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u1 #s(literal 1/4 binary32))) (pow.f32 u1 #s(literal 1/4 binary32)))
(.f32 (.f32 #s(literal 1 binary32) (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (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 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.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 (.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)))
(.f32 (.f32 (sqrt.f32 u1) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (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 (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1/2 binary32)))
(.f32 (/.f32 (neg.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 (neg.f32 (sqrt.f32 u1)) #s(literal -1 binary32)) (/.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)) #s(literal -1 binary32)) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (/.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (/.f32 (neg.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (/.f32 (.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) (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 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(.f32 (.f32 (sqrt.f32 u1) (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)) (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 -1/4 binary32))) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (sqrt.f32 u1)))
(.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 (neg.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (neg.f32 (sqrt.f32 u1)) (.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (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)) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
(.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(.f32 #s(literal -1 binary32) (neg.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.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)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) #s(literal -1 binary32)))
(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (/.f32 u1 (-.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)) (sqrt.f32 u1)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (.f32 (sqrt.f32 (neg.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1 binary32)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (.f32 (.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (.f32 (.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #s(literal -1 binary32)) (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 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (.f32 #s(literal 1 binary32) (.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 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) 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 #s(literal -1 binary32) (/.f32 (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(-.f32 #s(literal 0 binary32) (neg.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32))
(exp.f32 (.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(neg.f32 (.f32 #s(literal 1 binary32) (neg.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
(neg.f32 (neg.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.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 u1 #s(literal 1/4 binary32))) (pow.f32 u1 #s(literal 1/4 binary32)))
(.f32 (neg.f32 (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (neg.f32 (neg.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (sqrt.f32 u1))
(.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 (neg.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 u1)))
(.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 #s(literal -1 binary32) (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 #s(literal 1 binary32) (.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(.f32 (.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #s(literal 1 binary32))
(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (neg.f32 (sqrt.f32 u1))))
(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 u1) (neg.f32 (neg.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(-.f32 #s(literal 0 binary32) (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(neg.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.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) #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))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(.f32 (.f32 #s(approx (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (pow.f32 u1 #s(literal 1/4 binary32))) (pow.f32 u1 #s(literal 1/4 binary32)))
(.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(approx (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))))
(.f32 #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))
#s(approx (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/8 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/8 binary32)))
(.f32 (.f32 #s(literal 1 binary32) (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 (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (pow.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)))
(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (sqrt.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))
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(neg.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 binary32))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (-.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/750000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))))))
(neg.f32 (/.f32 (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32)) (fma.f32 #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
(neg.f32 (/.f32 (fma.f32 #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 binary32)) (neg.f32 (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (-.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/750000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)))))))

eval187.0ms (2%)

Memory: -10.8MiB live, 235.0MiB allocated
Compiler: Compiled 32 606 to 3 453 computations (89.4% saved)

prune110.0ms (1.2%)

Memory

-20.5MiB live, 100.0MiB allocated

Pruning

55 alts after pruning (50 fresh and 5 done)

	Pruned	Kept	Total
New	870	31	901
Fresh	13	19	32
Picked	3	2	5
Done	0	3	3
Total	886	55	941

Accuracy

99.8%

Counts

941 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))))
✓	98.6%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	96.3%	(/.f32 (.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
▶	98.8%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
	98.4%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
	98.0%	(.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	98.3%	(.f32 (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
	24.6%	(.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (-.f32 (log1p.f32 u1) (log.f32 u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	6.1%	(.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32)) (neg.f32 (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.1%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.8%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.3%	(.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.8%	(.f32 (sqrt.f32 u1) (.f32 (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	79.1%	(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
	98.5%	(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
	79.2%	(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))))
	63.4%	(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (sqrt.f32 (fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) u1 (.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) #s(literal 1 binary32))))))
	63.4%	(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (sqrt.f32 (fma.f32 u1 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))))))
	19.1%	(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (sqrt.f32 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))))))
	79.2%	(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))))
	71.6%	(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (sqrt.f32 #s(approx (/ 1 (- 1 u1)) (+.f32 #s(literal 1 binary32) u1)))))
▶	74.4%	(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	63.1%	(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) #s(approx (sqrt (/ 1 (- 1 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)))))
	63.1%	(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) #s(approx (sqrt (/ 1 (- 1 u1))) (fma.f32 (fma.f32 #s(literal 3/8 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)))))
	63.1%	(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) #s(approx (sqrt (/ 1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)))))
	79.5%	#s(approx (/ (* (sqrt u1) (cos (* u2 314159265359/50000000000))) (sqrt (- 1 u1))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	79.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	1.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (.f32 (sqrt.f32 (neg.f32 u1)) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	79.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2) u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
	78.9%	#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) (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
	79.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	79.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
	79.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2) u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
	5.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 (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 u2 u2))))
	79.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (fma.f32 (.f32 (.f32 (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1)) (.f32 u2 u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
	79.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (fma.f32 (.f32 (.f32 (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1)) (.f32 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)))
	79.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
▶	74.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
	79.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
	87.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 (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 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	74.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
▶	79.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	79.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
	71.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32)))))
	71.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
	79.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
	79.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))))))
✓	79.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	79.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
	71.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (+.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (neg.f32 u1)) (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal -1 binary32)))))
	79.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
▶	63.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
	62.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (sqrt (/ u1 (- 1 u1))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) -98696044010906577398881/5000000000000000000000)) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1))))
	63.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))))
✓	63.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))

