Metrics for Trowbridge-Reitz Sample, near normal, slope

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze282.0ms (3%)

Memory

31.9MiB live, 377.9MiB 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)

sample2.0s (21.1%)

Memory

32.6MiB live, 2 267.0MiB allocated

Samples

1.4s	8 256×	0	valid
1.0ms	5×	0	invalid

Precisions

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

const: 417.0ms (37% of total)

ival-<=: 165.0ms (14.7% of total)

ival-cos: 141.0ms (12.5% of total)

ival-mult: 115.0ms (10.2% of total)

ival-sub: 96.0ms (8.5% of total)

ival-div: 64.0ms (5.7% of total)

ival-sqrt: 58.0ms (5.2% of total)

ival-and: 35.0ms (3.1% of total)

ival->: 26.0ms (2.3% of total)

exact: 5.0ms (0.4% of total)

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

Bogosity

explain192.0ms (2%)

Memory

11.1MiB live, 209.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
1	-	1	(0.9999403953552246 0.0016797221032902598 0.2456209510564804)	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
0	-	0	-	`(-.f32 #s(literal 1 binary32) u1)`
0	-	0	-	`u2`
0	-	0	-	`#s(literal 1 binary32)`
0	-	0	-	`#s(literal 314159265359/50000000000 binary32)`
0	-	0	-	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
0	-	0	-	`u1`
0	-	0	-	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
0	-	0	-	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
0	-	0	-	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`

Confusion

	Predicted +	Predicted -
+	0	2
-	0	254

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	1	1
-	0	0	254

Precision?

1.0

Recall?

0.5

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

47.0ms

512×

valid

Compiler

Compiled 123 to 48 computations (61% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

const: 8.0ms (25.5% of total)

ival-mult: 7.0ms (22.3% of total)

ival-cos: 6.0ms (19.1% of total)

ival-div: 4.0ms (12.8% of total)

ival-sqrt: 4.0ms (12.8% of total)

ival-sub: 3.0ms (9.6% of total)

ival-true: 1.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

preprocess39.0ms (0.4%)

Memory

12.8MiB live, 50.8MiB 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	369	102
5	621	102
6	781	102
7	877	102
8	916	102
9	936	102
10	940	102
0	10	11
0	16	11
1	22	11
2	26	11
3	31	11
4	38	11
5	48	11
6	63	11
7	86	11
8	108	11
9	116	11
10	118	11
0	118	11

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 11 to 11 computations (0% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(.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

6.4MiB live, 6.4MiB 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

localize64.0ms (0.7%)

Memory

-2.2MiB live, 36.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1328125	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.1328125	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.13671875	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.3359375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

56.0ms

256×

valid

Compiler

Compiled 74 to 24 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 35.0ms (73.4% of total)

const: 4.0ms (8.4% of total)

ival-cos: 3.0ms (6.3% of total)

ival-sqrt: 3.0ms (6.3% of total)

ival-div: 2.0ms (4.2% of total)

ival-sub: 1.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

5 → 42

Calls

Call 1

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

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

Calls

9 calls:

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

simplify298.0ms (3.2%)

Memory

-66.6MiB live, 210.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 41

Calls

Call 1

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

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

rewrite185.0ms (2%)

Memory

44.3MiB live, 234.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 520

Calls

Call 1

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

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

eval160.0ms (1.7%)

Memory: -26.4MiB live, 294.4MiB allocated
Compiler: Compiled 14 466 to 2 550 computations (82.4% saved)

prune39.0ms (0.4%)

Memory

15.7MiB live, 98.0MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	539	20	559
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	539	21	560

Accuracy

99.8%

Counts

560 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.7%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.5%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
	99.0%	(.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.3%	(.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.0%	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.9%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.9%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	5.9%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 u1 u1))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	68.5%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32)) (pow.f32 (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32))) (+.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	99.0%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.0%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	72.0%	(.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.8%	(.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)))
	82.1%	(.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)))
	98.8%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.3%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	96.4%	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.2%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	81.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
▶	81.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))

Compiler

Compiled 801 to 631 computations (21.2% saved)

simplify249.0ms (2.6%)

Memory

8.2MiB live, 321.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	96	(-.f32 (*.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1))
cost-diff	160	(*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
cost-diff	544	(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
cost-diff	608	(*.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #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))
cost-diff	0	(+.f32 u1 #s(literal 1 binary32))
cost-diff	0	(/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
cost-diff	0	(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (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 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	64	(-.f32 (neg.f32 u1) #s(literal 1 binary32))
cost-diff	64	(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
cost-diff	544	(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	316
0	69	318
1	114	318
2	212	303
3	543	303
4	2173	217
5	6309	217
0	8194	216

Stop Event

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

Calls

Call 1

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

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

localize190.0ms (2%)

Memory

-1.6MiB live, 203.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.16796875	(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
accuracy	0.1796875	(*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
accuracy	0.28515625	(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
accuracy	0.3359375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.13671875	(.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	0.16796875	(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
accuracy	0.2734375	(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
accuracy	0.3359375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.09765625	(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
accuracy	0.1015625	(.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.3046875	(/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
accuracy	0.3359375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.0	(-.f32 #s(literal 1 binary32) u1)
accuracy	0.1328125	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.1328125	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy	5.807143724004289	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.1328125	(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))
accuracy	0.13671875	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.3359375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.375	(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))

Samples

164.0ms

256×

valid

Compiler

Compiled 627 to 82 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-mult: 40.0ms (35.4% of total)

ival-sqrt: 37.0ms (32.8% of total)

ival-div: 18.0ms (15.9% of total)

ival-sub: 5.0ms (4.4% of total)

ival-cos: 5.0ms (4.4% of total)

const: 4.0ms (3.5% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series28.0ms (0.3%)

