Metrics for Trowbridge-Reitz Sample, near normal, slope

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze312.0ms (3.5%)

Memory

5.5MiB live, 487.9MiB 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)

sample2.5s (28.2%)

Memory

-126.0MiB live, 2 287.9MiB allocated

Samples

2.0s	8 256×	0	valid
1.0ms	6×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

const: 550.0ms (42.6% of total)

ival-<=: 208.0ms (16.1% of total)

ival-cos: 152.0ms (11.8% of total)

ival-mult: 107.0ms (8.3% of total)

ival-div: 84.0ms (6.5% of total)

ival-sqrt: 63.0ms (4.9% of total)

ival-sub: 61.0ms (4.7% of total)

ival-and: 32.0ms (2.5% of total)

ival->: 26.0ms (2% of total)

exact: 5.0ms (0.4% of total)

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

Bogosity

explain229.0ms (2.6%)

Memory

-13.7MiB live, 143.4MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f32`	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`	sensitivity	1	2

Confusion

	Predicted +	Predicted -
+	1	2
-	0	253

Precision

1.0

Recall

0.3333333333333333

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	2	0
-	0	0	253

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

81.0ms

512×

valid

Compiler

Compiled 123 to 48 computations (61% saved)

Precisions

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

ival-mult: 40.0ms (61.7% of total)

const: 8.0ms (12.3% of total)

ival-cos: 6.0ms (9.3% of total)

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

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

ival-sub: 3.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

preprocess35.0ms (0.4%)

Memory

9.1MiB live, 47.8MiB 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	361	102
5	611	102
6	775	102
7	871	102
8	910	102
9	930	102
10	934	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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(.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

11.4MiB live, 11.4MiB 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

localize34.0ms (0.4%)

Memory

-2.0MiB live, 72.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.10954703849955791	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.14453125	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.18359375	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.34765625	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

25.0ms

256×

valid

Compiler

Compiled 74 to 24 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

const: 4.0ms (24.8% of total)

ival-mult: 3.0ms (18.6% of total)

ival-cos: 3.0ms (18.6% of total)

ival-div: 2.0ms (12.4% of total)

ival-sqrt: 2.0ms (12.4% of total)

ival-sub: 1.0ms (6.2% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory

-21.8MiB live, 20.3MiB allocated

Counts

6 → 46

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)
(cos.f32 (*.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)
(+ 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 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(cos (* 314159265359/50000000000 u2))

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	u1	@	-inf	((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2) (cos (* 314159265359/50000000000 u2)))
2.0ms	u1	@	inf	((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2) (cos (* 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) (cos (* 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) (cos (* 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) (cos (* 314159265359/50000000000 u2)))

simplify246.0ms (2.8%)

Memory

7.7MiB live, 277.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	793
1	554	704
2	1625	636
3	4918	584
0	8208	552

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 45

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

rewrite184.0ms (2.1%)

Memory

-20.5MiB live, 237.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 521

Calls

Call 1

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

eval62.0ms (0.7%)

Memory: 25.6MiB live, 143.0MiB allocated
Compiler: Compiled 14 558 to 2 558 computations (82.4% saved)

prune30.0ms (0.3%)

Memory

5.0MiB live, 82.1MiB allocated

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	540	24	564
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	540	25	565

Accuracy

99.6%

Counts

565 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.3%	(/.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))))))
	98.1%	(.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)))
▶	98.4%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	55.8%	(.f32 (.f32 (pow.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.7%	(.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)))
	98.3%	(.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)))
	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)))
	7.2%	(.f32 (sqrt.f32 (/.f32 (+.f32 (pow.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) #s(literal 3 binary32)) (pow.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32))) (fma.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (-.f32 (.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32)) (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32))) (.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32))))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.6%	(.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)))
▶	98.6%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (.f32 u1 u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	80.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (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))))
	80.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
	33.7%	(.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)))
▶	98.7%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	82.9%	(.f32 (sqrt.f32 (-.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	66.0%	(.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.7%	(.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)))
▶	55.2%	(.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)))
	98.1%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	98.3%	(.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)))))
	66.2%	(.f32 (exp.f32 (.f32 (-.f32 (log1p.f32 u1) (log.f32 u1)) #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.9%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	80.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))

Compiler

Compiled 949 to 711 computations (25.1% saved)

simplify205.0ms (2.3%)

Memory

-25.6MiB live, 130.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(.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)))
cost-diff	6400	(exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
cost-diff	0	(sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (*.f32 u1 u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (.f32 u1 u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (/.f32 #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	1056	(-.f32 (/.f32 (*.f32 u1 u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))
cost-diff	0	(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	0	(-.f32 #s(literal 1 binary32) u1)
cost-diff	0	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
cost-diff	0	(sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	352	(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	310
0	72	264
1	101	256
2	138	253
3	206	245
4	334	245
5	731	245
6	1484	245
7	1819	245
8	2224	245
9	2910	245
10	3811	245
11	5406	245
12	6863	245
13	7983	245
0	8076	245

Stop Event

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

Calls

Call 1

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

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

localize176.0ms (2%)

Memory

24.8MiB live, 306.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.171875	(*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1))
accuracy	0.3125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	1.6800835419562152	(exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
accuracy	27.768126240195127	(fma.f32 u1 u1 #s(literal 1 binary32))
accuracy	0.1796875	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (.f32 u1 u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.3125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.37794877930532605	(/.f32 (*.f32 u1 u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
accuracy	0.41015625	(/.f32 #s(literal 1 binary32) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
accuracy	0.12890625	(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.1796875	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.2578125	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.3125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0	(-.f32 #s(literal 1 binary32) u1)
accuracy	0.0859375	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.125	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	6.013202136955156	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.15625	(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
accuracy	0.1796875	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.26171875	(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
accuracy	0.3125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

109.0ms	246×	0	valid
10.0ms	10×	5	exit

Compiler

Compiled 622 to 84 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-mult: 39.0ms (39.5% of total)

ival-div: 21.0ms (21.3% of total)

ival-sqrt: 16.0ms (16.2% of total)

ival-sub: 5.0ms (5.1% of total)

const: 4.0ms (4% of total)

ival-exp: 3.0ms (3% of total)

ival-cos: 3.0ms (3% of total)

ival-log: 3.0ms (3% of total)

adjust: 2.0ms (2% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series34.0ms (0.4%)

Memory

-9.9MiB live, 64.8MiB allocated

Counts

24 → 141

Calls

Call 1

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

Outputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* (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)))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
(/ -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))))))))))
1
(+ 1 (* -1 u1))
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
-1
(- (* -1 u1) 1)
(* u1 (+ 1 (* -1 (pow u1 2))))
(* u1 (+ 1 (* (pow u1 2) (- (pow u1 2) 1))))
(* u1 (+ 1 (* (pow u1 2) (- (* (pow u1 2) (+ 1 (* -1 (pow u1 2)))) 1))))
(+ (* -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 (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 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 (+ 1 (* -1 u1)))
(* u1 (+ 1 (* u1 (- (* -1 u1) 1))))
(* u1 (+ 1 (* u1 (- (* u1 (- u1 1)) 1))))
(- u1 1)
(- (* u1 (+ 1 (* -1 u1))) 1)
(- (* u1 (+ 1 (* u1 (- u1 1)))) 1)
(* -1 (pow u1 2))
(* (pow u1 2) (- u1 1))
(* (pow u1 2) (- (* u1 (+ 1 (* -1 u1))) 1))
(* (pow u1 2) (- (* u1 (+ 1 (* u1 (- u1 1)))) 1))
(+ 1 (pow u1 2))
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (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)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
(- 1 (/ 1 u1))
(+ (* -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) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* (sqrt u1) (sqrt -1))
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(* -1 (* u1 (+ 1 (/ 1 u1))))
(/ 1 u1)
(/ (- 1 (/ 1 (pow u1 2))) u1)
(/ (- (+ 1 (/ 1 (pow u1 4))) (/ 1 (pow u1 2))) u1)
(/ (- (+ 1 (/ 1 (pow u1 4))) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 6)))) u1)
(+ (* 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)) (+ 1 (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (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)))))
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+ (sqrt -1) (+ (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (/ 1/2 (* u1 (sqrt -1)))))
(+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (+ (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (/ 1/2 (* u1 (sqrt -1))))))
(- (/ 1 u1) 1)
(- (+ (/ 1 u1) (/ 1 (pow u1 2))) 1)
(- (+ (/ 1 u1) (/ 1 (pow u1 2))) (+ 1 (/ 1 (pow u1 3))))
(/ (- (/ 1 u1) 1) u1)
(/ (- (/ 1 u1) (+ 1 (/ 1 (pow u1 2)))) u1)
(/ (- (+ (/ 1 u1) (/ 1 (pow u1 3))) (+ 1 (/ 1 (pow u1 2)))) u1)
(* u1 (- (/ 1 u1) (+ 1 (/ 1 (pow u1 2)))))
(* u1 (- (+ (/ 1 u1) (/ 1 (pow u1 3))) (+ 1 (/ 1 (pow u1 2)))))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 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 (/ (+ (* -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 (* u1 (- 1 (/ 1 u1))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -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 (pow u1 2)) 1) u1))
(* -1 (/ (- (/ 1 (pow u1 2)) (+ 1 (/ 1 (pow u1 4)))) u1))
(* -1 (/ (- (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 6))) (+ 1 (/ 1 (pow u1 4)))) 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))) (* 5/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -5/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 3/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) 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)) (* 5/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -5/8 (sqrt -1)) (* 3/16 (/ (sqrt -1) u1))) u1)) (* 1/2 (sqrt -1))) u1)))
(- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 u1)) u1)) 1) u1)) 1)
(* -1 (/ (- 1 (/ 1 u1)) u1))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1))) u1))
(* -1 (* u1 (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))))
(* -1 (* u1 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))))
(* (sqrt (/ u1 (- u1 1))) (sqrt -1))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))
(+ (* (sqrt (/ u1 (- u1 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))))))
(+ (* (sqrt (/ u1 (- u1 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (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)))))))))
(sqrt (/ u1 (+ (* -1 (/ (pow u1 2) (+ 1 u1))) (/ 1 (+ 1 u1)))))
(+ (sqrt (/ u1 (+ (* -1 (/ (pow u1 2) (+ 1 u1))) (/ 1 (+ 1 u1))))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (+ (* -1 (/ (pow u1 2) (+ 1 u1))) (/ 1 (+ 1 u1))))) (pow u2 2))))
(+ (sqrt (/ u1 (+ (* -1 (/ (pow u1 2) (+ 1 u1))) (/ 1 (+ 1 u1))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (+ (* -1 (/ (pow u1 2) (+ 1 u1))) (/ 1 (+ 1 u1)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ (* -1 (/ (pow u1 2) (+ 1 u1))) (/ 1 (+ 1 u1))))) (pow u2 2))))))
(+ (sqrt (/ u1 (+ (* -1 (/ (pow u1 2) (+ 1 u1))) (/ 1 (+ 1 u1))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (+ (* -1 (/ (pow u1 2) (+ 1 u1))) (/ 1 (+ 1 u1)))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ (* -1 (/ (pow u1 2) (+ 1 u1))) (/ 1 (+ 1 u1))))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (+ (* -1 (/ (pow u1 2) (+ 1 u1))) (/ 1 (+ 1 u1)))))))))))
(sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2))))
(+ (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (pow u2 2))))
(+ (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (pow u2 2))))))
(+ (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2))))))))))
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (+ (* -1 (/ (pow u1 2) (+ 1 u1))) (/ 1 (+ 1 u1))))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (cos (* 314159265359/50000000000 u2)))