Compiler

Compiled 2 880 to 2 093 computations (27.3% saved)

simplify91.0ms (1%)

Memory

10.4MiB live, 47.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
cost-diff	0	#s(approx (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
cost-diff	0	(fma.f32 (.f32 (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))
cost-diff	0	(.f32 (fma.f32 (.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
cost-diff	896	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
cost-diff	0	(*.f32 u2 u2)
cost-diff	0	(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
cost-diff	0	(.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
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	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
cost-diff	0	(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
cost-diff	0	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
cost-diff	0	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
cost-diff	0	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	336
0	70	328
1	104	328
2	154	328
3	259	328
4	511	328
5	828	328
6	1142	328
7	1325	328
8	1481	328
9	1604	328
10	1684	328
11	1773	328
12	1812	328
13	1816	328
0	1816	328

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize175.0ms (1.9%)

Memory

-0.3MiB live, 117.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.10024132069442182	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.32259750976844204	(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
accuracy	0.32421875	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	7.927799948450488	#s(approx (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.3359375	(.f32 (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2)
accuracy	2.8303878716191226	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
accuracy	5.255006788446631	(fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
accuracy	6.5153996337144795	(fma.f32 (.f32 (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))
accuracy	0.1171875	(.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.17578125	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	3.869850703349261	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
accuracy	6.7677975339737015	(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
accuracy	0.11328125	(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
accuracy	4.25128283966213	#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
accuracy	6.433335715340974	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
accuracy	8.77270803245427	(fma.f32 u1 u1 u1)
accuracy	0.12109375	(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
accuracy	0.13671875	(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
accuracy	0.27734375	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
accuracy	0.32421875	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

129.0ms

256×

valid

Compiler

Compiled 618 to 85 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-add: 31.0ms (27.8% of total)

ival-pow: 30.0ms (26.9% of total)

ival-mult: 19.0ms (17% of total)

const: 11.0ms (9.8% of total)

ival-div: 8.0ms (7.2% of total)

ival-cos: 6.0ms (5.4% of total)

ival-sqrt: 5.0ms (4.5% of total)

