Metrics for Trowbridge-Reitz Sample, near normal, slope

analyze255.0ms (1.7%)

Memory

28.0MiB live, 388.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 35 to 25 computations (28.6% saved)

sample1.9s (13%)

Memory

-99.9MiB live, 2 739.3MiB allocated

Samples

1.6s	8 256×	0	valid
0.0ms	2×	0	invalid

Precisions

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

const: 623.0ms (49.9% of total)

ival-<=: 156.0ms (12.5% of total)

ival-cos: 110.0ms (8.8% of total)

ival-mult: 96.0ms (7.7% of total)

ival-sqrt: 71.0ms (5.7% of total)

ival-div: 70.0ms (5.6% of total)

ival-sub: 47.0ms (3.8% of total)

ival->: 39.0ms (3.1% of total)

ival-and: 31.0ms (2.5% of total)

exact: 5.0ms (0.4% of total)

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

Bogosity

preprocess33.0ms (0.2%)

Memory

16.2MiB live, 55.7MiB allocated

Algorithm

2×	egg-herbie

Rules

138×	`sub-neg`
100×	`associate-l`
80×	`distribute-lft-in`
78×	`*-commutative`
74×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	117
1	78	115
2	128	115
3	215	113
4	361	113
5	611	113
6	775	113
7	871	113
8	910	113
9	930	113
10	934	113
0	10	11
1	16	11
2	20	11
3	25	11
4	32	11
5	42	11
6	57	11
7	80	11
8	102	11
9	110	11
10	112	11
0	112	11

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))

Outputs
(* (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)))

Call 2

Inputs
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ (neg u1) (- 1 (neg u1)))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 (neg u2))))
(neg (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))))
(neg (* (sqrt (/ (neg u1) (- 1 (neg u1)))) (cos (* 314159265359/50000000000 u2))))
(neg (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 (neg u2)))))
(* (sqrt (/ cosTheta_i (- 1 cosTheta_i))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 cosTheta_i)))
(* (sqrt (/ u2 (- 1 u2))) (cos (* 314159265359/50000000000 u1)))

Outputs
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ (neg u1) (- 1 (neg u1)))) (cos (* 314159265359/50000000000 u2)))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- -1 u1))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 (neg u2))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(neg (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))))
(* (cos (* 314159265359/50000000000 u2)) (neg (sqrt (/ u1 (- 1 u1)))))
(neg (* (sqrt (/ (neg u1) (- 1 (neg u1)))) (cos (* 314159265359/50000000000 u2))))
(* (cos (* 314159265359/50000000000 u2)) (neg (sqrt (/ u1 (- -1 u1)))))
(neg (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 (neg u2)))))
(* (cos (* 314159265359/50000000000 u2)) (neg (sqrt (/ u1 (- 1 u1)))))
(* (sqrt (/ cosTheta_i (- 1 cosTheta_i))) (cos (* 314159265359/50000000000 u2)))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ cosTheta_i (- 1 cosTheta_i))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 cosTheta_i)))
(* (sqrt (/ u2 (- 1 u2))) (cos (* 314159265359/50000000000 u1)))
(* (sqrt (/ u2 (- 1 u2))) (cos (* u1 314159265359/50000000000)))

Symmetry

(abs cosTheta_i)

(abs u2)

explain186.0ms (1.3%)

Memory

-20.9MiB live, 224.4MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	3	253

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

77.0ms

512×

valid

Compiler

Compiled 104 to 48 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

const: 38.0ms (62.3% of total)

ival-mult: 6.0ms (9.8% of total)

ival-cos: 6.0ms (9.8% of total)

ival-div: 4.0ms (6.6% of total)

ival-sub: 4.0ms (6.6% of total)

ival-sqrt: 3.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify7.0ms (0%)