Memory

-19.6MiB live, 55.5MiB allocated

Counts

22 → 117

Calls

Call 1

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

Outputs
1
(+ 1 (* -1 u1))
-1
(- (pow u1 2) 1)
(- (* -1 u1) 1)
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(* (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))))))
(+ (* -1/2 (* (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 (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(+ (sqrt u1) (* -1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1))))))))
(* u1 (+ 1 (* -1 u1)))
(* u1 (+ 1 (* u1 (- u1 1))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))
(+ 1 u1)
(* (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)
0
(/ (- (* 2 u1) 1) u1)
(/ (- (* u1 (+ 2 (* -1 u1))) 1) u1)
(- u1 1)
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* -1 (* u1 (+ 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)))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(cos (* 314159265359/50000000000 u2))
(+ (cos (* 314159265359/50000000000 u2)) (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)))
(+ (cos (* 314159265359/50000000000 u2)) (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2)))))
(+ (cos (* 314159265359/50000000000 u2)) (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (+ (* -5/16 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 3))) (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))))))
(- 1 (* 1/2 (/ 1 u1)))
(- (+ 1 (/ 3/8 (pow u1 2))) (* 1/2 (/ 1 u1)))
(- (+ 1 (/ 3/8 (pow u1 2))) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3)))))
(- 1 (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3))))
(* u1 (+ 1 (/ 1 u1)))
(+ (sqrt -1) (* 1/2 (/ (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)))))
(* u1 (- (* 2 (/ 1 u1)) 1))
(* u1 (- (* 2 (/ 1 u1)) (+ 1 (/ 1 (pow u1 2)))))
(* u1 (- 1 (/ 1 u1)))
(* -1 (* u1 (- 1 (/ 1 u1))))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* -1 (/ (+ (* -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)
(* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))
(+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1/2 (cos (* 314159265359/50000000000 u2))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) u1))) u1)) (* -1/2 (cos (* 314159265359/50000000000 u2)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(pow (sqrt -1) 2)
(+ (* 1/2 (/ 1 u1)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) u1)) 1/2) u1)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) u1))) u1)) 1/2) u1)) (pow (sqrt -1) 2))
(+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))
(* -1 (* u1 (- 1 (* 2 (/ 1 u1)))))
(* -1 (* u1 (+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1)))))
(* -1 (* u1 (- (/ 1 u1) 1)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))
(+ (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))))))
(+ (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))))))))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(sqrt (/ u1 (+ 1 u1)))
(+ (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 (- 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))))))))
(* 314159265359/50000000000 u2)
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	u2	@	inf	((/ (- (* u1 u1) 1) (- (neg u1) 1)) (- (* u1 u1) 1) (- (neg u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (+ u1 1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ u1 1))) (/ u1 (+ u1 1)) (+ u1 1) (/ -1 (/ (- u1 1) u1)) (* (sqrt (/ -1 (/ (- u1 1) u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (/ (- u1 1) u1) (* 0 (/ (- u1 1) u1)) (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (* (- 1 u1) (/ (- u1 1) u1)) (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* 314159265359/50000000000 u2) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))))
6.0ms	u1	@	0	((/ (- (* u1 u1) 1) (- (neg u1) 1)) (- (* u1 u1) 1) (- (neg u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (+ u1 1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ u1 1))) (/ u1 (+ u1 1)) (+ u1 1) (/ -1 (/ (- u1 1) u1)) (* (sqrt (/ -1 (/ (- u1 1) u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (/ (- u1 1) u1) (* 0 (/ (- u1 1) u1)) (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (* (- 1 u1) (/ (- u1 1) u1)) (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* 314159265359/50000000000 u2) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))))
3.0ms	u1	@	inf	((/ (- (* u1 u1) 1) (- (neg u1) 1)) (- (* u1 u1) 1) (- (neg u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (+ u1 1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ u1 1))) (/ u1 (+ u1 1)) (+ u1 1) (/ -1 (/ (- u1 1) u1)) (* (sqrt (/ -1 (/ (- u1 1) u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (/ (- u1 1) u1) (* 0 (/ (- u1 1) u1)) (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (* (- 1 u1) (/ (- u1 1) u1)) (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* 314159265359/50000000000 u2) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))))
3.0ms	u2	@	-inf	((/ (- (* u1 u1) 1) (- (neg u1) 1)) (- (* u1 u1) 1) (- (neg u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (+ u1 1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ u1 1))) (/ u1 (+ u1 1)) (+ u1 1) (/ -1 (/ (- u1 1) u1)) (* (sqrt (/ -1 (/ (- u1 1) u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (/ (- u1 1) u1) (* 0 (/ (- u1 1) u1)) (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (* (- 1 u1) (/ (- u1 1) u1)) (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* 314159265359/50000000000 u2) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))))
2.0ms	u2	@	0	((/ (- (* u1 u1) 1) (- (neg u1) 1)) (- (* u1 u1) 1) (- (neg u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (+ u1 1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ u1 1))) (/ u1 (+ u1 1)) (+ u1 1) (/ -1 (/ (- u1 1) u1)) (* (sqrt (/ -1 (/ (- u1 1) u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ -1 (/ (- u1 1) u1))) (/ (- u1 1) u1) (* 0 (/ (- u1 1) u1)) (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (* (- 1 u1) (/ (- u1 1) u1)) (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* 314159265359/50000000000 u2) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- (neg u1) 1)))))

simplify168.0ms (1.8%)

Memory

-6.1MiB live, 236.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	419	2235
1	1270	1978
2	4040	1673
0	8061	1572

Stop Event

1×	iter limit
1×	node limit

Counts

117 → 116

Calls

Call 1

Inputs
1
(+ 1 (* -1 u1))
-1
(- (pow u1 2) 1)
(- (* -1 u1) 1)
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(* (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))))))
(+ (* -1/2 (* (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 (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(+ (sqrt u1) (* -1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1))))))))
(* u1 (+ 1 (* -1 u1)))
(* u1 (+ 1 (* u1 (- u1 1))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))
(+ 1 u1)
(* (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)
0
(/ (- (* 2 u1) 1) u1)
(/ (- (* u1 (+ 2 (* -1 u1))) 1) u1)
(- u1 1)
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* -1 (* u1 (+ 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)))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(cos (* 314159265359/50000000000 u2))
(+ (cos (* 314159265359/50000000000 u2)) (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)))
(+ (cos (* 314159265359/50000000000 u2)) (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2)))))
(+ (cos (* 314159265359/50000000000 u2)) (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (+ (* -5/16 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 3))) (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))))))
(- 1 (* 1/2 (/ 1 u1)))
(- (+ 1 (/ 3/8 (pow u1 2))) (* 1/2 (/ 1 u1)))
(- (+ 1 (/ 3/8 (pow u1 2))) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3)))))
(- 1 (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3))))
(* u1 (+ 1 (/ 1 u1)))
(+ (sqrt -1) (* 1/2 (/ (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)))))
(* u1 (- (* 2 (/ 1 u1)) 1))
(* u1 (- (* 2 (/ 1 u1)) (+ 1 (/ 1 (pow u1 2)))))
(* u1 (- 1 (/ 1 u1)))
(* -1 (* u1 (- 1 (/ 1 u1))))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* -1 (/ (+ (* -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)
(* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))
(+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1/2 (cos (* 314159265359/50000000000 u2))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) u1))) u1)) (* -1/2 (cos (* 314159265359/50000000000 u2)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(pow (sqrt -1) 2)
(+ (* 1/2 (/ 1 u1)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) u1)) 1/2) u1)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) u1))) u1)) 1/2) u1)) (pow (sqrt -1) 2))
(+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))
(* -1 (* u1 (- 1 (* 2 (/ 1 u1)))))
(* -1 (* u1 (+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1)))))
(* -1 (* u1 (- (/ 1 u1) 1)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))
(+ (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))))))
(+ (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))))))))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(sqrt (/ u1 (+ 1 u1)))
(+ (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 (- 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))))))))
(* 314159265359/50000000000 u2)
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (+ 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))

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

rewrite169.0ms (1.8%)

Memory

34.3MiB live, 227.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	191
0	65	205
1	226	134
2	1795	129
0	9947	128

Stop Event

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

Counts

22 → 2 078

Calls

Call 1

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

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

eval208.0ms (2.2%)

Memory: 9.9MiB live, 402.7MiB allocated
Compiler: Compiled 38 981 to 6 098 computations (84.4% saved)

prune62.0ms (0.7%)

Memory

-19.7MiB live, 182.0MiB allocated

Pruning

51 alts after pruning (48 fresh and 3 done)