ival-sub: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory

29.9MiB live, 29.9MiB allocated

Counts

23 → 119

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	u1	@	inf	((/ (cos (* 314159265359/50000000000 u2)) (sqrt (/ (- 1 u1) u1))) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) (sqrt (/ (- 1 u1) u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt (/ u1 (- 1 u1)))) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (* u2 u2) (/ 1 (/ 1 (* (+ (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (sqrt (/ u1 (- 1 u1)))))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (+ (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (sqrt (/ u1 (- 1 u1)))) (+ (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (* (sqrt u1) (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000)))) (sqrt u1) (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (/ (- 1 u1) u1) (/ u1 (- 1 u1)) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) u2))
3.0ms	u1	@	-inf	((/ (cos (* 314159265359/50000000000 u2)) (sqrt (/ (- 1 u1) u1))) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) (sqrt (/ (- 1 u1) u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt (/ u1 (- 1 u1)))) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (* u2 u2) (/ 1 (/ 1 (* (+ (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (sqrt (/ u1 (- 1 u1)))))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (+ (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (sqrt (/ u1 (- 1 u1)))) (+ (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (* (sqrt u1) (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000)))) (sqrt u1) (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (/ (- 1 u1) u1) (/ u1 (- 1 u1)) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) u2))
3.0ms	u2	@	inf	((/ (cos (* 314159265359/50000000000 u2)) (sqrt (/ (- 1 u1) u1))) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) (sqrt (/ (- 1 u1) u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt (/ u1 (- 1 u1)))) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (* u2 u2) (/ 1 (/ 1 (* (+ (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (sqrt (/ u1 (- 1 u1)))))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (+ (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (sqrt (/ u1 (- 1 u1)))) (+ (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (* (sqrt u1) (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000)))) (sqrt u1) (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (/ (- 1 u1) u1) (/ u1 (- 1 u1)) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) u2))
3.0ms	u1	@	0	((/ (cos (* 314159265359/50000000000 u2)) (sqrt (/ (- 1 u1) u1))) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) (sqrt (/ (- 1 u1) u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt (/ u1 (- 1 u1)))) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (* u2 u2) (/ 1 (/ 1 (* (+ (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (sqrt (/ u1 (- 1 u1)))))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (+ (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (sqrt (/ u1 (- 1 u1)))) (+ (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (* (sqrt u1) (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000)))) (sqrt u1) (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (/ (- 1 u1) u1) (/ u1 (- 1 u1)) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) u2))
3.0ms	u2	@	-inf	((/ (cos (* 314159265359/50000000000 u2)) (sqrt (/ (- 1 u1) u1))) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) (sqrt (/ (- 1 u1) u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt (/ u1 (- 1 u1)))) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (* u2 u2) (/ 1 (/ 1 (* (+ (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (sqrt (/ u1 (- 1 u1)))))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (+ (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (sqrt (/ u1 (- 1 u1)))) (+ (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) u2) u2) 1) (* (sqrt u1) (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000)))) (sqrt u1) (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (/ (- 1 u1) u1) (/ u1 (- 1 u1)) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) u2))

simplify226.0ms (2.5%)

Memory

3.1MiB live, 157.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	477	2831
1	1458	2525
2	5098	2269
0	8032	2105

Stop Event

1×	iter limit
1×	node limit

Counts

119 → 118

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

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

rewrite320.0ms (3.5%)

Memory

-18.9MiB live, 337.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	263
0	70	255
1	207	255
2	1191	253
0	8389	253

Stop Event

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

Counts

23 → 1 097

Calls

Call 1

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

Outputs
(.f32 (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1/2 binary32)))
(.f32 (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32))))
(.f32 (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32))))
(.f32 (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(.f32 (.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(.f32 (neg.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
(.f32 #s(literal -1 binary32) (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1 binary32)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(literal 1 binary32) (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
(-.f32 #s(literal 0 binary32) (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
(pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(literal -1 binary32))
(exp.f32 (.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1 binary32)))
(neg.f32 (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
(.f32 #s(literal -1 binary32) (neg.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 1 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(neg.f32 (neg.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) u1)) (sqrt.f32 (+.f32 #s(literal -1 binary32) u1)))
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal -1 binary32)))
(*.f32 (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (pow.f32 u1 #s(literal -1/2 binary32)))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(*.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
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(/.f32 (-.f32 (.f32 (.f32 u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))) (.f32 u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)))) (.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))) (-.f32 (.f32 u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)))
(/.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 (.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) u2) (.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) u2))) (-.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) (.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)))
(/.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 (.f32 u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))) (.f32 u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))))) (-.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) (.f32 u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) u2) #s(literal 3 binary32)) (.f32 (pow.f32 u2 #s(literal 3 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 binary32))) (fma.f32 (.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) u2) (.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) u2) (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 (.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)))))
(/.f32 (+.f32 (pow.f32 (.f32 u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))) #s(literal 3 binary32)) (.f32 (pow.f32 u2 #s(literal 3 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 binary32))) (fma.f32 (.f32 u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))) (.f32 u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))) (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 (.f32 u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)))))
(/.f32 (fma.f32 (pow.f32 u2 #s(literal 3 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 (.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) u2) #s(literal 3 binary32))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) (-.f32 (.f32 (.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) u2) (.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) u2)) (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) (.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) u2)))))
(/.f32 (fma.f32 (pow.f32 u2 #s(literal 3 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 (.f32 u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))) #s(literal 3 binary32))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) (-.f32 (.f32 (.f32 u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))) (.f32 u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)))) (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) (.f32 u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)))))))
(/.f32 (neg.f32 (.f32 (fma.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)) #s(literal -9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32)) u2)) (neg.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))
(/.f32 (neg.f32 (.f32 (fma.f32 #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 binary32)) u2)) (neg.f32 (fma.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)) (-.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/750000000000000000000000000000000000000000000000000000000000000000 binary32))))))
(/.f32 (neg.f32 (.f32 u2 (fma.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)) #s(literal -9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32)))) (neg.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))
(/.f32 (neg.f32 (.f32 u2 (fma.f32 #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 binary32)))) (neg.f32 (fma.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)) (-.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/750000000000000000000000000000000000000000000000000000000000000000 binary32))))))
(/.f32 (.f32 (fma.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)) #s(literal -9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32)) u2) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))
(/.f32 (.f32 (fma.f32 #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 binary32)) u2) (fma.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)) (-.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/750000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(/.f32 (.f32 u2 (fma.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)) #s(literal -9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)))
(/.f32 (.f32 u2 (fma.f32 #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 binary32))) (fma.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)) (-.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/750000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 (fma.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)) #s(literal -9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32)) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)) (-.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/750000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 (fma.f32 #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 binary32)) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 (fma.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)) #s(literal -9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)) (-.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/750000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 (fma.f32 #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(/.f32 u2 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
(fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) #s(literal 1 binary32) (.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) u2))
(fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) #s(literal 1 binary32) (.f32 u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))))
(fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) u2 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2))
(fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2 (.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2))
(fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2 (.f32 u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(fma.f32 u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2))
(fma.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2))
(fma.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(+.f32 (.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2))
(+.f32 (.f32 u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2))
(+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) (.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) u2))
(+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) (.f32 u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))))