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	u1	@	0	((/ -1 (/ (- u1 1) u1)) (* (sqrt (/ -1 (/ (- u1 1) u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (- (/ (* u1 u1) (- (neg u1) 1)) (/ 1 (- (neg u1) 1))) (- (neg u1) 1) (* (sqrt (/ u1 (- (/ (* u1 u1) (- (neg u1) 1)) (/ 1 (- (neg u1) 1))))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- (/ (* u1 u1) (- (neg u1) 1)) (/ 1 (- (neg u1) 1))))) (exp (log (/ u1 (+ (* u1 u1) 1)))) (* (sqrt (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1))) (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1)) (* 314159265359/50000000000 u2) (/ 1 (- (neg u1) 1)) (/ (* u1 u1) (- (neg u1) 1)) (+ (* u1 u1) 1))
6.0ms	u2	@	inf	((/ -1 (/ (- u1 1) u1)) (* (sqrt (/ -1 (/ (- u1 1) u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (- (/ (* u1 u1) (- (neg u1) 1)) (/ 1 (- (neg u1) 1))) (- (neg u1) 1) (* (sqrt (/ u1 (- (/ (* u1 u1) (- (neg u1) 1)) (/ 1 (- (neg u1) 1))))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- (/ (* u1 u1) (- (neg u1) 1)) (/ 1 (- (neg u1) 1))))) (exp (log (/ u1 (+ (* u1 u1) 1)))) (* (sqrt (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1))) (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1)) (* 314159265359/50000000000 u2) (/ 1 (- (neg u1) 1)) (/ (* u1 u1) (- (neg u1) 1)) (+ (* u1 u1) 1))
5.0ms	u2	@	0	((/ -1 (/ (- u1 1) u1)) (* (sqrt (/ -1 (/ (- u1 1) u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (- (/ (* u1 u1) (- (neg u1) 1)) (/ 1 (- (neg u1) 1))) (- (neg u1) 1) (* (sqrt (/ u1 (- (/ (* u1 u1) (- (neg u1) 1)) (/ 1 (- (neg u1) 1))))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- (/ (* u1 u1) (- (neg u1) 1)) (/ 1 (- (neg u1) 1))))) (exp (log (/ u1 (+ (* u1 u1) 1)))) (* (sqrt (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1))) (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1)) (* 314159265359/50000000000 u2) (/ 1 (- (neg u1) 1)) (/ (* u1 u1) (- (neg u1) 1)) (+ (* u1 u1) 1))
4.0ms	u1	@	inf	((/ -1 (/ (- u1 1) u1)) (* (sqrt (/ -1 (/ (- u1 1) u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (- (/ (* u1 u1) (- (neg u1) 1)) (/ 1 (- (neg u1) 1))) (- (neg u1) 1) (* (sqrt (/ u1 (- (/ (* u1 u1) (- (neg u1) 1)) (/ 1 (- (neg u1) 1))))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- (/ (* u1 u1) (- (neg u1) 1)) (/ 1 (- (neg u1) 1))))) (exp (log (/ u1 (+ (* u1 u1) 1)))) (* (sqrt (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1))) (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1)) (* 314159265359/50000000000 u2) (/ 1 (- (neg u1) 1)) (/ (* u1 u1) (- (neg u1) 1)) (+ (* u1 u1) 1))
4.0ms	u2	@	-inf	((/ -1 (/ (- u1 1) u1)) (* (sqrt (/ -1 (/ (- u1 1) u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (/ (- u1 1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (- (/ (* u1 u1) (- (neg u1) 1)) (/ 1 (- (neg u1) 1))) (- (neg u1) 1) (* (sqrt (/ u1 (- (/ (* u1 u1) (- (neg u1) 1)) (/ 1 (- (neg u1) 1))))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- (/ (* u1 u1) (- (neg u1) 1)) (/ 1 (- (neg u1) 1))))) (exp (log (/ u1 (+ (* u1 u1) 1)))) (* (sqrt (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1))) (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1)) (* 314159265359/50000000000 u2) (/ 1 (- (neg u1) 1)) (/ (* u1 u1) (- (neg u1) 1)) (+ (* u1 u1) 1))

simplify175.0ms (2%)

Memory

-0.2MiB live, 272.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	517	2887
1	1556	2605
2	4895	2338
0	8213	2214

Stop Event

1×	iter limit
1×	node limit

Counts

141 → 140

Calls

Call 1

Inputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (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)))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
(/ -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))))))))))
1
(+ 1 (* -1 u1))
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
-1
(- (* -1 u1) 1)
(* u1 (+ 1 (* -1 (pow u1 2))))
(* u1 (+ 1 (* (pow u1 2) (- (pow u1 2) 1))))
(* u1 (+ 1 (* (pow u1 2) (- (* (pow u1 2) (+ 1 (* -1 (pow u1 2)))) 1))))
(+ (* -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 (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 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 (+ 1 (* -1 u1)))
(* u1 (+ 1 (* u1 (- (* -1 u1) 1))))
(* u1 (+ 1 (* u1 (- (* u1 (- u1 1)) 1))))
(- u1 1)
(- (* u1 (+ 1 (* -1 u1))) 1)
(- (* u1 (+ 1 (* u1 (- u1 1)))) 1)
(* -1 (pow u1 2))
(* (pow u1 2) (- u1 1))
(* (pow u1 2) (- (* u1 (+ 1 (* -1 u1))) 1))
(* (pow u1 2) (- (* u1 (+ 1 (* u1 (- u1 1)))) 1))
(+ 1 (pow u1 2))
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (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)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
(- 1 (/ 1 u1))
(+ (* -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) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* (sqrt u1) (sqrt -1))
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(* -1 (* u1 (+ 1 (/ 1 u1))))
(/ 1 u1)
(/ (- 1 (/ 1 (pow u1 2))) u1)
(/ (- (+ 1 (/ 1 (pow u1 4))) (/ 1 (pow u1 2))) u1)
(/ (- (+ 1 (/ 1 (pow u1 4))) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 6)))) u1)
(+ (* 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)) (+ 1 (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (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)))))
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+ (sqrt -1) (+ (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (/ 1/2 (* u1 (sqrt -1)))))
(+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (+ (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (/ 1/2 (* u1 (sqrt -1))))))
(- (/ 1 u1) 1)
(- (+ (/ 1 u1) (/ 1 (pow u1 2))) 1)
(- (+ (/ 1 u1) (/ 1 (pow u1 2))) (+ 1 (/ 1 (pow u1 3))))
(/ (- (/ 1 u1) 1) u1)
(/ (- (/ 1 u1) (+ 1 (/ 1 (pow u1 2)))) u1)
(/ (- (+ (/ 1 u1) (/ 1 (pow u1 3))) (+ 1 (/ 1 (pow u1 2)))) u1)
(* u1 (- (/ 1 u1) (+ 1 (/ 1 (pow u1 2)))))
(* u1 (- (+ (/ 1 u1) (/ 1 (pow u1 3))) (+ 1 (/ 1 (pow u1 2)))))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 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 (/ (+ (* -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 (* u1 (- 1 (/ 1 u1))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -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 (pow u1 2)) 1) u1))
(* -1 (/ (- (/ 1 (pow u1 2)) (+ 1 (/ 1 (pow u1 4)))) u1))
(* -1 (/ (- (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 6))) (+ 1 (/ 1 (pow u1 4)))) 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))) (* 5/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -5/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 3/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) 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)) (* 5/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -5/8 (sqrt -1)) (* 3/16 (/ (sqrt -1) u1))) u1)) (* 1/2 (sqrt -1))) u1)))
(- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 u1)) u1)) 1) u1)) 1)
(* -1 (/ (- 1 (/ 1 u1)) u1))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1))) u1))
(* -1 (* u1 (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))))
(* -1 (* u1 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))))
(* (sqrt (/ u1 (- u1 1))) (sqrt -1))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))
(+ (* (sqrt (/ u1 (- u1 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))))))
(+ (* (sqrt (/ u1 (- u1 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (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)))))))))
(sqrt (/ u1 (+ (* -1 (/ (pow u1 2) (+ 1 u1))) (/ 1 (+ 1 u1)))))
(+ (sqrt (/ u1 (+ (* -1 (/ (pow u1 2) (+ 1 u1))) (/ 1 (+ 1 u1))))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (+ (* -1 (/ (pow u1 2) (+ 1 u1))) (/ 1 (+ 1 u1))))) (pow u2 2))))
(+ (sqrt (/ u1 (+ (* -1 (/ (pow u1 2) (+ 1 u1))) (/ 1 (+ 1 u1))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (+ (* -1 (/ (pow u1 2) (+ 1 u1))) (/ 1 (+ 1 u1)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ (* -1 (/ (pow u1 2) (+ 1 u1))) (/ 1 (+ 1 u1))))) (pow u2 2))))))
(+ (sqrt (/ u1 (+ (* -1 (/ (pow u1 2) (+ 1 u1))) (/ 1 (+ 1 u1))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (+ (* -1 (/ (pow u1 2) (+ 1 u1))) (/ 1 (+ 1 u1)))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (+ (* -1 (/ (pow u1 2) (+ 1 u1))) (/ 1 (+ 1 u1))))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (+ (* -1 (/ (pow u1 2) (+ 1 u1))) (/ 1 (+ 1 u1)))))))))))
(sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2))))
(+ (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (pow u2 2))))
(+ (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (pow u2 2))))))
(+ (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2))))))))))
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (+ (* -1 (/ (pow u1 2) (+ 1 u1))) (/ 1 (+ 1 u1))))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (- 1 u1)) (+ 1 (pow u1 2)))) (cos (* 314159265359/50000000000 u2)))