	Pruned	Kept	Total
New	1 277	38	1 315
Fresh	5	10	15
Picked	3	2	5
Done	0	1	1
Total	1 285	51	1 336

Accuracy

99.9%

Counts

1 336 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
▶	98.0%	(.f32 (.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)))
	55.6%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	9.5%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 3 binary32)) (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	68.2%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 3 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	69.6%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (+.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) u1) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) u1) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.8%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32)))) (/.f32 (-.f32 #s(literal -1 binary32) u1) u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	86.0%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) #s(approx (* (- 1 u1) (/ (- u1 1) u1)) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.9%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.9%	(.f32 (sqrt.f32 (/.f32 #s(approx (- ( 0 (/ (- u1 1) u1)) (- 1 u1)) (-.f32 u1 #s(literal 1 binary32))) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	68.2%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	99.0%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.9%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (+.f32 (.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.1%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (- ( u1 u1) 1) #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.0%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.8%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #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 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32)))) (/.f32 (-.f32 #s(literal -1 binary32) u1) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.7%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 (/.f32 (.f32 u1 u1) (.f32 u1 u1)) (/.f32 u1 (.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.9%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.1%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	82.5%	(.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)))
▶	98.8%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	71.9%	(.f32 (sqrt.f32 #s(approx (/ u1 (+ u1 1)) (-.f32 u1 (.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.3%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	96.4%	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.2%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	63.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32)))
	81.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	81.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	81.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	81.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	81.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
▶	81.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
	18.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (fma.f32 #s(literal 1 binary32) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (neg.f32 (/.f32 u1 (-.f32 u1 (/.f32 #s(literal -1 binary32) u1)))))))
	73.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (*.f32 (-.f32 u1 (/.f32 #s(literal -1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1))))))
	-0.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
	63.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 u1 (/.f32 #s(literal -1 binary32) u1)))))
	73.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
✓	81.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	63.4%	#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))))
	-0.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 (/.f32 u1 (-.f32 u1 (/.f32 #s(literal -1 binary32) u1))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
	72.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 u1 (/.f32 #s(literal -1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1))) (/.f32 (.f32 u1 u1) (*.f32 (-.f32 u1 (/.f32 #s(literal -1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1))))))
	63.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
	-0.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) u1))))
	63.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32)) #s(literal 0 binary32))))))
▶	65.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
	63.4%	#s(approx (* (sqrt (/ u1 (+ u1 1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
	63.1%	#s(approx (* (sqrt (/ u1 (+ u1 1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
	63.4%	#s(approx (* (sqrt (/ u1 (+ u1 1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
	20.0%	#s(approx (* (sqrt (/ u1 (+ u1 1))) (cos (* 314159265359/50000000000 u2))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Compiler

Compiled 2 330 to 1 820 computations (21.9% saved)

simplify324.0ms (3.4%)

Memory

4.5MiB live, 176.1MiB 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 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1)))
cost-diff	0	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	224	(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))
cost-diff	0	(neg.f32 (sqrt.f32 u1))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
cost-diff	64	(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	224	(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.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	(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	64	(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
cost-diff	544	(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	285
0	67	318
1	106	313
2	186	309
3	406	309
4	1016	225
5	3025	225
6	5158	225
7	6413	225
8	7132	225
9	7671	225
10	7894	225
0	8003	224

Stop Event

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

Calls

Call 1

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

localize92.0ms (1%)

Memory

-4.1MiB live, 154.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.13671875	(.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	0.15234375	(sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.3359375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.565448779305326	(*.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	0.13671875	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.16015625	(/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))
accuracy	0.28125	(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))
accuracy	0.3359375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.14453125	(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.1796875	(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.395195019536884	(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
accuracy	5.807143724004289	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
accuracy	0.0	(sqrt.f32 u1)
accuracy	5.807143724004289	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
accuracy	8.243151145661727	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
accuracy	0.1328125	(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))))
accuracy	0.13671875	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.3359375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.375	(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))

Samples

63.0ms

256×

valid

Compiler

Compiled 547 to 78 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 14.0ms (31.1% of total)

ival-div: 9.0ms (20% of total)

ival-sqrt: 9.0ms (20% of total)

const: 4.0ms (8.9% of total)

ival-sub: 3.0ms (6.7% of total)

ival-cos: 3.0ms (6.7% of total)

ival-neg: 3.0ms (6.7% 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

-11.4MiB live, 25.2MiB allocated

Counts

21 → 106

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	u1	@	-inf	((/ (- (* u1 u1) 1) (- -1 u1)) (- (* u1 u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- -1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- -1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (neg (sqrt u1)) (/ 1 (neg (sqrt (- 1 u1))))) (/ 1 (neg (sqrt (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (neg (sqrt u1)) (* (/ -1 (- 1 u1)) (neg u1)) (* (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (/ -1 (- 1 u1)) (* (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 (- 1 u1)))
4.0ms	u1	@	inf	((/ (- (* u1 u1) 1) (- -1 u1)) (- (* u1 u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- -1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- -1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (neg (sqrt u1)) (/ 1 (neg (sqrt (- 1 u1))))) (/ 1 (neg (sqrt (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (neg (sqrt u1)) (* (/ -1 (- 1 u1)) (neg u1)) (* (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (/ -1 (- 1 u1)) (* (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 (- 1 u1)))
2.0ms	u1	@	0	((/ (- (* u1 u1) 1) (- -1 u1)) (- (* u1 u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- -1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- -1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (neg (sqrt u1)) (/ 1 (neg (sqrt (- 1 u1))))) (/ 1 (neg (sqrt (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (neg (sqrt u1)) (* (/ -1 (- 1 u1)) (neg u1)) (* (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (/ -1 (- 1 u1)) (* (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 (- 1 u1)))
2.0ms	u2	@	-inf	((/ (- (* u1 u1) 1) (- -1 u1)) (- (* u1 u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- -1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- -1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (neg (sqrt u1)) (/ 1 (neg (sqrt (- 1 u1))))) (/ 1 (neg (sqrt (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (neg (sqrt u1)) (* (/ -1 (- 1 u1)) (neg u1)) (* (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (/ -1 (- 1 u1)) (* (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 (- 1 u1)))
2.0ms	u2	@	inf	((/ (- (* u1 u1) 1) (- -1 u1)) (- (* u1 u1) 1) (* (sqrt (/ u1 (/ (- (* u1 u1) 1) (- -1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (- (* u1 u1) 1) (- -1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (neg (sqrt u1)) (/ 1 (neg (sqrt (- 1 u1))))) (/ 1 (neg (sqrt (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (neg (sqrt u1)) (* (/ -1 (- 1 u1)) (neg u1)) (* (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ -1 (- 1 u1)) (neg u1))) (/ -1 (- 1 u1)) (* (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 (- 1 u1)))

simplify191.0ms (2%)

Memory

4.4MiB live, 151.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	424	2136
1	1239	1906
2	4427	1701
0	8410	1596

Stop Event

1×	iter limit
1×	node limit

Counts

106 → 105

Calls

Call 1

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

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

rewrite263.0ms (2.8%)

Memory

14.0MiB live, 295.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	210
0	67	215
1	185	155
2	1084	153
0	10230	152