eval205.0ms (2.2%)

Memory: 27.8MiB live, 220.4MiB allocated
Compiler: Compiled 38 819 to 4 409 computations (88.6% saved)

prune121.0ms (1.3%)

Memory

-15.4MiB live, 139.3MiB allocated

Pruning

50 alts after pruning (40 fresh and 10 done)

	Pruned	Kept	Total
New	1 036	17	1 053
Fresh	22	23	45
Picked	0	5	5
Done	0	5	5
Total	1 058	50	1 108

Accuracy

99.9%

Counts

1 108 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))))
✓	98.6%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	96.3%	(/.f32 (.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.2%	(/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal 1 binary32)) (.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))))
	98.5%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)))
✓	98.8%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
	98.6%	(/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (/.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 u1 #s(literal 1 binary32))))))
	74.3%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(approx (/ (- 1 u1) u1) (/.f32 #s(literal 1 binary32) u1))))
	96.3%	(/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (exp.f32 (.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 1/2 binary32))))
	79.4%	(/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
	98.4%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
	98.0%	(.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	98.3%	(.f32 (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
	24.6%	(.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (-.f32 (log1p.f32 u1) (log.f32 u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	6.3%	(.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32)) (neg.f32 (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.1%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.8%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.3%	(.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.8%	(.f32 (sqrt.f32 u1) (.f32 (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	79.1%	(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
	98.5%	(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
	71.6%	(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (sqrt.f32 #s(approx (/ 1 (- 1 u1)) (+.f32 #s(literal 1 binary32) u1)))))
✓	74.4%	(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	63.1%	(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) #s(approx (sqrt (/ 1 (- 1 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)))))
	63.1%	(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) #s(approx (sqrt (/ 1 (- 1 u1))) (fma.f32 (fma.f32 #s(literal 3/8 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)))))
	63.1%	(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) #s(approx (sqrt (/ 1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)))))
	73.0%	(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(approx (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	79.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) 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)))))
	79.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2) u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
	79.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2) u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
	5.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 (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 u2 u2))))
	79.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	79.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (fma.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)))) u2 #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
✓	79.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
	87.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (.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)))))))
	87.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	76.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
✓	79.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	79.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	87.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	5.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 #s(approx (+ ( (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
✓	79.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	79.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
	79.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
✓	63.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
	71.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
	71.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))))
	19.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
	63.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (sqrt (/ u1 (- 1 u1))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) -98696044010906577398881/5000000000000000000000)) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1))))
✓	63.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))

Compiler

Compiled 3 522 to 1 362 computations (61.3% saved)

regimes424.0ms (4.6%)