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

rewrite242.0ms (2.7%)

Memory

19.5MiB live, 421.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	222
0	72	188
1	225	170
2	1701	169
0	8579	169

Stop Event

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

Counts

24 → 1 438

Calls

Call 1

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

Outputs
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1 binary32)) (/.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.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)) (/.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1)))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)))) #s(literal 1 binary32)) (/.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal -1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32)))) #s(literal 1 binary32)) (/.f32 (fma.f32 (pow.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) #s(literal -2 binary32)) (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (pow.f32 (/.f32 u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32))) #s(literal 2 binary32)) (pow.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) u1)))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32)) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (neg.f32 u1) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))))
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(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))
(pow.f32 (/.f32 (*.f32 (pow.f32 u1 #s(literal -2 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (*.f32 (pow.f32 u1 #s(literal -2 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) #s(literal -1 binary32))
(exp.f32 (.f32 (log.f32 (.f32 (pow.f32 u1 #s(literal -2 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) #s(literal -1 binary32)))
(exp.f32 (-.f32 (log.f32 (*.f32 (neg.f32 u1) u1)) (log1p.f32 u1)))
(neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) u1))
(*.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))))
(.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 u1 u1))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1)))))
(/.f32 (-.f32 (.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)))) (exp.f32 (log.f32 (fma.f32 u1 u1 #s(literal -1 binary32)))))
(/.f32 (exp.f32 (log1p.f32 (pow.f32 u1 #s(literal 6 binary32)))) (exp.f32 (log.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(/.f32 (neg.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32))))
(/.f32 (neg.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 u1 u1)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1))))
(/.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))
(/.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 u1 u1))))
(/.f32 (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1)) (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1)) (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))
(-.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))))
(fma.f32 (*.f32 (neg.f32 u1) #s(literal -1 binary32)) u1 #s(literal 1 binary32))
(fma.f32 (neg.f32 u1) (neg.f32 u1) #s(literal 1 binary32))
(fma.f32 (*.f32 u1 u1) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 u1 u1) #s(literal 1 binary32))
(fma.f32 u1 u1 #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (*.f32 (neg.f32 u1) u1) #s(literal 1 binary32))
(pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 u1 u1)) (+.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32))
(+.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(exp.f32 (log1p.f32 (*.f32 u1 u1)))

eval199.0ms (2.2%)

Memory: 21.9MiB live, 528.8MiB allocated
Compiler: Compiled 48 621 to 7 149 computations (85.3% saved)

prune118.0ms (1.3%)

Memory

-2.6MiB live, 198.8MiB allocated

Pruning

37 alts after pruning (33 fresh and 4 done)

	Pruned	Kept	Total
New	1 597	20	1 617
Fresh	6	13	19
Picked	2	3	5
Done	0	1	1
Total	1 605	37	1 642

Accuracy

99.7%

Counts

1 642 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
▶	98.3%	(/.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))))))
	98.1%	(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 u1 #s(literal -1/2 binary32))))
	97.9%	(.f32 (/.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	72.5%	(.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.3%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 (-.f32 (.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (.f32 u1 u1)) (pow.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) (pow.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 3 binary32))) (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.4%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	97.7%	(.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)))
	6.5%	(.f32 (sqrt.f32 (/.f32 (+.f32 (pow.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) #s(literal 3 binary32)) (pow.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32))) (fma.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (-.f32 (.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32)) (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32))) (.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32))))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.6%	(.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)))
	84.6%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (.f32 u1 u1) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1))))) (/.f32 #s(literal 1 binary32) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	93.5%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(approx (/ ( u1 u1) (- (neg u1) 1)) (.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) u1) u1)) (/.f32 #s(literal 1 binary32) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	80.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (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))))
	80.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
	32.8%	(.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)))
	98.5%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 u1 u1) u1) (.f32 u1 u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.7%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	66.7%	(.f32 (sqrt.f32 (/.f32 #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)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.6%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.2%	(.f32 (sqrt.f32 (-.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	67.3%	(.f32 (sqrt.f32 (+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.6%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.7%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	47.2%	(.f32 (sqrt.f32 #s(approx (/ -1 (/ (- u1 1) u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	98.3%	(.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)))))
	74.9%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	63.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32)))))
▶	72.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
	72.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
	80.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))))
	80.0%	#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)))))))
✓	80.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
▶	63.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
	62.0%	#s(approx (* (sqrt (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))

Compiler

Compiled 1 574 to 1 142 computations (27.4% saved)

simplify110.0ms (1.2%)

Memory

-7.2MiB live, 146.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	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)))
cost-diff	1568	(*.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)))))
cost-diff	0	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
cost-diff	0	(-.f32 #s(literal 1 binary32) u1)
cost-diff	0	(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff	544	(/.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))))))
cost-diff	64	(-.f32 (neg.f32 u1) #s(literal 1 binary32))
cost-diff	96	(fma.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
cost-diff	192	(/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))
cost-diff	448	(/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (.f32 (-.f32 (neg.f32 u1) #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	(/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))
cost-diff	0	(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1))
cost-diff	0	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	160	(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	334
0	74	317
1	122	317
2	237	304
3	565	292
4	1894	260
5	6033	260
0	8142	254

Stop Event

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

Calls

Call 1

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

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

localize133.0ms (1.5%)

Memory

0.7MiB live, 255.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.14453125	(sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.18359375	(.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)))
accuracy	0.34765625	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.4811325195368841	(*.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)))))
accuracy	0.14291000976844204	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy	0.265625	(/.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))))))
accuracy	0.28125	(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
accuracy	0.34765625	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy	0.4537887695368841	(*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))
accuracy	0.4596863281475362	(/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))
accuracy	4.069769212110181	(fma.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))
accuracy	6.272155088209783	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
accuracy	0	(sqrt.f32 u1)
accuracy	6.272155088209783	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
accuracy	7.961517768728238	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
accuracy	0.12890625	(/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))
accuracy	0.18359375	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.2734375	(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)
accuracy	0.34765625	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

103.0ms	246×	0	valid
4.0ms	10×	1	valid

Compiler

Compiled 637 to 85 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-sqrt: 27.0ms (36.3% of total)

ival-mult: 18.0ms (24.2% of total)

ival-div: 12.0ms (16.1% of total)

ival-cos: 6.0ms (8.1% of total)

ival-sub: 4.0ms (5.4% of total)

const: 4.0ms (5.4% of total)