Stop Event

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

Counts

21 → 2 155

Calls

Call 1

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

Outputs
(expm1.f32 (fma.f32 (log.f32 u1) #s(literal 1/2 binary32) (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))
(expm1.f32 (*.f32 (log.f32 u1) #s(literal 1 binary32)))
(.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 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 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))
(.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (-.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 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)) #s(literal 1 binary32))))
(.f32 (.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) u1) (-.f32 #s(literal -1 binary32) u1))) (-.f32 #s(literal -1 binary32) u1))
(.f32 (.f32 (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)) (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 1/4 binary32))) (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 1/4 binary32)))
(.f32 (.f32 #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 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))
(.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)) #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))
(*.f32 (neg.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)))
(*.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (/.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(*.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1))))
(*.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1)) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) (-.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (/.f32 (-.f32 #s(literal -1 binary32) u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(*.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) u1)))
(*.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)) #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) u1)))
(*.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) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
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(/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))))
(/.f32 (sqrt.f32 (.f32 u1 (-.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(/.f32 (hypot.f32 (sqrt.f32 u1) u1) (-.f32 #s(literal -1 binary32) u1))
(/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) u1)))
(/.f32 (/.f32 (sqrt.f32 u1) (-.f32 #s(literal -1 binary32) u1)) (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal -1/2 binary32)))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)))
(/.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))))
(/.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)))
(/.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) u1)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fabs.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) u1))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) u1)))
(-.f32 #s(literal 0 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))))
(fma.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal -1/2 binary32)) #s(literal 0 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))))
(pow.f32 (pow.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) u1) #s(literal -2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) u1)) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) u1) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))) #s(literal 1 binary32))
(pow.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) #s(literal 1/2 binary32))
(fabs.f32 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))) #s(literal 0 binary32)))
(fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))))
(+.f32 (*.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal -1/2 binary32)) #s(literal 0 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))))
(+.f32 #s(literal 0 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))))
(exp.f32 (-.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32)) (.f32 (log1p.f32 u1) #s(literal 1/2 binary32))))
(exp.f32 (fma.f32 (log.f32 (sqrt.f32 (-.f32 #s(literal -1 binary32) u1))) #s(literal -1 binary32) (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))
(exp.f32 (fma.f32 (log.f32 u1) #s(literal 1/2 binary32) (*.f32 (log.f32 (sqrt.f32 (-.f32 #s(literal -1 binary32) u1))) #s(literal -1 binary32))))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)))))
(neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(.f32 (.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 1/4 binary32))) (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 1/4 binary32)))
(*.f32 (neg.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 1/4 binary32))) (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (hypot.f32 (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)) u1))
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) (-.f32 #s(literal -1 binary32) u1))) (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)))
(*.f32 (sqrt.f32 (-.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(*.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1/2 binary32)) (hypot.f32 (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)) u1))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)) #s(literal 1/2 binary32)) (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)))
(*.f32 (pow.f32 (-.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)))
(.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 1/4 binary32)) (.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 1/4 binary32)) #s(literal -1 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 1/4 binary32)) (neg.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 1/4 binary32))))
(*.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 3/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 0 binary32))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (hypot.f32 (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)) u1)))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal -1/2 binary32)) (-.f32 #s(literal -1 binary32) u1))
(*.f32 (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)) (sqrt.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) (-.f32 #s(literal -1 binary32) u1))))
(*.f32 (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)) (pow.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32)))
(*.f32 (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)) #s(literal -1 binary32))
(*.f32 (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)) #s(literal 1 binary32))
(*.f32 (-.f32 #s(literal -1 binary32) u1) (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)))
(sqrt.f32 (-.f32 #s(literal -1 binary32) u1))
(/.f32 (*.f32 #s(literal 1 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 #s(literal -1 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 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (neg.f32 (hypot.f32 (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)) u1)))
(/.f32 (neg.f32 (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 (sqrt.f32 (/.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))) (sqrt.f32 (-.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal -3 binary32)))) (hypot.f32 (-.f32 #s(literal -1 binary32) u1) (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))))
(/.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))) (-.f32 #s(literal -1 binary32) u1))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (hypot.f32 (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)) u1))
(/.f32 (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 (sqrt.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (hypot.f32 (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)) u1))
(/.f32 (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 (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 (sqrt.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (*.f32 (-.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) (-.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal -1/2 binary32)))
(/.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 3/2 binary32)) (+.f32 #s(literal 0 binary32) (-.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 0 binary32))))
(/.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 3/2 binary32)) (neg.f32 (+.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 0 binary32))))
(/.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 3/2 binary32)) (+.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 0 binary32)))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (neg.f32 (hypot.f32 (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)) u1)))
(/.f32 (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 (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32)))
(/.f32 (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)) #s(literal -1 binary32))
(/.f32 (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)) #s(literal 1 binary32))
(/.f32 (-.f32 #s(literal -1 binary32) u1) (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)))
(/.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal -1/2 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 0 binary32)) (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 3/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (hypot.f32 (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)) u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal -1/2 binary32)))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 0 binary32))) (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)))
(-.f32 #s(literal 0 binary32) (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)))
(pow.f32 (exp.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal -1/2 binary32)) #s(literal -1 binary32))
(pow.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 1/4 binary32))
(pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) #s(literal -1/2 binary32))
(pow.f32 (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)) #s(literal 1 binary32))
(pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 1/2 binary32))
(+.f32 #s(literal 0 binary32) (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)))
(exp.f32 (neg.f32 (*.f32 (log.f32 (sqrt.f32 (-.f32 #s(literal -1 binary32) u1))) #s(literal -1 binary32))))
(exp.f32 (*.f32 (log1p.f32 u1) #s(literal 1/2 binary32)))
(neg.f32 (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)))

eval182.0ms (1.9%)

Memory: 17.1MiB live, 398.8MiB allocated
Compiler: Compiled 47 617 to 7 659 computations (83.9% saved)

prune132.0ms (1.4%)

Memory

-20.0MiB live, 199.5MiB allocated

Pruning

54 alts after pruning (46 fresh and 8 done)

	Pruned	Kept	Total
New	1 795	10	1 805
Fresh	7	36	43
Picked	0	5	5
Done	0	3	3
Total	1 802	54	1 856