Memory

-3.4MiB live, 319.5MiB allocated

Counts

93 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) #s(approx (sqrt (/ 1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) 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))))
(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) #s(approx (sqrt (/ 1 (- 1 u1))) (fma.f32 (fma.f32 #s(literal 3/8 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)))))
(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (sqrt.f32 #s(approx (/ 1 (- 1 u1)) (+.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) #s(literal 1 binary32) #s(literal 1 binary32)))))
(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) #s(approx (sqrt (/ 1 (- 1 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)))))
#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 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (sqrt (/ u1 (- 1 u1))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) -98696044010906577398881/5000000000000000000000)) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (.f32 (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 #s(approx (+ ( (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (/ (* (sqrt u1) (cos (* u2 314159265359/50000000000))) (sqrt (- 1 u1))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32) #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 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (+.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (neg.f32 u1)) (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 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))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u1) (neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1)))))))
(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (sqrt.f32 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))))))
(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (sqrt.f32 (fma.f32 u1 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (sqrt.f32 (fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) u1 (.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (.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)))))))
#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))) (+.f32 (.f32 (.f32 (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 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))) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 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 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (fma.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 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))) (fma.f32 (/.f32 (.f32 (sqrt.f32 (neg.f32 u1)) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (-.f32 u1 #s(literal 1 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 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 (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 u2 u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (fma.f32 (.f32 (.f32 (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1)) (.f32 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))) #s(approx (sqrt (/ u1 (- 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))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) 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))) #s(approx (sqrt (/ u1 (- 1 u1))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) 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 u2 u2) (.f32 (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (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))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2) u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#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) (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
(.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (fma.f32 (.f32 (.f32 (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1)) (.f32 u2 u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
(.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 #s(approx (/ (- 1 u1) u1) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (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 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 u1) #s(approx ( (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (.f32 (sqrt.f32 (/.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)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)))
(.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (.f32 (-.f32 u1 #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 u2 #s(literal 314159265359/50000000000 binary32)))) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))))
(/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal 1 binary32)) (.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))))
(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (/.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 u1 #s(literal 1 binary32))))))
(.f32 (sqrt.f32 u1) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (sqrt.f32 u1) (.f32 (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1))) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (.f32 (/.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) (fma.f32 u1 u1 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32)) (neg.f32 (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) #s(approx (* (pow (- 1 u1) -1/2) (cos (* u2 314159265359/50000000000))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 u1) (.f32 (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (exp.f32 (.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 1/2 binary32))))
(/.f32 (.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 (exp.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32))) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (-.f32 (log1p.f32 u1) (log.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:

70.0ms	cosTheta_i
70.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
63.0ms	u1
54.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
51.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

Results

Accuracy	Segments	Branch
99.1%	1	`cosTheta_i`
99.1%	1	`u1`
99.1%	1	`u2`
99.1%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
99.1%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
99.1%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
99.1%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
99.1%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes208.0ms (2.3%)

Memory

-3.9MiB live, 240.5MiB allocated

Counts

60 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

47.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
35.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
32.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
30.0ms	u2
17.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
87.6%	1	`cosTheta_i`
95.7%	2	`u1`
96.6%	2	`u2`
96.5%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
95.7%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
95.7%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
96.6%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
96.6%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes117.0ms (1.3%)

Memory

-18.5MiB live, 254.2MiB allocated

Counts

58 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

24.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
16.0ms	u2
16.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
15.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
15.0ms	u1

Results

Accuracy	Segments	Branch
91.6%	2	`u1`
91.6%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
91.6%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
93.0%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
94.2%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
94.3%	2	`u2`
94.3%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 31 to 41 computations (-32.3% saved)

regimes116.0ms (1.3%)

Memory

-4.5MiB live, 274.9MiB allocated

Counts

55 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
87.6%	1	`cosTheta_i`
87.6%	1	`u1`
87.6%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
87.6%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
87.6%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
87.6%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
87.6%	1	`u2`
87.6%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes237.0ms (2.6%)

Memory

-6.3MiB live, 192.9MiB allocated

Counts

35 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

108.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
45.0ms	u2
36.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
11.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
10.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
87.5%	1	`cosTheta_i`
87.5%	1	`u1`
87.5%	1	`u2`
87.5%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
87.5%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
87.5%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
87.5%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
87.5%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes59.0ms (0.6%)

Memory

16.6MiB live, 98.5MiB allocated

Counts

24 → 1

Calls

Call 1

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

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

Calls

8 calls:

11.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
9.0ms	u1
7.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
6.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
6.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

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

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes23.0ms (0.3%)