Memory

12.3MiB live, 12.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

36×	`+-lowering-+.f64`
36×	`+-lowering-+.f32`
26×	`--lowering--.f32`
26×	`sub-neg`
26×	`--lowering--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	16	36
2	20	36
3	25	36
4	32	36
5	42	36
6	57	36
7	80	36
8	102	36
9	110	36
10	112	36
0	112	36

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(sqrt (/ u1 (- 1 u1)))
(/ u1 (- 1 u1))
u1
(- 1 u1)
1
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2

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

localize35.0ms (0.2%)

Memory

-4.9MiB live, 35.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
✓	accuracy	99.5%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	accuracy	99.3%	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓	accuracy	98.9%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

25.0ms

256×

valid

Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions

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

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

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

const: 3.0ms (21.2% of total)

ival-div: 2.0ms (14.1% of total)

ival-sqrt: 2.0ms (14.1% of total)

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

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

5 → 72

Calls

Call 1

Inputs
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (sqrt (/ u1 (- 1 u1)))>
#<alt (/ u1 (- 1 u1))>
#<alt (- 1 u1)>
#<alt (* 314159265359/50000000000 u2)>

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

Calls

18 calls:

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

rewrite449.0ms (3%)

Memory

8.5MiB live, 483.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 704×	`/-lowering-/.f32`
3 704×	`/-lowering-/.f64`
3 286×	`-lowering-.f32`
3 286×	`-lowering-.f64`
2 456×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	40	28
2	231	28
3	1947	28
0	9665	28

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 520

Calls

Call 1

Inputs
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(sqrt (/ u1 (- 1 u1)))
(/ u1 (- 1 u1))
(- 1 u1)
(* 314159265359/50000000000 u2)

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

simplify657.0ms (4.4%)

Memory

-14.9MiB live, 650.2MiB allocated

Algorithm

1×	egg-herbie

Rules

21 824×	`accelerator-lowering-fma.f32`
21 824×	`accelerator-lowering-fma.f64`
6 728×	`-lowering-.f32`
6 728×	`-lowering-.f64`
4 106×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	906
1	523	815
2	1543	747
3	4760	699
0	8231	673

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

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

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

eval83.0ms (0.6%)

Memory: 8.0MiB live, 123.5MiB allocated
Compiler: Compiled 17 246 to 2 516 computations (85.4% saved)

prune156.0ms (1.1%)

Memory

26.7MiB live, 143.7MiB allocated

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	564	28	592
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	564	29	593

Accuracy

99.9%

Counts

593 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
	93.7%	(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (+.f32 (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (.f32 (.f32 u2 u2) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))
	97.9%	(.f32 (pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.9%	(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	98.8%	(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.8%	(.f32 (pow.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	72.8%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	88.8%	(.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))))
▶	87.6%	(.f32 (+.f32 (sqrt.f32 u1) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	89.5%	(.f32 (.f32 (pow.f32 (pow.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) #s(literal 2 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	86.0%	(.f32 (.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 u1 (.f32 u1 u1))) #s(literal -1/2 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	86.0%	(.f32 (.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 u1)) u1) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal -1/2 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	86.1%	(.f32 (.f32 (pow.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal 1/2 binary32)) (pow.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1/2 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	95.6%	(.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.8%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (+.f32 u1 #s(literal 1 binary32)) (.f32 (+.f32 u1 #s(literal 1 binary32)) (.f32 u1 u1))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.8%	(.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)))
	94.8%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.8%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
✓	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.7%	(.f32 (sqrt.f32 (.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 u1)) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.9%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.8%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.3%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	91.2%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	76.7%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	96.1%	(.f32 (exp.f32 (.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	81.0%	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Compiler

Compiled 1 288 to 855 computations (33.6% saved)

simplify461.0ms (3.1%)