Accuracy

99.9%

Counts

1 856 → 54

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
✓	98.0%	(.f32 (.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)))
	56.6%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	9.2%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 3 binary32)) (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	68.2%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 3 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	69.6%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (+.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) u1) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) u1) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.8%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32)))) (/.f32 (-.f32 #s(literal -1 binary32) u1) u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	86.0%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) #s(approx (* (- 1 u1) (/ (- u1 1) u1)) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.9%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.9%	(.f32 (sqrt.f32 (/.f32 #s(approx (- ( 0 (/ (- u1 1) u1)) (- 1 u1)) (-.f32 u1 #s(literal 1 binary32))) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	68.5%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.0%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.9%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (+.f32 (.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	99.0%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 (-.f32 #s(literal -1 binary32) u1) (.f32 (-.f32 #s(literal -1 binary32) u1) (neg.f32 u1))) (-.f32 #s(literal -1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.0%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.8%	(.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)))
	98.6%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32)))) (/.f32 (-.f32 #s(literal -1 binary32) u1) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.7%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 (/.f32 (.f32 u1 u1) (.f32 u1 u1)) (/.f32 u1 (.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.1%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	82.1%	(.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)))
✓	98.8%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.1%	(.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	71.9%	(.f32 (sqrt.f32 #s(approx (/ u1 (+ u1 1)) (-.f32 u1 (.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.3%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	96.4%	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.2%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	81.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	81.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
▶	81.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	81.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	80.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (neg.f32 u1) (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
	80.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
	81.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
	73.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 (-.f32 #s(literal -1 binary32) u1) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))))))
	4.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))) (-.f32 #s(literal -1 binary32) u1))))))
✓	81.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
	65.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))))
	4.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)))))
	18.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (fma.f32 #s(literal 1 binary32) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (neg.f32 (/.f32 u1 (-.f32 u1 (/.f32 #s(literal -1 binary32) u1)))))))
	73.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (*.f32 (-.f32 u1 (/.f32 #s(literal -1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1))))))
	63.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 u1 (/.f32 #s(literal -1 binary32) u1)))))
	73.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
✓	81.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	63.4%	#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))))
	-0.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 (/.f32 u1 (-.f32 u1 (/.f32 #s(literal -1 binary32) u1))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
	72.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 u1 (/.f32 #s(literal -1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1))) (/.f32 (.f32 u1 u1) (*.f32 (-.f32 u1 (/.f32 #s(literal -1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1))))))
	63.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
	-0.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) u1))))
▶	64.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 u1 (sqrt.f32 u1))))
	64.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 u1))))))
✓	65.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
	62.9%	#s(approx (* (sqrt (/ u1 (+ u1 1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
	63.4%	#s(approx (* (sqrt (/ u1 (+ u1 1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
	20.0%	#s(approx (* (sqrt (/ u1 (+ u1 1))) (cos (* 314159265359/50000000000 u2))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Compiler

Compiled 2 395 to 1 858 computations (22.4% saved)

simplify155.0ms (1.7%)

Memory

27.2MiB live, 179.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))))
cost-diff	0	(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)))))
cost-diff	0	(.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)))
cost-diff	64	(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
cost-diff	0	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
cost-diff	768	(fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(*.f32 u2 u2)
cost-diff	0	(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
cost-diff	0	(.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(/.f32 u1 (sqrt.f32 u1))
cost-diff	0	#s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 u1 (sqrt.f32 u1)))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 u1 (sqrt.f32 u1))))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 (-.f32 #s(literal -1 binary32) u1) (.f32 (-.f32 #s(literal -1 binary32) u1) (neg.f32 u1))) (-.f32 #s(literal -1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	128	(*.f32 (-.f32 #s(literal -1 binary32) u1) (neg.f32 u1))
cost-diff	192	(+.f32 (-.f32 #s(literal -1 binary32) u1) (*.f32 (-.f32 #s(literal -1 binary32) u1) (neg.f32 u1)))
cost-diff	544	(/.f32 (+.f32 (-.f32 #s(literal -1 binary32) u1) (*.f32 (-.f32 #s(literal -1 binary32) u1) (neg.f32 u1))) (-.f32 #s(literal -1 binary32) u1))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	400
0	79	471
1	125	435
2	242	426
3	556	342
4	1653	342
5	5365	342
0	8020	333

Stop Event

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

Calls

Call 1

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

localize121.0ms (1.3%)

Memory

-12.1MiB live, 219.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(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)))))
accuracy	0.2109375	(/.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
accuracy	0.3359375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	4.153234235430822	(fma.f32 u1 u1 #s(literal 1 binary32))
accuracy	0.39291000976844204	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
accuracy	2.2329144801736667	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
accuracy	4.747611979695245	(fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
accuracy	5.780169785266004	(fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.1328125	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.1328125	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy	3.223868766451502	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
accuracy	6.124180256382686	(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
accuracy	0.0	(sqrt.f32 u1)
accuracy	0.50390625	(/.f32 u1 (sqrt.f32 u1))
accuracy	5.807143724004289	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 u1 (sqrt.f32 u1))))
accuracy	8.243151145661727	#s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 u1 (sqrt.f32 u1)))
accuracy	0.296875	(*.f32 (-.f32 #s(literal -1 binary32) u1) (neg.f32 u1))
accuracy	0.3261400511575378	(+.f32 (-.f32 #s(literal -1 binary32) u1) (*.f32 (-.f32 #s(literal -1 binary32) u1) (neg.f32 u1)))
accuracy	0.3359375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.375	(/.f32 (+.f32 (-.f32 #s(literal -1 binary32) u1) (*.f32 (-.f32 #s(literal -1 binary32) u1) (neg.f32 u1))) (-.f32 #s(literal -1 binary32) u1))

Samples

90.0ms

256×

valid

Compiler

Compiled 758 to 92 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 24.0ms (33.9% of total)

const: 12.0ms (16.9% of total)

ival-div: 10.0ms (14.1% of total)

ival-sqrt: 8.0ms (11.3% of total)

ival-add: 7.0ms (9.9% of total)

ival-sub: 5.0ms (7.1% of total)

ival-cos: 3.0ms (4.2% of total)

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

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

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

exact: 0.0ms (0% of total)

series42.0ms (0.4%)