Memory

-3.9MiB live, 34.1MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

8 calls:

7.0ms	u1
2.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
2.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
71.8%	1	`u2`
71.8%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
71.8%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
71.8%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
71.8%	1	`cosTheta_i`
71.8%	1	`u1`
71.8%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
71.8%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes16.0ms (0.2%)

Memory

-13.0MiB live, 24.7MiB allocated

Accuracy

Total -14.1b remaining (-119.6%)

Threshold costs -14.1b (-119.6%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
63.1%	1	`u2`
63.1%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
63.1%	1	`cosTheta_i`
63.1%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
63.1%	1	`u1`
63.1%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
63.1%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
63.1%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.13142409920692444	0.14789867401123047

Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.1995566338300705	0.19967985153198242

Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify87.0ms (0.9%)

Memory

7.8MiB live, 45.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	237
1	61	237
2	70	237
3	82	237
4	98	237
5	117	237
6	179	237
7	324	237
8	4018	237
9	6287	237

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 9395241/67108864 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13394929/67108864 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (+.f32 (.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 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))

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 9395241/67108864 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13394929/67108864 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (+.f32 (.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 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))

soundness863.0ms (9.4%)

Memory

27.9MiB live, 662.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	499	2665
1	1475	2406
2	4467	2132
0	8176	2003
0	180	750
1	523	661
2	1559	593
3	4816	545
0	8111	519
0	43	263
0	70	255
1	207	255
2	1191	253
0	8389	253
0	10	28
0	16	28
1	46	28
2	237	28
3	1954	28
0	9734	28

Stop Event

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

Compiler

Compiled 404 to 212 computations (47.5% saved)

preprocess57.0ms (0.6%)

Memory

-13.9MiB live, 65.1MiB allocated

Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 584 to 216 computations (63% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	36	106
1	78	104
2	128	104
3	215	102
4	369	102
5	621	102
6	781	102
7	877	102
8	916	102
9	936	102
10	940	102
0	10	11
0	16	11
1	22	11
2	26	11
3	31	11
4	38	11
5	48	11
6	63	11
7	86	11
8	108	11
9	116	11
10	118	11
0	118	11

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

Iter	Nodes	Cost
0	36	106
1	78	104
2	128	104
3	215	102
4	369	102
5	621	102
6	781	102
7	877	102
8	916	102
9	936	102
10	940	102
0	10	11
0	16	11
1	22	11
2	26	11
3	31	11
4	38	11
5	48	11
6	63	11
7	86	11
8	108	11
9	116	11
10	118	11
0	118	11

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

start0.0ms (0%)

analyze623.0ms (6.8%)

sample2.1s (23.3%)

explain156.0ms (1.7%)

preprocess39.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize36.0ms (0.4%)

series8.0ms (0.1%)

simplify192.0ms (2.1%)

rewrite163.0ms (1.8%)

eval78.0ms (0.8%)

prune42.0ms (0.5%)

simplify143.0ms (1.6%)

localize216.0ms (2.3%)

series471.0ms (5.1%)

simplify256.0ms (2.8%)

rewrite63.0ms (0.7%)

eval59.0ms (0.6%)

prune93.0ms (1%)

simplify83.0ms (0.9%)

localize118.0ms (1.3%)

series144.0ms (1.6%)

simplify201.0ms (2.2%)

rewrite220.0ms (2.4%)

eval187.0ms (2%)

prune110.0ms (1.2%)

simplify91.0ms (1%)

localize175.0ms (1.9%)

series21.0ms (0.2%)

simplify226.0ms (2.5%)

rewrite320.0ms (3.5%)

eval205.0ms (2.2%)

prune121.0ms (1.3%)

regimes424.0ms (4.6%)

regimes208.0ms (2.3%)

regimes117.0ms (1.3%)

regimes116.0ms (1.3%)

regimes237.0ms (2.6%)

regimes59.0ms (0.6%)

regimes23.0ms (0.3%)

regimes16.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify87.0ms (0.9%)

soundness863.0ms (9.4%)

preprocess57.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	36	106
1	78	104
2	128	104
3	215	102
4	369	102
5	621	102
6	781	102
7	877	102
8	916	102
9	936	102
10	940	102
0	10	11
0	16	11
1	22	11
2	26	11
3	31	11
4	38	11
5	48	11
6	63	11
7	86	11
8	108	11
9	116	11
10	118	11
0	118	11

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