ival-add: 3.0ms (4% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory

-25.5MiB live, 49.9MiB allocated

Counts

24 → 128

Calls

Call 1

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

Outputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* (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)))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
1
(+ 1 u1)
(+ 1 (* u1 (+ 1 u1)))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(+ 1 (* -1 u1))
-1
(- (* -1 u1) 1)
(- (* u1 (- u1 1)) 1)
(- (* u1 (- (* u1 (+ 1 u1)) 1)) 1)
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(pow (* 1 u1) 1/4)
(+ (* 1/4 (pow (* 1 (pow u1 5)) 1/4)) (pow (* 1 u1) 1/4))
(+ (* u1 (+ (* 5/32 (pow (* 1 (pow u1 5)) 1/4)) (* 1/4 (pow (* 1 u1) 1/4)))) (pow (* 1 u1) 1/4))
(+ (* u1 (+ (* 1/4 (pow (* 1 u1) 1/4)) (* u1 (+ (* 15/128 (pow (* 1 (pow u1 5)) 1/4)) (* 5/32 (pow (* 1 u1) 1/4)))))) (pow (* 1 u1) 1/4))
(- (* -2 u1) 1)
(- (* u1 (- (* -1 u1) 2)) 1)
(* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))
(/ (+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* -1/8 (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2)))))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* -1/16 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))))))))) u1)
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (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)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
(/ -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)) (* 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) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(pow u1 3)
(* (pow u1 3) (+ 1 (/ 1 u1)))
(* (pow u1 3) (- (+ 1 (/ 1 u1)) (/ 1 (pow u1 2))))
(* (pow u1 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (/ 1 u1))))
(* -1 (* u1 (+ 1 (/ 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))))))
(pow -1 1/4)
(+ (* 1/4 (* (pow -1 1/4) (/ 1 u1))) (pow -1 1/4))
(+ (* 5/32 (* (pow -1 1/4) (/ 1 (pow u1 2)))) (+ (* 1/4 (* (pow -1 1/4) (/ 1 u1))) (pow -1 1/4)))
(+ (* 15/128 (* (pow -1 1/4) (/ 1 (pow u1 3)))) (+ (* 5/32 (* (pow -1 1/4) (/ 1 (pow u1 2)))) (+ (* 1/4 (* (pow -1 1/4) (/ 1 u1))) (pow -1 1/4))))
(* -1 (pow u1 2))
(* -1 (* (pow u1 2) (+ 1 (* 2 (/ 1 u1)))))
(* (pow u1 2) (- (* -1 (/ (+ 2 (/ 1 u1)) u1)) 1))
(/ (sqrt -1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (/ 1 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) (/ (sqrt -1) (cos (* 314159265359/50000000000 u2))))
(- (+ (/ 1/2 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (/ (sqrt -1) (cos (* 314159265359/50000000000 u2)))) (/ 1/8 (* (pow u1 2) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3)))))
(- (+ (/ 1/2 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* 1/16 (/ 1 (* (pow u1 3) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 5))))) (/ (sqrt -1) (cos (* 314159265359/50000000000 u2))))) (* 1/8 (/ 1 (* (pow u1 2) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3))))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 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 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* (pow u1 3) (- (* -1 (/ (- 1 (/ 1 u1)) u1)) 1)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 u1)) u1))) u1)) 1)))
(* -1 (* (sqrt u1) (sqrt -1)))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(sqrt (sqrt -1))
(+ (sqrt (sqrt -1)) (* 1/4 (* (/ 1 u1) (sqrt (sqrt -1)))))
(+ (sqrt (sqrt -1)) (* -1 (/ (+ (* -1/4 (sqrt (sqrt -1))) (* -5/32 (* (/ 1 u1) (sqrt (sqrt -1))))) u1)))
(+ (sqrt (sqrt -1)) (* -1 (/ (+ (* -1 (/ (+ (* 15/128 (* (/ 1 u1) (sqrt (sqrt -1)))) (* 5/32 (sqrt (sqrt -1)))) u1)) (* -1/4 (sqrt (sqrt -1)))) u1)))
(/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(- (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ 1 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) (* 1/2 (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) u1)) (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1 (/ (+ (/ 1/16 (* (pow u1 2) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (/ 1/8 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))) u1)) (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(* (sqrt (/ u1 (- u1 1))) (sqrt -1))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))
(+ (* (sqrt (/ u1 (- u1 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))))))
(+ (* (sqrt (/ u1 (- u1 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (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)))))))))
(+ (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)))))))
(* 314159265359/50000000000 u2)
(sqrt (/ (- 1 u1) u1))
(+ (sqrt (/ (- 1 u1) u1)) (* 98696044010906577398881/5000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))
(+ (sqrt (/ (- 1 u1) u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))))
(+ (sqrt (/ (- 1 u1) u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))))))
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ (- 1 u1) u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	u1	@	0	((* (/ -1 (- u1 1)) u1) (* (sqrt (* (/ -1 (- u1 1)) u1)) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- u1 1)) u1)) (/ -1 (- u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (/ (+ (* (* u1 u1) (+ 1 u1)) (- (neg u1) 1)) (* (- (neg u1) 1) (+ 1 u1))) (/ u1 (/ (+ (* (* u1 u1) (+ 1 u1)) (- (neg u1) 1)) (* (- (neg u1) 1) (+ 1 u1)))) (+ (* (* u1 u1) (+ 1 u1)) (- (neg u1) 1)) (- (neg u1) 1) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000))))) (sqrt (- 1 u1)) (- 1 u1) (* (sqrt u1) (cos (* u2 314159265359/50000000000))) (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (* (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (- (neg u1) 1) (+ 1 u1)) (* u2 314159265359/50000000000) (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000)))))
4.0ms	u1	@	-inf	((* (/ -1 (- u1 1)) u1) (* (sqrt (* (/ -1 (- u1 1)) u1)) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- u1 1)) u1)) (/ -1 (- u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (/ (+ (* (* u1 u1) (+ 1 u1)) (- (neg u1) 1)) (* (- (neg u1) 1) (+ 1 u1))) (/ u1 (/ (+ (* (* u1 u1) (+ 1 u1)) (- (neg u1) 1)) (* (- (neg u1) 1) (+ 1 u1)))) (+ (* (* u1 u1) (+ 1 u1)) (- (neg u1) 1)) (- (neg u1) 1) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000))))) (sqrt (- 1 u1)) (- 1 u1) (* (sqrt u1) (cos (* u2 314159265359/50000000000))) (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (* (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (- (neg u1) 1) (+ 1 u1)) (* u2 314159265359/50000000000) (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000)))))
4.0ms	u2	@	-inf	((* (/ -1 (- u1 1)) u1) (* (sqrt (* (/ -1 (- u1 1)) u1)) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- u1 1)) u1)) (/ -1 (- u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (/ (+ (* (* u1 u1) (+ 1 u1)) (- (neg u1) 1)) (* (- (neg u1) 1) (+ 1 u1))) (/ u1 (/ (+ (* (* u1 u1) (+ 1 u1)) (- (neg u1) 1)) (* (- (neg u1) 1) (+ 1 u1)))) (+ (* (* u1 u1) (+ 1 u1)) (- (neg u1) 1)) (- (neg u1) 1) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000))))) (sqrt (- 1 u1)) (- 1 u1) (* (sqrt u1) (cos (* u2 314159265359/50000000000))) (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (* (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (- (neg u1) 1) (+ 1 u1)) (* u2 314159265359/50000000000) (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000)))))
4.0ms	u1	@	inf	((* (/ -1 (- u1 1)) u1) (* (sqrt (* (/ -1 (- u1 1)) u1)) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- u1 1)) u1)) (/ -1 (- u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (/ (+ (* (* u1 u1) (+ 1 u1)) (- (neg u1) 1)) (* (- (neg u1) 1) (+ 1 u1))) (/ u1 (/ (+ (* (* u1 u1) (+ 1 u1)) (- (neg u1) 1)) (* (- (neg u1) 1) (+ 1 u1)))) (+ (* (* u1 u1) (+ 1 u1)) (- (neg u1) 1)) (- (neg u1) 1) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000))))) (sqrt (- 1 u1)) (- 1 u1) (* (sqrt u1) (cos (* u2 314159265359/50000000000))) (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (* (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (- (neg u1) 1) (+ 1 u1)) (* u2 314159265359/50000000000) (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000)))))
3.0ms	u2	@	inf	((* (/ -1 (- u1 1)) u1) (* (sqrt (* (/ -1 (- u1 1)) u1)) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- u1 1)) u1)) (/ -1 (- u1 1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (/ (+ (* (* u1 u1) (+ 1 u1)) (- (neg u1) 1)) (* (- (neg u1) 1) (+ 1 u1))) (/ u1 (/ (+ (* (* u1 u1) (+ 1 u1)) (- (neg u1) 1)) (* (- (neg u1) 1) (+ 1 u1)))) (+ (* (* u1 u1) (+ 1 u1)) (- (neg u1) 1)) (- (neg u1) 1) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000))))) (sqrt (- 1 u1)) (- 1 u1) (* (sqrt u1) (cos (* u2 314159265359/50000000000))) (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (* (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (/ u1 (- 1 u1))) (* 314159265359/50000000000 u2) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (- (neg u1) 1) (+ 1 u1)) (* u2 314159265359/50000000000) (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000)))))

simplify207.0ms (2.3%)

Memory

12.6MiB live, 289.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	509	2490
1	1517	2250
2	5426	2234
0	8071	2119

Stop Event

1×	iter limit
1×	node limit

Counts

128 → 127

Calls

Call 1

Inputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (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)))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
1
(+ 1 u1)
(+ 1 (* u1 (+ 1 u1)))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(+ 1 (* -1 u1))
-1
(- (* -1 u1) 1)
(- (* u1 (- u1 1)) 1)
(- (* u1 (- (* u1 (+ 1 u1)) 1)) 1)
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(pow (* 1 u1) 1/4)
(+ (* 1/4 (pow (* 1 (pow u1 5)) 1/4)) (pow (* 1 u1) 1/4))
(+ (* u1 (+ (* 5/32 (pow (* 1 (pow u1 5)) 1/4)) (* 1/4 (pow (* 1 u1) 1/4)))) (pow (* 1 u1) 1/4))
(+ (* u1 (+ (* 1/4 (pow (* 1 u1) 1/4)) (* u1 (+ (* 15/128 (pow (* 1 (pow u1 5)) 1/4)) (* 5/32 (pow (* 1 u1) 1/4)))))) (pow (* 1 u1) 1/4))
(- (* -2 u1) 1)
(- (* u1 (- (* -1 u1) 2)) 1)
(* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))
(/ (+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* -1/8 (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2)))))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* -1/16 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))))))))) u1)
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (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)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
(/ -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)) (* 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) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(pow u1 3)
(* (pow u1 3) (+ 1 (/ 1 u1)))
(* (pow u1 3) (- (+ 1 (/ 1 u1)) (/ 1 (pow u1 2))))
(* (pow u1 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (/ 1 u1))))
(* -1 (* u1 (+ 1 (/ 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))))))
(pow -1 1/4)
(+ (* 1/4 (* (pow -1 1/4) (/ 1 u1))) (pow -1 1/4))
(+ (* 5/32 (* (pow -1 1/4) (/ 1 (pow u1 2)))) (+ (* 1/4 (* (pow -1 1/4) (/ 1 u1))) (pow -1 1/4)))
(+ (* 15/128 (* (pow -1 1/4) (/ 1 (pow u1 3)))) (+ (* 5/32 (* (pow -1 1/4) (/ 1 (pow u1 2)))) (+ (* 1/4 (* (pow -1 1/4) (/ 1 u1))) (pow -1 1/4))))
(* -1 (pow u1 2))
(* -1 (* (pow u1 2) (+ 1 (* 2 (/ 1 u1)))))
(* (pow u1 2) (- (* -1 (/ (+ 2 (/ 1 u1)) u1)) 1))
(/ (sqrt -1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (/ 1 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) (/ (sqrt -1) (cos (* 314159265359/50000000000 u2))))
(- (+ (/ 1/2 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (/ (sqrt -1) (cos (* 314159265359/50000000000 u2)))) (/ 1/8 (* (pow u1 2) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3)))))
(- (+ (/ 1/2 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* 1/16 (/ 1 (* (pow u1 3) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 5))))) (/ (sqrt -1) (cos (* 314159265359/50000000000 u2))))) (* 1/8 (/ 1 (* (pow u1 2) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3))))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 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 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* (pow u1 3) (- (* -1 (/ (- 1 (/ 1 u1)) u1)) 1)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 u1)) u1))) u1)) 1)))
(* -1 (* (sqrt u1) (sqrt -1)))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(sqrt (sqrt -1))
(+ (sqrt (sqrt -1)) (* 1/4 (* (/ 1 u1) (sqrt (sqrt -1)))))
(+ (sqrt (sqrt -1)) (* -1 (/ (+ (* -1/4 (sqrt (sqrt -1))) (* -5/32 (* (/ 1 u1) (sqrt (sqrt -1))))) u1)))
(+ (sqrt (sqrt -1)) (* -1 (/ (+ (* -1 (/ (+ (* 15/128 (* (/ 1 u1) (sqrt (sqrt -1)))) (* 5/32 (sqrt (sqrt -1)))) u1)) (* -1/4 (sqrt (sqrt -1)))) u1)))
(/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(- (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ 1 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) (* 1/2 (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) u1)) (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1 (/ (+ (/ 1/16 (* (pow u1 2) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (/ 1/8 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))) u1)) (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(* (sqrt (/ u1 (- u1 1))) (sqrt -1))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))
(+ (* (sqrt (/ u1 (- u1 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))))))
(+ (* (sqrt (/ u1 (- u1 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (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)))))))))
(+ (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)))))))
(* 314159265359/50000000000 u2)
(sqrt (/ (- 1 u1) u1))
(+ (sqrt (/ (- 1 u1) u1)) (* 98696044010906577398881/5000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))
(+ (sqrt (/ (- 1 u1) u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))))
(+ (sqrt (/ (- 1 u1) u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))))))
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ (- 1 u1) u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))