Memory

2.7MiB live, 81.9MiB allocated

Counts

25 → 138

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	u2	@	inf	((/ (+ (- -1 u1) (* (- -1 u1) (neg u1))) (- -1 u1)) (+ (- -1 u1) (* (- -1 u1) (neg u1))) (* (- -1 u1) (neg u1)) (* (sqrt (/ u1 (/ (+ (- -1 u1) (* (- -1 u1) (neg u1))) (- -1 u1)))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (sqrt u1)) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt (/ u1 (- 1 u1)))) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (* u2 u2) (+ (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000)) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000)) (sqrt (/ u1 (- 1 u1))) (+ -1 (* u1 u1)) (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1)))) (* 314159265359/50000000000 u2) (/ u1 (- 1 u1)) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (+ (* u1 u1) 1) (/ (* u1 u1) (+ (* u1 u1) 1)))
7.0ms	u1	@	inf	((/ (+ (- -1 u1) (* (- -1 u1) (neg u1))) (- -1 u1)) (+ (- -1 u1) (* (- -1 u1) (neg u1))) (* (- -1 u1) (neg u1)) (* (sqrt (/ u1 (/ (+ (- -1 u1) (* (- -1 u1) (neg u1))) (- -1 u1)))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (sqrt u1)) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt (/ u1 (- 1 u1)))) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (* u2 u2) (+ (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000)) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000)) (sqrt (/ u1 (- 1 u1))) (+ -1 (* u1 u1)) (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1)))) (* 314159265359/50000000000 u2) (/ u1 (- 1 u1)) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (+ (* u1 u1) 1) (/ (* u1 u1) (+ (* u1 u1) 1)))
7.0ms	u1	@	-inf	((/ (+ (- -1 u1) (* (- -1 u1) (neg u1))) (- -1 u1)) (+ (- -1 u1) (* (- -1 u1) (neg u1))) (* (- -1 u1) (neg u1)) (* (sqrt (/ u1 (/ (+ (- -1 u1) (* (- -1 u1) (neg u1))) (- -1 u1)))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (sqrt u1)) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt (/ u1 (- 1 u1)))) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (* u2 u2) (+ (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000)) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000)) (sqrt (/ u1 (- 1 u1))) (+ -1 (* u1 u1)) (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1)))) (* 314159265359/50000000000 u2) (/ u1 (- 1 u1)) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (+ (* u1 u1) 1) (/ (* u1 u1) (+ (* u1 u1) 1)))
4.0ms	u2	@	-inf	((/ (+ (- -1 u1) (* (- -1 u1) (neg u1))) (- -1 u1)) (+ (- -1 u1) (* (- -1 u1) (neg u1))) (* (- -1 u1) (neg u1)) (* (sqrt (/ u1 (/ (+ (- -1 u1) (* (- -1 u1) (neg u1))) (- -1 u1)))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (sqrt u1)) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt (/ u1 (- 1 u1)))) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (* u2 u2) (+ (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000)) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000)) (sqrt (/ u1 (- 1 u1))) (+ -1 (* u1 u1)) (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1)))) (* 314159265359/50000000000 u2) (/ u1 (- 1 u1)) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (+ (* u1 u1) 1) (/ (* u1 u1) (+ (* u1 u1) 1)))
4.0ms	u1	@	0	((/ (+ (- -1 u1) (* (- -1 u1) (neg u1))) (- -1 u1)) (+ (- -1 u1) (* (- -1 u1) (neg u1))) (* (- -1 u1) (neg u1)) (* (sqrt (/ u1 (/ (+ (- -1 u1) (* (- -1 u1) (neg u1))) (- -1 u1)))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (sqrt u1)) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt (/ u1 (- 1 u1)))) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (* u2 u2) (+ (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000)) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000)) (sqrt (/ u1 (- 1 u1))) (+ -1 (* u1 u1)) (* (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1))))) (- (/ (* u1 u1) (+ (* u1 u1) 1)) (/ u1 (+ -1 (* u1 u1)))) (* 314159265359/50000000000 u2) (/ u1 (- 1 u1)) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (+ (* u1 u1) 1) (/ (* u1 u1) (+ (* u1 u1) 1)))

simplify271.0ms (2.9%)

Memory

12.4MiB live, 250.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	559	3726
1	1774	3283
2	6380	2864
0	8133	2631

Stop Event

1×	iter limit
1×	node limit

Counts

138 → 137

Calls

Call 1

Inputs
1
(+ 1 (* -1 u1))
-1
(- (pow u1 2) 1)
u1
(* 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) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
(+ (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))))
(+ (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))))))
(+ (sqrt u1) (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))
(+ (sqrt u1) (+ (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))))
(+ (sqrt u1) (+ (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))))))))
(+ (sqrt u1) (+ (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (- 1 (* 1/4 (/ 1 u1))) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) (* 1/2 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1)))))))))))))))
(* (sqrt u1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))
(+ (* 1/2 (* (sqrt (pow u1 3)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (sqrt u1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ (* (sqrt u1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* 1/2 (* (sqrt (/ 1 u1)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))
(+ (* (sqrt u1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (- 1 (* 1/4 (/ 1 u1))) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* 1/2 (* (sqrt (/ 1 u1)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))))
(+ (* (sqrt u1) (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) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1))))))))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 (* -1 u1)))))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(+ 1 (pow u1 2))
(pow u1 2)
(* (pow u1 2) (+ 1 (* -1 (pow u1 2))))
(* (pow u1 2) (+ 1 (* (pow u1 2) (- (pow u1 2) 1))))
(* (pow u1 2) (+ 1 (* (pow u1 2) (- (* (pow u1 2) (+ 1 (* -1 (pow u1 2)))) 1))))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
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(- 1 (* 1/2 (/ 1 u1)))
(+ 1 (* -1 (/ (+ 1/2 (* 5/8 (/ 1 u1))) u1)))
(- (+ 1 (* -1 (/ (+ 5/8 (* 13/16 (/ 1 u1))) (pow u1 2)))) (* 1/2 (/ 1 u1)))
(- 1 (/ 1 u1))
(+ 1 (* -1 (/ (+ 1 (/ 1 u1)) u1)))
(- (+ 1 (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2)))) (/ 1 u1))
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 (pow u1 2))))
(- 1 (/ 1 (pow u1 2)))
(- (+ 1 (/ 1 (pow u1 4))) (/ 1 (pow u1 2)))
(- (+ 1 (/ 1 (pow u1 4))) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 6))))
(* -1 (* u1 (- 1 (/ 1 u1))))
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(+ (* -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 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* 1/2 (/ (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) u1)) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* -3/8 (/ (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) u1))) u1)) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))) u1)) (* 3/8 (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))) u1)) (* -1/2 (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))) u1)) (* (sqrt -1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
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(+ (sqrt -1) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (sqrt -1)) (* 3/8 (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) u1)) (+ (* -1/2 (sqrt -1)) (* -1/2 (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))) u1)) (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
(+ (sqrt -1) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -5/16 (sqrt -1)) (* -5/16 (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) u1)) (+ (* 3/8 (sqrt -1)) (* 3/8 (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))) u1)) (+ (* -1/2 (sqrt -1)) (* -1/2 (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))) u1)) (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
(+ (* 1/2 (/ (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) u1)) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* -3/8 (/ (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) u1))) u1)) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) u1)) (* 3/8 (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) u1)) (* -1/2 (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) u1)) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* 1/2 (cos (* 314159265359/50000000000 u2))) (* 5/8 (/ (cos (* 314159265359/50000000000 u2)) u1))) u1)))
(+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* -13/16 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* -5/8 (cos (* 314159265359/50000000000 u2)))) u1)) (* 1/2 (cos (* 314159265359/50000000000 u2)))) u1)))
(+ 1 (* -1 (/ (+ 1/2 (+ (/ 13/16 (pow u1 2)) (* 5/8 (/ 1 u1)))) u1)))
(+ 1 (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* (sqrt (/ (* u1 (+ 1 u1)) (- (* u1 (+ 1 u1)) (+ 1 u1)))) (sqrt -1))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (* u1 (+ 1 u1)) (+ 1 u1)))) (* (pow u2 2) (sqrt -1)))) (* (sqrt (/ (* u1 (+ 1 u1)) (- (* u1 (+ 1 u1)) (+ 1 u1)))) (sqrt -1)))
(+ (* (sqrt (/ (* u1 (+ 1 u1)) (- (* u1 (+ 1 u1)) (+ 1 u1)))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (* u1 (+ 1 u1)) (+ 1 u1)))) (sqrt -1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (* u1 (+ 1 u1)) (+ 1 u1)))) (* (pow u2 2) (sqrt -1)))))))
(+ (* (sqrt (/ (* u1 (+ 1 u1)) (- (* u1 (+ 1 u1)) (+ 1 u1)))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (* u1 (+ 1 u1)) (+ 1 u1)))) (sqrt -1))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (* u1 (+ 1 u1)) (+ 1 u1)))) (* (pow u2 2) (sqrt -1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (* u1 (+ 1 u1)) (+ 1 u1)))) (sqrt -1))))))))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
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(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(pow u2 2)
(* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))
(+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))
(+ (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))))
(+ (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))))))
(+ (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1))))))))))
(* 314159265359/50000000000 u2)
-98696044010906577398881/5000000000000000000000
(- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)
(* (sqrt (/ (* u1 (+ 1 u1)) (- (* u1 (+ 1 u1)) (+ 1 u1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4)))
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4))))))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (- (/ (pow u1 2) (+ 1 (pow u1 2))) (/ u1 (- (pow u1 2) 1)))))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))