Outputs
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(.f32 (neg.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)) (pow (sqrt -1) 2))))
(fma.f32 (.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1/2 binary32) (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* (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)))))))
(fma.f32 (neg.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1) (.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)))))
(+ (* (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)))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 #s(literal -1/2 binary32) u1) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))) (.f32 u1 u1) (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(* (sqrt u1) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 u1))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/2 binary32) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(-.f32 (.f32 (.f32 (*.f32 u1 u1) #s(literal -1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (sqrt.f32 u1))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) u1) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))) (*.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))
1
#s(literal 1 binary32)
(+ 1 u1)
(+.f32 #s(literal 1 binary32) u1)
(+ 1 (* u1 (+ 1 u1)))
(+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
(fma.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) u1 #s(literal 1 binary32))
(* (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 #s(literal 1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(fma.f32 (.f32 (.f32 u1 u1) #s(literal 1/2 binary32)) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))) (.f32 u1 u1) (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (.f32 (.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(fma.f32 (fma.f32 (.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (sqrt.f32 u1))
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
-1
#s(literal -1 binary32)
(- (* -1 u1) 1)
(-.f32 #s(literal -1 binary32) u1)
(- (* u1 (- u1 1)) 1)
(fma.f32 (-.f32 u1 #s(literal 1 binary32)) u1 #s(literal -1 binary32))
(- (* u1 (- (* u1 (+ 1 u1)) 1)) 1)
(fma.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) u1 #s(literal -1 binary32))
(+ 1 (* -1/2 u1))
(fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(fma.f32 (fma.f32 #s(literal -1/8 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/16 binary32) u1 #s(literal -1/8 binary32)) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32))
(pow (* 1 u1) 1/4)
(pow.f32 u1 #s(literal 1/4 binary32))
(+ (* 1/4 (pow (* 1 (pow u1 5)) 1/4)) (pow (* 1 u1) 1/4))
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(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -3/8 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/16 binary32) (.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1)) u1))
(* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1))
(/.f32 (-.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1)) u1)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)) u1)) (neg.f32 u1))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(sqrt.f32 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(-.f32 #s(literal 1 binary32) u1)
(* -1 (* (pow u1 3) (- (* -1 (/ (- 1 (/ 1 u1)) u1)) 1)))
(*.f32 (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))) (pow.f32 u1 #s(literal 3 binary32)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 u1)) u1))) u1)) 1)))
(*.f32 (neg.f32 (-.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)) u1))) (pow.f32 u1 #s(literal 3 binary32)))
(* -1 (* (sqrt u1) (sqrt -1)))
(*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 u1))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(.f32 (.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1)
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) #s(literal -1/8 binary32)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (neg.f32 u1))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
(.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 7 binary32)))) #s(literal 1/16 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (neg.f32 u1))
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt (sqrt -1))
(sqrt.f32 (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt (sqrt -1)) (* 1/4 (* (/ 1 u1) (sqrt (sqrt -1)))))
(*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) u1) #s(literal 1 binary32)) (sqrt.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (sqrt (sqrt -1)) (* -1 (/ (+ (* -1/4 (sqrt (sqrt -1))) (* -5/32 (* (/ 1 u1) (sqrt (sqrt -1))))) u1)))
(-.f32 (sqrt.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (sqrt.f32 (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal -5/32 binary32) u1) #s(literal -1/4 binary32))) u1))
(+ (sqrt (sqrt -1)) (* -1 (/ (+ (* -1 (/ (+ (* 15/128 (* (/ 1 u1) (sqrt (sqrt -1)))) (* 5/32 (sqrt (sqrt -1)))) u1)) (* -1/4 (sqrt (sqrt -1)))) u1)))
(-.f32 (sqrt.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (sqrt.f32 (sqrt.f32 #s(literal -1 binary32))) (+.f32 #s(literal 5/32 binary32) (/.f32 #s(literal 15/128 binary32) u1))) (neg.f32 u1))) u1))
(/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(- (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ 1 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 (/.f32 #s(literal 1/2 binary32) u1) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) (* 1/2 (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) u1)) (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) u1) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) u1))
(+ (* -1 (/ (+ (/ 1/16 (* (pow u1 2) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (/ 1/8 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))) u1)) (/ 1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) u1) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (/.f32 (/.f32 #s(literal 1/16 binary32) (.f32 u1 u1)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) u1))
(* (sqrt (/ u1 (- u1 1))) (sqrt -1))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))
(fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt (/ u1 (- u1 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))))))
(fma.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))) (.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt (/ u1 (- u1 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (.f32 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 u2 u2) (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))) (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))))
(sqrt (/ u1 (- 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(fma.f32 (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))
(fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))))))
(fma.f32 (fma.f32 (.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1)))))))
(fma.f32 (fma.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)))) (*.f32 u2 u2) (sqrt.f32 u1))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sqrt (/ (- 1 u1) u1))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(+ (sqrt (/ (- 1 u1) u1)) (* 98696044010906577398881/5000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))
(fma.f32 (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(+ (sqrt (/ (- 1 u1) u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))))
(fma.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) (.f32 u2 u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(+ (sqrt (/ (- 1 u1) u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))))))
(fma.f32 (.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (.f32 #s(literal 58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #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 (/ (- 1 u1) u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))
(/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

rewrite174.0ms (1.9%)

Memory

13.2MiB live, 251.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	259
0	74	239
1	224	231
2	1526	213
0	9172	206

Stop Event

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

Counts

24 → 1 336

Calls

Call 1

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

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

eval191.0ms (2.1%)

Memory: 8.8MiB live, 315.5MiB allocated
Compiler: Compiled 59 634 to 7 743 computations (87% saved)

prune129.0ms (1.4%)

Memory

-11.3MiB live, 204.3MiB allocated

Pruning

58 alts after pruning (50 fresh and 8 done)

	Pruned	Kept	Total
New	1 555	31	1 586
Fresh	9	19	28
Picked	1	4	5
Done	0	4	4
Total	1 565	58	1 623

Accuracy

99.7%

Counts

1 623 → 58

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.2%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
	98.6%	(/.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)))))
✓	98.3%	(/.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))))))
▶	98.7%	(/.f32 #s(literal 1 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)))))
	98.4%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
	92.1%	(/.f32 #s(literal 1 binary32) (exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1 binary32))))
	74.8%	(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
	80.0%	(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
	98.3%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 (-.f32 (.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (.f32 u1 u1)) (pow.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) (pow.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 3 binary32))) (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.4%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.9%	(.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #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 1/4 binary32))))
	98.6%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.0%	(.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	98.3%	(.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))
▶	98.1%	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	97.7%	(.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)))
	97.8%	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	98.6%	(.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)))
	84.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (.f32 u1 u1) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1))))) (/.f32 #s(literal 1 binary32) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	93.5%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(approx (/ ( u1 u1) (- (neg u1) 1)) (.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) u1) u1)) (/.f32 #s(literal 1 binary32) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	80.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (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))))
	80.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
	33.3%	(.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)))
	98.5%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 u1 u1) u1) (.f32 u1 u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.7%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	68.0%	(.f32 (sqrt.f32 (/.f32 #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)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	82.9%	(.f32 (sqrt.f32 (-.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	96.8%	(.f32 (sqrt.f32 (.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 4 binary32)) (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 4 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.6%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.7%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.2%	(.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- u1 1)) (+.f32 #s(literal 1 binary32) u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
▶	74.9%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	80.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	80.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 u1 #s(literal 1 binary32))))))
▶	63.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32)))))
	71.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
	71.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (/.f32 (neg.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
	72.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (-.f32 u1 #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
	71.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
	62.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (fma.f32 #s(literal -2 binary32) u1 #s(literal -1 binary32)))))))
	16.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (*.f32 (neg.f32 u1) u1))))))
	71.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
	72.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
	71.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (.f32 u1 u1)) (-.f32 (neg.f32 u1) #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal -1 binary32)))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
	62.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))))))
	60.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))))) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1))))))
▶	75.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
	80.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))))
	72.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (+ (* (* u1 u1) (+ 1 u1)) (- (neg u1) 1)) (-.f32 #s(literal -1 binary32) u1)) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
	62.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))))
	61.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) (-.f32 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))))
✓	80.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	62.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (.f32 (/.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 u1 #s(literal 1 binary32)))) (-.f32 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
✓	63.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
	62.0%	#s(approx (* (sqrt (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))

Compiler

Compiled 2 808 to 2 053 computations (26.9% saved)

simplify169.0ms (1.9%)

Memory

23.5MiB live, 132.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
cost-diff	0	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	0	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
cost-diff	0	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	64	(*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))
cost-diff	160	(-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) u1)))
cost-diff	448	(/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))
cost-diff	544	(/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32)))
cost-diff	0	(sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32))))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32)))))
cost-diff	96	(fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32))
cost-diff	0	(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
cost-diff	0	(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
cost-diff	352	(/.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))))
cost-diff	352	(/.f32 #s(literal 1 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)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	358
0	81	299
1	139	299
2	277	290
3	782	282
4	3717	282
0	8068	279

Stop Event

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

Calls

Call 1

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

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

localize213.0ms (2.4%)

Memory

-34.3MiB live, 211.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.10954703849955791	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.18359375	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.34765625	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.41634750976844204	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
accuracy	0.10954703849955791	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.18359375	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.34765625	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	7.961517768728238	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
accuracy	0.4537887695368841	(*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))
accuracy	0.4596863281475362	(/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))
accuracy	6.272155088209783	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
accuracy	8.640344757262097	(fma.f32 u1 u1 u1)
accuracy	0.09375	(sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32))))
accuracy	0.14453125	(/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32)))
accuracy	6.272155088209783	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32)))))
accuracy	8.997731342653504	(fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32))
accuracy	0.23046875	(/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
accuracy	0.265625	(/.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))))
accuracy	0.265625	(/.f32 #s(literal 1 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)))))
accuracy	0.34765625	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))

Samples

113.0ms	246×	0	valid
5.0ms	10×	1	valid

Compiler

Compiled 690 to 94 computations (86.4% saved)

Precisions

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

ival-div: 30.0ms (32.9% of total)

ival-mult: 30.0ms (32.9% of total)

ival-sqrt: 11.0ms (12.1% of total)

ival-sub: 6.0ms (6.6% of total)

ival-cos: 6.0ms (6.6% of total)

const: 4.0ms (4.4% of total)

ival-add: 3.0ms (3.3% of total)

adjust: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory

25.1MiB live, 25.1MiB allocated

Counts

24 → 108

Calls

Call 1

Inputs
(/.f32 #s(literal 1 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 #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 (-.f32 #s(literal 1 binary32) u1) u1)))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32))))
(/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32)))
(/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))
(/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))
(-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) u1)))
(*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(fma.f32 u1 u1 u1)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.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 (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))
(/ (+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* -1/8 (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2)))))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* -1/16 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))))))))) u1)
1
(+ 1 (* -1 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))))))
-1
(- (* -1 u1) 1)
(- (* u1 (- u1 1)) 1)
(- (* u1 (- (* u1 (+ 1 u1)) 1)) 1)
(- (* -2 u1) 1)
(- (* u1 (- (* -1 u1) 2)) 1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 5))))
(+ (sqrt u1) (* (pow u1 3) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (pow u1 3))))))
(+ (sqrt u1) (* (pow u1 3) (+ (* 1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 u1))))))))
(* u1 (+ 1 (pow u1 2)))
(* u1 (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))
(* u1 (+ 1 (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(/ (sqrt -1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (/ 1 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) (/ (sqrt -1) (cos (* 314159265359/50000000000 u2))))
(- (+ (/ 1/2 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (/ (sqrt -1) (cos (* 314159265359/50000000000 u2)))) (/ 1/8 (* (pow u1 2) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3)))))
(- (+ (/ 1/2 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* 1/16 (/ 1 (* (pow u1 3) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 5))))) (/ (sqrt -1) (cos (* 314159265359/50000000000 u2))))) (* 1/8 (/ 1 (* (pow u1 2) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3))))))
(* -1 u1)
(* u1 (- (/ 1 u1) 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)))
(pow u1 3)
(* (pow u1 3) (+ 1 (/ 1 u1)))
(* (pow u1 3) (- (+ 1 (/ 1 u1)) (/ 1 (pow u1 2))))
(* (pow u1 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (/ 1 u1))))
(* -1 (pow u1 2))
(* -1 (* (pow u1 2) (+ 1 (* 2 (/ 1 u1)))))
(* (pow u1 2) (- (* -1 (/ (+ 2 (/ 1 u1)) u1)) 1))
(* (sqrt (/ 1 u1)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 9))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 9))) (/ 1 (sqrt -1)))) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 9))) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(/ -1 u1)
(* -1 (/ (+ 1 (/ 1 (pow u1 2))) u1))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2))) 1) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 4))) (+ 1 (/ 1 (pow u1 2)))) u1)
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -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)))
(+ (* -1/2 (/ (sqrt -1) (* u1 (cos (* 314159265359/50000000000 u2))))) (/ (sqrt -1) (cos (* 314159265359/50000000000 u2))))
(+ (* -1 (/ (+ (* 1/8 (/ (sqrt -1) (* u1 (cos (* 314159265359/50000000000 u2))))) (* 1/2 (/ (sqrt -1) (cos (* 314159265359/50000000000 u2))))) u1)) (/ (sqrt -1) (cos (* 314159265359/50000000000 u2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (sqrt -1) (cos (* 314159265359/50000000000 u2)))) (* -1/16 (/ (sqrt -1) (* u1 (cos (* 314159265359/50000000000 u2)))))) u1)) (* 1/2 (/ (sqrt -1) (cos (* 314159265359/50000000000 u2))))) u1)) (/ (sqrt -1) (cos (* 314159265359/50000000000 u2))))
(* -1 (* u1 (- 1 (/ 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 (* (pow u1 3) (- (* -1 (/ (- 1 (/ 1 u1)) u1)) 1)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 u1)) u1))) u1)) 1)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 3))
(+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 3)))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1)))) (pow u1 3))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 3)))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* 1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))))) (pow u1 3))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 3)))
(* -1 (/ (+ 1 (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 4)))) u1))
(* -1 (/ (+ 1 (+ (/ 1 (pow u1 2)) (+ (/ 1 (pow u1 4)) (/ 1 (pow u1 6))))) 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 (/ (- 1 u1) u1))
(+ (sqrt (/ (- 1 u1) u1)) (* 98696044010906577398881/5000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))
(+ (sqrt (/ (- 1 u1) u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))))
(+ (sqrt (/ (- 1 u1) u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))))))
(+ 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 (+ 1 u1)) (- 1 (pow u1 2))))
(+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2))))
(+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2))))))
(+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))))))))
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ (- 1 u1) u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))
(cos (* 314159265359/50000000000 u2))
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (cos (* 314159265359/50000000000 u2)))

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	u1	@	-inf	((/ 1 (/ 1 (/ (cos (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))))) (/ 1 (/ (cos (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1)))) (/ (cos (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (cos (* u2 314159265359/50000000000)) (+ (* u1 -1) 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ (* u1 -1) 1))) (/ u1 (+ (* u1 -1) 1)) (/ u1 (/ (- (neg u1) (- 1 (* (+ (* u1 u1) u1) u1))) (* (- (neg u1) 1) (+ 1 u1)))) (/ (- (neg u1) (- 1 (* (+ (* u1 u1) u1) u1))) (* (- (neg u1) 1) (+ 1 u1))) (- (neg u1) (- 1 (* (+ (* u1 u1) u1) u1))) (* (- (neg u1) 1) (+ 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (cos (* 314159265359/50000000000 u2)) (* (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (+ 1 u1))) (sqrt (/ u1 (- 1 (* u1 u1)))) (/ u1 (- 1 (* u1 u1))) (* u2 314159265359/50000000000) (+ (* u1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* 314159265359/50000000000 u2))
2.0ms	u1	@	inf	((/ 1 (/ 1 (/ (cos (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))))) (/ 1 (/ (cos (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1)))) (/ (cos (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (cos (* u2 314159265359/50000000000)) (+ (* u1 -1) 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ (* u1 -1) 1))) (/ u1 (+ (* u1 -1) 1)) (/ u1 (/ (- (neg u1) (- 1 (* (+ (* u1 u1) u1) u1))) (* (- (neg u1) 1) (+ 1 u1)))) (/ (- (neg u1) (- 1 (* (+ (* u1 u1) u1) u1))) (* (- (neg u1) 1) (+ 1 u1))) (- (neg u1) (- 1 (* (+ (* u1 u1) u1) u1))) (* (- (neg u1) 1) (+ 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (cos (* 314159265359/50000000000 u2)) (* (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (+ 1 u1))) (sqrt (/ u1 (- 1 (* u1 u1)))) (/ u1 (- 1 (* u1 u1))) (* u2 314159265359/50000000000) (+ (* u1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* 314159265359/50000000000 u2))
2.0ms	u2	@	inf	((/ 1 (/ 1 (/ (cos (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))))) (/ 1 (/ (cos (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1)))) (/ (cos (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (cos (* u2 314159265359/50000000000)) (+ (* u1 -1) 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ (* u1 -1) 1))) (/ u1 (+ (* u1 -1) 1)) (/ u1 (/ (- (neg u1) (- 1 (* (+ (* u1 u1) u1) u1))) (* (- (neg u1) 1) (+ 1 u1)))) (/ (- (neg u1) (- 1 (* (+ (* u1 u1) u1) u1))) (* (- (neg u1) 1) (+ 1 u1))) (- (neg u1) (- 1 (* (+ (* u1 u1) u1) u1))) (* (- (neg u1) 1) (+ 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (cos (* 314159265359/50000000000 u2)) (* (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (+ 1 u1))) (sqrt (/ u1 (- 1 (* u1 u1)))) (/ u1 (- 1 (* u1 u1))) (* u2 314159265359/50000000000) (+ (* u1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* 314159265359/50000000000 u2))
2.0ms	u2	@	-inf	((/ 1 (/ 1 (/ (cos (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))))) (/ 1 (/ (cos (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1)))) (/ (cos (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (cos (* u2 314159265359/50000000000)) (+ (* u1 -1) 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ (* u1 -1) 1))) (/ u1 (+ (* u1 -1) 1)) (/ u1 (/ (- (neg u1) (- 1 (* (+ (* u1 u1) u1) u1))) (* (- (neg u1) 1) (+ 1 u1)))) (/ (- (neg u1) (- 1 (* (+ (* u1 u1) u1) u1))) (* (- (neg u1) 1) (+ 1 u1))) (- (neg u1) (- 1 (* (+ (* u1 u1) u1) u1))) (* (- (neg u1) 1) (+ 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (cos (* 314159265359/50000000000 u2)) (* (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (+ 1 u1))) (sqrt (/ u1 (- 1 (* u1 u1)))) (/ u1 (- 1 (* u1 u1))) (* u2 314159265359/50000000000) (+ (* u1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* 314159265359/50000000000 u2))
2.0ms	u1	@	0	((/ 1 (/ 1 (/ (cos (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))))) (/ 1 (/ (cos (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1)))) (/ (cos (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) u1))) (cos (* u2 314159265359/50000000000)) (+ (* u1 -1) 1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ (* u1 -1) 1))) (/ u1 (+ (* u1 -1) 1)) (/ u1 (/ (- (neg u1) (- 1 (* (+ (* u1 u1) u1) u1))) (* (- (neg u1) 1) (+ 1 u1)))) (/ (- (neg u1) (- 1 (* (+ (* u1 u1) u1) u1))) (* (- (neg u1) 1) (+ 1 u1))) (- (neg u1) (- 1 (* (+ (* u1 u1) u1) u1))) (* (- (neg u1) 1) (+ 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (cos (* 314159265359/50000000000 u2)) (* (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (+ 1 u1))) (sqrt (/ u1 (- 1 (* u1 u1)))) (/ u1 (- 1 (* u1 u1))) (* u2 314159265359/50000000000) (+ (* u1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* 314159265359/50000000000 u2))

simplify236.0ms (2.6%)

Memory

-5.3MiB live, 146.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	451	2094
1	1293	1925
2	3912	1691
0	8796	1609