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

rewrite270.0ms (2.9%)

Memory

-13.1MiB live, 176.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	302
0	79	300
1	279	291
2	2310	287
0	9046	283

Stop Event

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

Counts

25 → 679

Calls

Call 1

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

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

eval167.0ms (1.8%)

Memory: 13.1MiB live, 168.8MiB allocated
Compiler: Compiled 36 650 to 4 191 computations (88.6% saved)

prune81.0ms (0.9%)

Memory

18.7MiB live, 104.7MiB allocated

Pruning

57 alts after pruning (46 fresh and 11 done)

	Pruned	Kept	Total
New	949	14	963
Fresh	9	32	41
Picked	2	3	5
Done	0	8	8
Total	960	57	1 017

Accuracy

99.9%

Counts

1 017 → 57

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
✓	98.0%	(.f32 (.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)))
	86.8%	(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	55.8%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	9.2%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 3 binary32)) (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	68.2%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 3 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	69.6%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (+.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) u1) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) u1) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.8%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32)))) (/.f32 (-.f32 #s(literal -1 binary32) u1) u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	86.0%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) #s(approx (* (- 1 u1) (/ (- u1 1) u1)) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.9%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	68.6%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.0%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.9%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (+.f32 (.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	99.0%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal -1 binary32) (+.f32 u1 (.f32 (-.f32 #s(literal -1 binary32) u1) u1))) (-.f32 #s(literal -1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.0%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.8%	(.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)))
	74.1%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.0%	(.f32 (sqrt.f32 (-.f32 #s(approx (/ ( u1 u1) (+ (* u1 u1) 1)) (.f32 u1 u1)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.8%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.1%	(.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	71.9%	(.f32 (sqrt.f32 #s(approx (/ u1 (+ u1 1)) (-.f32 u1 (.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.3%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	96.4%	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.2%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (neg.f32 (.f32 (sqrt.f32 u1) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	81.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (+.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
✓	81.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	4.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2))))
	81.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	89.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	89.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	81.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))))
✓	81.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	81.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))))
	89.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32))) (-.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	81.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	89.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	4.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))) (-.f32 #s(literal -1 binary32) u1))))))
✓	81.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
	65.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))))
	4.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)))))
	4.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 #s(approx (+ ( (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	18.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (fma.f32 #s(literal 1 binary32) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (neg.f32 (/.f32 u1 (-.f32 u1 (/.f32 #s(literal -1 binary32) u1)))))))
	63.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 u1 (/.f32 #s(literal -1 binary32) u1)))))
	73.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (*.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
✓	81.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	63.4%	#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))))
	-0.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 (/.f32 u1 (-.f32 u1 (/.f32 #s(literal -1 binary32) u1))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
	63.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
	-0.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) u1))))
✓	64.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 u1 (sqrt.f32 u1))))
	64.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 u1))))))
	64.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 u1))))))
✓	65.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
	62.9%	#s(approx (* (sqrt (/ u1 (+ u1 1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
	63.4%	#s(approx (* (sqrt (/ u1 (+ u1 1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
	20.0%	#s(approx (* (sqrt (/ u1 (+ u1 1))) (cos (* 314159265359/50000000000 u2))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Compiler

Compiled 3 458 to 1 506 computations (56.4% saved)

regimes239.0ms (2.5%)

Memory

-38.7MiB live, 242.9MiB allocated

Counts

83 → 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))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 u1 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (+ u1 1))) (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 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.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) u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 u1 (/.f32 #s(literal -1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 #s(approx (+ ( (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (+ u1 1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (*.f32 (-.f32 u1 (/.f32 #s(literal -1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (neg.f32 u1) (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 (/.f32 u1 (-.f32 u1 (/.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))) (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 (-.f32 #s(literal -1 binary32) u1) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (fma.f32 #s(literal 1 binary32) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (neg.f32 (/.f32 u1 (-.f32 u1 (/.f32 #s(literal -1 binary32) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))) (-.f32 #s(literal -1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (+ u1 1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 u1 (/.f32 #s(literal -1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1))) (/.f32 (.f32 u1 u1) (*.f32 (-.f32 u1 (/.f32 #s(literal -1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (neg.f32 (.f32 (sqrt.f32 u1) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2))))
#s(approx (* (sqrt (/ u1 (+ u1 1))) (cos (* 314159265359/50000000000 u2))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (+.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (+ u1 1)) (-.f32 u1 (.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) 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 (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 #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 u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (-.f32 #s(approx (/ ( u1 u1) (+ (* u1 u1) 1)) (.f32 u1 u1)) (/.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(approx (- ( u1 u1) 1) #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(.f32 (sqrt.f32 (/.f32 #s(approx (- ( 0 (/ (- u1 1) u1)) (- 1 u1)) (-.f32 u1 #s(literal 1 binary32))) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal -1 binary32) (+.f32 u1 (.f32 (-.f32 #s(literal -1 binary32) u1) u1))) (-.f32 #s(literal -1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 (-.f32 #s(literal -1 binary32) u1) (.f32 (-.f32 #s(literal -1 binary32) u1) (neg.f32 u1))) (-.f32 #s(literal -1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32))) (-.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1))) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (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 u1 (/.f32 (-.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) #s(approx (* (- 1 u1) (/ (- u1 1) u1)) (-.f32 #s(literal 2 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 (.f32 u1 u1) (.f32 u1 u1)) (/.f32 u1 (.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (+.f32 (.f32 u1 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (+.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) u1) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) u1) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32)) #s(literal 1/4 binary32)))
(.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) #s(literal 2 binary32)) #s(literal 0 binary32))))))
(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32)))) (/.f32 (-.f32 #s(literal -1 binary32) u1) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 3 binary32)) (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32)) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 u1 u1))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 3 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -2 binary32)))) (/.f32 (-.f32 #s(literal -1 binary32) 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 (exp.f32 (.f32 (log.f32 (pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal -2 binary32))) #s(literal 1/4 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -2 binary32)) (pow.f32 (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32))) (+.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs

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

Calls

8 calls:

63.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
35.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
30.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
23.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
21.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
99.0%	1	`cosTheta_i`
99.0%	1	`u1`
99.0%	1	`u2`
99.0%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
99.0%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
99.0%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
99.0%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
99.0%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes120.0ms (1.3%)

Memory

40.8MiB live, 198.8MiB allocated

Counts

58 → 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))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 u1 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (+ u1 1))) (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 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.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) u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 u1 (/.f32 #s(literal -1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 #s(approx (+ ( (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (+ u1 1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (sqrt.f32 u1) (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (neg.f32 (*.f32 (-.f32 u1 (/.f32 #s(literal -1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 (neg.f32 u1) (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 (/.f32 u1 (-.f32 u1 (/.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))) (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 (-.f32 #s(literal -1 binary32) u1) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (fma.f32 #s(literal 1 binary32) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (neg.f32 (/.f32 u1 (-.f32 u1 (/.f32 #s(literal -1 binary32) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1))) (-.f32 #s(literal -1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (+ u1 1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 u1 (/.f32 #s(literal -1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1))) (/.f32 (.f32 u1 u1) (*.f32 (-.f32 u1 (/.f32 #s(literal -1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (neg.f32 (.f32 (sqrt.f32 u1) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2))))
#s(approx (* (sqrt (/ u1 (+ u1 1))) (cos (* 314159265359/50000000000 u2))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (+.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (+ u1 1)) (-.f32 u1 (.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) #s(approx (/ (- u1 1) u1) (/.f32 #s(literal -1 binary32) 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 (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 #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 u1 #s(literal 1 binary32)) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (-.f32 #s(approx (/ ( u1 u1) (+ (* u1 u1) 1)) (.f32 u1 u1)) (/.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(approx (- ( u1 u1) 1) #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(.f32 (sqrt.f32 (/.f32 #s(approx (- ( 0 (/ (- u1 1) u1)) (- 1 u1)) (-.f32 u1 #s(literal 1 binary32))) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #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)))

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
99.0%	1	`u1`
99.0%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
99.0%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
99.0%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
99.0%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
99.0%	1	`cosTheta_i`
99.0%	1	`u2`
99.0%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes97.0ms (1%)

Memory

3.8MiB live, 200.0MiB allocated

Counts

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

Outputs

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

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

Calls

8 calls:

13.0ms	u2
12.0ms	u1
12.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
11.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
11.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Results

Accuracy	Segments	Branch
89.5%	1	`cosTheta_i`
96.0%	2	`u1`
96.7%	2	`u2`
96.2%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
96.0%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
96.0%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
96.7%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
96.7%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes85.0ms (0.9%)

Memory

-9.6MiB live, 149.6MiB allocated

Counts

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

Outputs

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

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

Calls

7 calls:

17.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
12.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
11.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
11.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
11.0ms	u2

Results

Accuracy	Segments	Branch
93.1%	2	`u1`
93.1%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
93.1%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
93.7%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
94.7%	2	`u2`
94.6%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
94.7%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 31 to 41 computations (-32.3% saved)

regimes79.0ms (0.8%)

Memory

-0.3MiB live, 118.1MiB allocated

Counts

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

Outputs

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

Calls

7 calls:

14.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
11.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
11.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
10.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
10.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
89.5%	1	`u1`
89.5%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
89.5%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
89.5%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
89.5%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
89.5%	1	`u2`
89.5%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 31 to 41 computations (-32.3% saved)

regimes74.0ms (0.8%)

Memory

-9.4MiB live, 102.6MiB allocated

Counts

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

Outputs

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

Calls

8 calls:

11.0ms	u1
11.0ms	cosTheta_i
11.0ms	(cos.f32 (*.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	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
89.5%	1	`cosTheta_i`
89.5%	1	`u2`
89.5%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
89.5%	1	`u1`
89.5%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
89.5%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
89.5%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
89.5%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes48.0ms (0.5%)

Memory

-11.0MiB live, 71.5MiB allocated

Counts

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

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

Calls

8 calls:

9.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
5.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
5.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
5.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
5.0ms	u1

Results

Accuracy	Segments	Branch
81.6%	1	`cosTheta_i`
81.6%	1	`u1`
81.6%	1	`u2`
81.6%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
81.6%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
81.6%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
81.6%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
81.6%	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)

regimes13.0ms (0.1%)

Memory

28.2MiB live, 28.2MiB allocated

Accuracy

Total -0.6b remaining (-5.3%)

Threshold costs -0.6b (-5.3%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
65.0%	1	`u1`
65.0%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
65.0%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
65.0%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
65.0%	1	`u2`
65.0%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
65.0%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
65.0%	1	`cosTheta_i`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0881369337439537	0.09091975539922714

Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.31217262148857117	0.3453578054904938

Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify93.0ms (1%)

Memory

-6.6MiB live, 69.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	234
1	65	234
2	79	234
3	101	234
4	128	234
5	165	234
6	269	234
7	508	234
8	4749	234
9	7014	234

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal -1 binary32) (+.f32 u1 (.f32 (-.f32 #s(literal -1 binary32) u1) u1))) (-.f32 #s(literal -1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3019899/33554432 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5368709/16777216 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal -1 binary32) (+.f32 u1 (.f32 (-.f32 #s(literal -1 binary32) u1) u1))) (-.f32 #s(literal -1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 u1 (.f32 (-.f32 #s(literal -1 binary32) u1) u1))) (+.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3019899/33554432 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- 1 u1)) (-.f32 #s(literal -1 binary32) u1)) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5368709/16777216 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))

soundness1.8s (19.1%)

Memory

8.0MiB live, 796.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	210
0	67	215
1	185	155
2	1084	153
0	10230	152
0	46	302
0	79	300
1	279	291
2	2310	287
0	9046	283
0	180	750
1	523	661
2	1559	593
3	4816	545
0	8111	519
0	10	28
0	16	28
1	46	28
2	237	28
3	1954	28
0	9734	28
0	419	2235
1	1270	1978
2	4040	1673
0	8061	1572
0	424	2136
1	1239	1906
2	4427	1701
0	8410	1596
0	39	191
0	65	205
1	226	134
2	1795	129
0	9947	128

Stop Event

1×	fuel
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×	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

Compiler

Compiled 485 to 256 computations (47.2% saved)

preprocess118.0ms (1.3%)

Memory

18.8MiB live, 102.3MiB allocated

Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 742 to 338 computations (54.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

start0.0ms (0%)

analyze282.0ms (3%)

sample2.0s (21.1%)

explain192.0ms (2%)

preprocess39.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize64.0ms (0.7%)

series8.0ms (0.1%)

simplify298.0ms (3.2%)

rewrite185.0ms (2%)

eval160.0ms (1.7%)

prune39.0ms (0.4%)

simplify249.0ms (2.6%)

localize190.0ms (2%)

series28.0ms (0.3%)

simplify168.0ms (1.8%)

rewrite169.0ms (1.8%)

eval208.0ms (2.2%)

prune62.0ms (0.7%)

simplify324.0ms (3.4%)

localize92.0ms (1%)

series22.0ms (0.2%)

simplify191.0ms (2%)

rewrite263.0ms (2.8%)

eval182.0ms (1.9%)

prune132.0ms (1.4%)

simplify155.0ms (1.7%)

localize121.0ms (1.3%)

series42.0ms (0.4%)

simplify271.0ms (2.9%)

rewrite270.0ms (2.9%)

eval167.0ms (1.8%)

prune81.0ms (0.9%)

regimes239.0ms (2.5%)

regimes120.0ms (1.3%)

regimes97.0ms (1%)

regimes85.0ms (0.9%)

regimes79.0ms (0.8%)

regimes74.0ms (0.8%)

regimes48.0ms (0.5%)

regimes13.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify93.0ms (1%)

soundness1.8s (19.1%)

preprocess118.0ms (1.3%)

end0.0ms (0%)

Profiling

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

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