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 107

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)) (/ 1 (cos (* 314159265359/50000000000 u2))))
(/ (+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* -1/8 (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2)))))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (cos (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (cos (* 314159265359/50000000000 u2))))) (* -1/16 (* (sqrt (/ 1 u1)) (/ 1 (cos (* 314159265359/50000000000 u2)))))))))) u1)
1
(+ 1 (* -1 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))))))
-1
(- (* -1 u1) 1)
(- (* u1 (- u1 1)) 1)
(- (* u1 (- (* u1 (+ 1 u1)) 1)) 1)
(- (* -2 u1) 1)
(- (* u1 (- (* -1 u1) 2)) 1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 5))))
(+ (sqrt u1) (* (pow u1 3) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (pow u1 3))))))
(+ (sqrt u1) (* (pow u1 3) (+ (* 1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 u1))))))))
(* u1 (+ 1 (pow u1 2)))
(* u1 (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))
(* u1 (+ 1 (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(/ (sqrt -1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (/ 1 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) (/ (sqrt -1) (cos (* 314159265359/50000000000 u2))))
(- (+ (/ 1/2 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (/ (sqrt -1) (cos (* 314159265359/50000000000 u2)))) (/ 1/8 (* (pow u1 2) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3)))))
(- (+ (/ 1/2 (* u1 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* 1/16 (/ 1 (* (pow u1 3) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 5))))) (/ (sqrt -1) (cos (* 314159265359/50000000000 u2))))) (* 1/8 (/ 1 (* (pow u1 2) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3))))))
(* -1 u1)
(* u1 (- (/ 1 u1) 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)))
(pow u1 3)
(* (pow u1 3) (+ 1 (/ 1 u1)))
(* (pow u1 3) (- (+ 1 (/ 1 u1)) (/ 1 (pow u1 2))))
(* (pow u1 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (/ 1 u1))))
(* -1 (pow u1 2))
(* -1 (* (pow u1 2) (+ 1 (* 2 (/ 1 u1)))))
(* (pow u1 2) (- (* -1 (/ (+ 2 (/ 1 u1)) u1)) 1))
(* (sqrt (/ 1 u1)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 9))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 9))) (/ 1 (sqrt -1)))) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 9))) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(/ -1 u1)
(* -1 (/ (+ 1 (/ 1 (pow u1 2))) u1))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2))) 1) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 4))) (+ 1 (/ 1 (pow u1 2)))) u1)
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -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)))
(+ (* -1/2 (/ (sqrt -1) (* u1 (cos (* 314159265359/50000000000 u2))))) (/ (sqrt -1) (cos (* 314159265359/50000000000 u2))))
(+ (* -1 (/ (+ (* 1/8 (/ (sqrt -1) (* u1 (cos (* 314159265359/50000000000 u2))))) (* 1/2 (/ (sqrt -1) (cos (* 314159265359/50000000000 u2))))) u1)) (/ (sqrt -1) (cos (* 314159265359/50000000000 u2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (sqrt -1) (cos (* 314159265359/50000000000 u2)))) (* -1/16 (/ (sqrt -1) (* u1 (cos (* 314159265359/50000000000 u2)))))) u1)) (* 1/2 (/ (sqrt -1) (cos (* 314159265359/50000000000 u2))))) u1)) (/ (sqrt -1) (cos (* 314159265359/50000000000 u2))))
(* -1 (* u1 (- 1 (/ 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 (* (pow u1 3) (- (* -1 (/ (- 1 (/ 1 u1)) u1)) 1)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 u1)) u1))) u1)) 1)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 3))
(+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 3)))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1)))) (pow u1 3))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 3)))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* 1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))))) (pow u1 3))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 3)))
(* -1 (/ (+ 1 (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 4)))) u1))
(* -1 (/ (+ 1 (+ (/ 1 (pow u1 2)) (+ (/ 1 (pow u1 4)) (/ 1 (pow u1 6))))) 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 (/ (- 1 u1) u1))
(+ (sqrt (/ (- 1 u1) u1)) (* 98696044010906577398881/5000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))
(+ (sqrt (/ (- 1 u1) u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))))
(+ (sqrt (/ (- 1 u1) u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))))))
(+ 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 (+ 1 u1)) (- 1 (pow u1 2))))
(+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2))))
(+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2))))))
(+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))))))))
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ (- 1 u1) u1)) (/ 1 (cos (* 314159265359/50000000000 u2))))
(cos (* 314159265359/50000000000 u2))
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (cos (* 314159265359/50000000000 u2)))

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

rewrite319.0ms (3.6%)

Memory

-13.8MiB live, 218.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	260
0	81	238
1	294	236
2	2002	236
0	8388	232

Stop Event

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

Counts

24 → 1 210

Calls

Call 1

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

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

eval193.0ms (2.2%)

Memory: 18.8MiB live, 251.4MiB allocated
Compiler: Compiled 49 530 to 6 119 computations (87.6% saved)

prune116.0ms (1.3%)

Memory

-10.0MiB live, 285.0MiB allocated

Pruning

74 alts after pruning (64 fresh and 10 done)

	Pruned	Kept	Total
New	1 087	29	1 116
Fresh	10	35	45
Picked	2	3	5
Done	1	7	8
Total	1 100	74	1 174

Accuracy

99.7%

Counts

1 174 → 74

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.7%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
	98.2%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
	98.6%	(/.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)))))
✓	98.3%	(/.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))))))
	98.4%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
	74.8%	(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
	80.0%	(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
	98.3%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 (-.f32 (.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (.f32 u1 u1)) (pow.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))) (pow.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 3 binary32))) (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.4%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
	97.9%	(.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #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 1/4 binary32))))
	98.0%	(.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	98.3%	(.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))
	98.1%	(.f32 (.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
✓	97.7%	(.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)))
	97.8%	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	98.6%	(.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)))
	84.6%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (.f32 u1 u1) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1))))) (/.f32 #s(literal 1 binary32) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	80.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (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))))
	80.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
	33.3%	(.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)))
	98.5%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 u1 u1) u1) (.f32 u1 u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	66.8%	(.f32 (sqrt.f32 (/.f32 #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)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.3%	(.f32 (sqrt.f32 (-.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	96.8%	(.f32 (sqrt.f32 (.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 4 binary32)) (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/8 binary32)) #s(literal 4 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.6%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.7%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.2%	(.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- u1 1)) (+.f32 #s(literal 1 binary32) u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	74.9%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.1%	(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
	79.8%	#s(approx (/ 1 (/ 1 (/ (cos (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) 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)))))
	63.5%	#s(approx (* (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
	63.8%	#s(approx (* (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
	80.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	80.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))
	80.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) u1) (-.f32 #s(literal 1 binary32) u1)))))
	79.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.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) (.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
	19.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (fma.f32 (/.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (/.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (neg.f32 (fma.f32 u1 u1 u1))))))
	19.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal 1 binary32) (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1))))
	80.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (-.f32 #s(literal 1 binary32) u1))))))
	80.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 u1 #s(literal 1 binary32))))))
✓	63.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32)))))
	71.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
	71.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (/.f32 (neg.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
	71.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
	62.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (fma.f32 #s(literal -2 binary32) u1 #s(literal -1 binary32)))))))
	16.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (*.f32 (neg.f32 u1) u1))))))
	71.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
	72.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
	62.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))))))
	60.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))))) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1))))))
	75.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (/.f32 (neg.f32 u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1)))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))))
	75.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (neg.f32 (neg.f32 u1)) (.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (.f32 (neg.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1)))) (.f32 (neg.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))))
	19.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) u1))) (fma.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal -1 binary32) (neg.f32 (fma.f32 u1 u1 u1)))))))
	63.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) (fma.f32 (neg.f32 u1) (+.f32 u1 #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))))))
✓	75.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
	62.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (fma.f32 #s(literal -2 binary32) u1 #s(literal -1 binary32)))))))
	19.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (*.f32 (-.f32 #s(literal -2 binary32) u1) u1))))))
	75.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) u1)) u1) u1))))))
	16.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (*.f32 (neg.f32 u1) u1))))))
	72.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (- (neg u1) (- 1 (* (+ (* u1 u1) u1) u1))) (-.f32 #s(literal -1 binary32) u1)) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
✓	80.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	80.1%	#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))))
	69.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (+.f32 (.f32 (/.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (.f32 (/.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (neg.f32 (fma.f32 u1 u1 u1))))))
	72.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (/.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) u1)))
	80.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))))
	80.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
	55.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (.f32 (/.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 u1 #s(literal 1 binary32)))) (-.f32 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
	72.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))))
✓	63.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
	62.0%	#s(approx (* (sqrt (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))

Compiler

Compiled 4 873 to 2 028 computations (58.4% saved)

regimes297.0ms (3.3%)

Memory

35.5MiB live, 500.8MiB allocated

Counts

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

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

Calls

8 calls:

68.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
45.0ms	u2
31.0ms	u1
30.0ms	cosTheta_i
29.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
98.8%	1	`cosTheta_i`
98.8%	1	`u1`
98.8%	1	`u2`
98.8%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
98.8%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
98.8%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
98.8%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
98.8%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes152.0ms (1.7%)

Memory

-11.5MiB live, 338.9MiB allocated

Counts

56 → 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 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
#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 u1)))) (sqrt (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))))
#s(approx (/ 1 (/ 1 (/ (cos (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) 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)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.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 (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))) (sqrt.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (+ (* (* u1 u1) (+ 1 u1)) (- (neg u1) 1)) (-.f32 #s(literal -1 binary32) u1)) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (- (neg u1) (- 1 (* (+ (* u1 u1) u1) u1))) (-.f32 #s(literal -1 binary32) u1)) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 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 (fma.f32 u1 u1 u1) u1 (-.f32 u1 #s(literal 1 binary32)))) (-.f32 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 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 (+.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (fma.f32 #s(literal -2 binary32) u1 #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (fma.f32 #s(literal -2 binary32) u1 #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (*.f32 (neg.f32 u1) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (*.f32 (neg.f32 u1) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (*.f32 (-.f32 #s(literal -2 binary32) u1) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal 1 binary32) (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (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))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) u1))) (fma.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal -1 binary32) (neg.f32 (fma.f32 u1 u1 u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) (fma.f32 (neg.f32 u1) (+.f32 u1 #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 (sqrt.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) u1) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) (-.f32 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (-.f32 u1 #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (/.f32 (neg.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) u1)) u1) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (fma.f32 (/.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (/.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (neg.f32 (fma.f32 u1 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (+.f32 (.f32 (/.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (.f32 (/.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (neg.f32 (fma.f32 u1 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))))) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (.f32 u1 u1)) (-.f32 (neg.f32 u1) #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal -1 binary32)))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (/.f32 (neg.f32 u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1)))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (neg.f32 (neg.f32 u1)) (.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (.f32 (neg.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1)))) (.f32 (neg.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))))
(.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- u1 1)) (+.f32 #s(literal 1 binary32) u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ -1 (/ (- u1 1) u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs

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

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

Calls

8 calls:

29.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
24.0ms	u1
17.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
16.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
16.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
87.2%	1	`cosTheta_i`
92.4%	2	`u1`
94.3%	2	`u2`
93.7%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
92.4%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
92.4%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
94.3%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
94.3%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes116.0ms (1.3%)

Memory

7.8MiB live, 281.6MiB allocated

Counts

54 → 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 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
#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 u1)))) (sqrt (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))))
#s(approx (/ 1 (/ 1 (/ (cos (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) 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)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.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 (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))) (sqrt.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (+ (* (* u1 u1) (+ 1 u1)) (- (neg u1) 1)) (-.f32 #s(literal -1 binary32) u1)) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (- (neg u1) (- 1 (* (+ (* u1 u1) u1) u1))) (-.f32 #s(literal -1 binary32) u1)) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 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 (fma.f32 u1 u1 u1) u1 (-.f32 u1 #s(literal 1 binary32)))) (-.f32 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 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 (+.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (fma.f32 #s(literal -2 binary32) u1 #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (fma.f32 #s(literal -2 binary32) u1 #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (*.f32 (neg.f32 u1) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (*.f32 (neg.f32 u1) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (*.f32 (-.f32 #s(literal -2 binary32) u1) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal 1 binary32) (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (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))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) u1))) (fma.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal -1 binary32) (neg.f32 (fma.f32 u1 u1 u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) (fma.f32 (neg.f32 u1) (+.f32 u1 #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 (sqrt.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) u1) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) (-.f32 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (-.f32 u1 #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (/.f32 (neg.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) u1)) u1) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (fma.f32 (/.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (/.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (neg.f32 (fma.f32 u1 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (+.f32 (.f32 (/.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (.f32 (/.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (neg.f32 (fma.f32 u1 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))))) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (.f32 u1 u1)) (-.f32 (neg.f32 u1) #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal -1 binary32)))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (/.f32 (neg.f32 u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1)))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (neg.f32 (neg.f32 u1)) (.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (.f32 (neg.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1)))) (.f32 (neg.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))))

Outputs

(*.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))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))

Calls

7 calls:

17.0ms	u2
17.0ms	u1
17.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
16.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
16.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
88.6%	2	`u1`
88.6%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
88.6%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
90.2%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
90.4%	2	`u2`
90.4%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
90.4%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 31 to 41 computations (-32.3% saved)

regimes133.0ms (1.5%)

Memory

-12.9MiB live, 266.0MiB allocated

Counts

52 → 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 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
#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 u1)))) (sqrt (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))))
#s(approx (/ 1 (/ 1 (/ (cos (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) 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)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.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 (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))) (sqrt.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (+ (* (* u1 u1) (+ 1 u1)) (- (neg u1) 1)) (-.f32 #s(literal -1 binary32) u1)) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (- (neg u1) (- 1 (* (+ (* u1 u1) u1) u1))) (-.f32 #s(literal -1 binary32) u1)) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 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 (fma.f32 u1 u1 u1) u1 (-.f32 u1 #s(literal 1 binary32)))) (-.f32 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 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 (+.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (fma.f32 #s(literal -2 binary32) u1 #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (fma.f32 #s(literal -2 binary32) u1 #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (*.f32 (neg.f32 u1) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (*.f32 (neg.f32 u1) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (*.f32 (-.f32 #s(literal -2 binary32) u1) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal 1 binary32) (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (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))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) u1))) (fma.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal -1 binary32) (neg.f32 (fma.f32 u1 u1 u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) (fma.f32 (neg.f32 u1) (+.f32 u1 #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 (sqrt.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) u1) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) (-.f32 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (-.f32 u1 #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (/.f32 (neg.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) u1)) u1) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (fma.f32 (/.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (/.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (neg.f32 (fma.f32 u1 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (+.f32 (.f32 (/.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (.f32 (/.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (neg.f32 (fma.f32 u1 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))))) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (.f32 u1 u1)) (-.f32 (neg.f32 u1) #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal -1 binary32)))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (/.f32 (neg.f32 u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1)))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))

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

Calls

8 calls:

25.0ms	cosTheta_i
16.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
15.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
15.0ms	u2
15.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Results

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

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes124.0ms (1.4%)

Memory

15.5MiB live, 167.3MiB allocated

Counts

51 → 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 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
#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 u1)))) (sqrt (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))))
#s(approx (/ 1 (/ 1 (/ (cos (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) 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)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.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 (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))) (sqrt.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (+ (* (* u1 u1) (+ 1 u1)) (- (neg u1) 1)) (-.f32 #s(literal -1 binary32) u1)) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (- (neg u1) (- 1 (* (+ (* u1 u1) u1) u1))) (-.f32 #s(literal -1 binary32) u1)) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 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 (fma.f32 u1 u1 u1) u1 (-.f32 u1 #s(literal 1 binary32)))) (-.f32 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 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 (+.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (fma.f32 #s(literal -2 binary32) u1 #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (fma.f32 #s(literal -2 binary32) u1 #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (*.f32 (neg.f32 u1) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (*.f32 (neg.f32 u1) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (*.f32 (-.f32 #s(literal -2 binary32) u1) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal 1 binary32) (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (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))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) u1))) (fma.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal -1 binary32) (neg.f32 (fma.f32 u1 u1 u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) (fma.f32 (neg.f32 u1) (+.f32 u1 #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 (sqrt.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) u1) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) (-.f32 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (-.f32 u1 #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (/.f32 (neg.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) u1)) u1) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (fma.f32 (/.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 (/.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (neg.f32 (fma.f32 u1 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (+.f32 (.f32 (/.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (.f32 (/.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (neg.f32 (fma.f32 u1 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (neg.f32 u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))))) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (/.f32 (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (.f32 u1 u1)) (-.f32 (neg.f32 u1) #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal -1 binary32)))) (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (/.f32 (neg.f32 u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1)))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))))

Outputs

#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (-.f32 #s(literal 1 binary32) u1))))))

Calls

8 calls:

17.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
17.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
17.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
17.0ms	u1
14.0ms	cosTheta_i

Results

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

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes70.0ms (0.8%)

Memory

13.5MiB live, 96.7MiB allocated

Counts

27 → 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 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (exp (log (/ u1 (+ (* u1 u1) 1)))) (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
#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 u1)))) (sqrt (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* u2 314159265359/50000000000)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))))
#s(approx (/ 1 (/ 1 (/ (cos (* u2 314159265359/50000000000)) (sqrt (/ (- 1 u1) 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)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.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 (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))) (sqrt.f32 (/.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (+ (* (* u1 u1) (+ 1 u1)) (- (neg u1) 1)) (-.f32 #s(literal -1 binary32) u1)) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (- (neg u1) (- 1 (* (+ (* u1 u1) u1) u1))) (-.f32 #s(literal -1 binary32) u1)) (*.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 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 (fma.f32 u1 u1 u1) u1 (-.f32 u1 #s(literal 1 binary32)))) (-.f32 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 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 (+.f32 u1 #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 (neg.f32 u1) #s(literal 1 binary32)))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (fma.f32 #s(literal -2 binary32) u1 #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (fma.f32 #s(literal -2 binary32) u1 #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (*.f32 (neg.f32 u1) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1) (-.f32 (neg.f32 u1) #s(literal 1 binary32))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (*.f32 (neg.f32 u1) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) u1))) #s(approx ( (- (neg u1) 1) (+ 1 u1)) (*.f32 (-.f32 #s(literal -2 binary32) u1) 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:

12.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
11.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
8.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
8.0ms	cosTheta_i
8.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

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

regimes14.0ms (0.2%)

Memory

-9.7MiB live, 28.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

8 calls:

4.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
1.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
1.0ms	cosTheta_i
1.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
1.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
63.7%	1	`u1`
63.7%	1	`u2`
63.7%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
63.7%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
63.7%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
63.7%	1	`cosTheta_i`
63.7%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
63.7%	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

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0011015303898602724	0.0011315068695694208

Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999961256980896	0.9999961853027344

Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify32.0ms (0.4%)

Memory

24.9MiB live, 62.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	186
1	76	184
2	114	183
3	182	183
4	286	183
5	329	183
6	361	183
7	379	183
8	389	183
9	392	183

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 9620727/8589934592 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))) (.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- u1 1)) (+.f32 #s(literal 1 binary32) u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 16777151/16777216 binary32)) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (-.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))) #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)))
(.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 9620727/8589934592 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))) (.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- u1 1)) (+.f32 #s(literal 1 binary32) u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) #s(literal 9620727/8589934592 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))) (.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- u1 1)) (+.f32 #s(literal 1 binary32) u1)) u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(if (<=.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 16777151/16777216 binary32)) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))))
(if (<=.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 16777151/16777216 binary32)) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (-.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 0 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (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))) (sqrt.f32 u1)))

soundness887.0ms (9.9%)

Memory

6.0MiB live, 679.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	793
1	554	704
2	1625	636
3	4918	584
0	8208	552
0	509	2490
1	1517	2250
2	5426	2234
0	8071	2119
0	42	222
0	72	188
1	225	170
2	1701	169
0	8579	169
0	517	2887
1	1556	2605
2	4895	2338
0	8213	2214
0	47	260
0	81	238
1	294	236
2	2002	236
0	8388	232
0	10	32
0	16	32
1	46	32
2	237	32
3	1953	32
0	9692	32

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

Compiler

Compiled 375 to 240 computations (36% saved)

preprocess47.0ms (0.5%)

Memory

-20.2MiB live, 93.6MiB allocated

Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 520 to 256 computations (50.8% 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	361	102
5	611	102
6	775	102
7	871	102
8	910	102
9	930	102
10	934	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	48	186
1	76	184
2	114	183
3	182	183
4	286	183
5	329	183
6	361	183
7	379	183
8	389	183
9	392	183

Iter	Nodes	Cost
0	36	106
1	78	104
2	128	104
3	215	102
4	361	102
5	611	102
6	775	102
7	871	102
8	910	102
9	930	102
10	934	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	48	186
1	76	184
2	114	183
3	182	183
4	286	183
5	329	183
6	361	183
7	379	183
8	389	183
9	392	183

start0.0ms (0%)

analyze312.0ms (3.5%)

sample2.5s (28.2%)

explain229.0ms (2.6%)

preprocess35.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize34.0ms (0.4%)

series12.0ms (0.1%)

simplify246.0ms (2.8%)

rewrite184.0ms (2.1%)

eval62.0ms (0.7%)

prune30.0ms (0.3%)

simplify205.0ms (2.3%)

localize176.0ms (2%)

series34.0ms (0.4%)

simplify175.0ms (2%)

rewrite242.0ms (2.7%)

eval199.0ms (2.2%)

prune118.0ms (1.3%)

simplify110.0ms (1.2%)

localize133.0ms (1.5%)

series26.0ms (0.3%)

simplify207.0ms (2.3%)

rewrite174.0ms (1.9%)

eval191.0ms (2.1%)

prune129.0ms (1.4%)

simplify169.0ms (1.9%)

localize213.0ms (2.4%)

series22.0ms (0.2%)

simplify236.0ms (2.6%)

rewrite319.0ms (3.6%)

eval193.0ms (2.2%)

prune116.0ms (1.3%)

regimes297.0ms (3.3%)

regimes152.0ms (1.7%)

regimes116.0ms (1.3%)

regimes133.0ms (1.5%)

regimes124.0ms (1.4%)

regimes70.0ms (0.8%)

regimes14.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify32.0ms (0.4%)

soundness887.0ms (9.9%)

preprocess47.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	36	106
1	78	104
2	128	104
3	215	102
4	361	102
5	611	102
6	775	102
7	871	102
8	910	102
9	930	102
10	934	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	48	186
1	76	184
2	114	183
3	182	183
4	286	183
5	329	183
6	361	183
7	379	183
8	389	183
9	392	183