Memory

-43.6MiB live, 609.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (*.f32 u1 u1))))
✓	cost-diff	0	(sqrt.f32 u1)
✓	cost-diff	0	(+.f32 (sqrt.f32 u1) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (*.f32 u1 u1)))))
✓	cost-diff	0	(.f32 (+.f32 (sqrt.f32 u1) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	cost-diff	0	(sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))
✓	cost-diff	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	cost-diff	128	(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))
✓	cost-diff	192	(/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))
✓	cost-diff	0	(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))
✓	cost-diff	0	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	cost-diff	0	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	cost-diff	0	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
✓	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 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
✓	cost-diff	0	(sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))
✓	cost-diff	0	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	cost-diff	64	(-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))

Rules

12 658×	`accelerator-lowering-fma.f32`
12 658×	`accelerator-lowering-fma.f64`
2 366×	`-lowering-.f32`
2 366×	`-lowering-.f64`
2 220×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	285
1	72	285
2	135	285
3	367	285
4	1057	283
5	2049	279
6	2733	277
7	3495	277
8	3902	271
9	4478	271
10	5027	271
11	6660	271
12	7252	271
13	7949	271
0	8287	259

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (sqrt (* (/ u1 (+ -1 (* u1 (* u1 u1)))) (- 0 (+ 1 (* u1 (+ u1 1)))))) (cos (* 314159265359/50000000000 u2)))
(sqrt (* (/ u1 (+ -1 (* u1 (* u1 u1)))) (- 0 (+ 1 (* u1 (+ u1 1))))))
(* (/ u1 (+ -1 (* u1 (* u1 u1)))) (- 0 (+ 1 (* u1 (+ u1 1)))))
(/ u1 (+ -1 (* u1 (* u1 u1))))
u1
(+ -1 (* u1 (* u1 u1)))
-1
(* u1 (* u1 u1))
(* u1 u1)
(- 0 (+ 1 (* u1 (+ u1 1))))
0
(+ 1 (* u1 (+ u1 1)))
1
(* u1 (+ u1 1))
(+ u1 1)
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(sqrt (/ u1 (- 1 u1)))
(/ u1 (- 1 u1))
u1
(- 1 u1)
1
(/ (cos (* 314159265359/50000000000 u2)) (pow (+ (/ 1 u1) -1) 1/2))
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(pow (+ (/ 1 u1) -1) 1/2)
(+ (/ 1 u1) -1)
(/ 1 u1)
1
u1
-1
1/2
(* (sqrt (/ u1 (- (/ 1 (+ u1 1)) (/ (* u1 u1) (+ u1 1))))) (cos (* 314159265359/50000000000 u2)))
(sqrt (/ u1 (- (/ 1 (+ u1 1)) (/ (* u1 u1) (+ u1 1)))))
(/ u1 (- (/ 1 (+ u1 1)) (/ (* u1 u1) (+ u1 1))))
u1
(- (/ 1 (+ u1 1)) (/ (* u1 u1) (+ u1 1)))
(/ 1 (+ u1 1))
1
(+ u1 1)
(/ (* u1 u1) (+ u1 1))
(* u1 u1)
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(* (+ (sqrt u1) (* 1/2 (sqrt (* u1 (* u1 u1))))) (cos (* 314159265359/50000000000 u2)))
(+ (sqrt u1) (* 1/2 (sqrt (* u1 (* u1 u1)))))
(sqrt u1)
u1
(* 1/2 (sqrt (* u1 (* u1 u1))))
1/2
(sqrt (* u1 (* u1 u1)))
(* u1 (* u1 u1))
(* u1 u1)
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2

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

localize159.0ms (1.1%)

Memory

4.6MiB live, 360.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(sqrt.f32 (.f32 u1 (.f32 u1 u1)))
✓	accuracy	99.4%	(+.f32 (sqrt.f32 u1) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (*.f32 u1 u1)))))
✓	accuracy	99.1%	(.f32 u1 (.f32 u1 u1))
✓	accuracy	99.0%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	99.4%	(/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))
✓	accuracy	99.0%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.9%	(/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))
✓	accuracy	98.8%	(/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))
✓	accuracy	99.7%	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	accuracy	99.6%	(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))
✓	accuracy	99.1%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
✓	accuracy	99.0%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	100.0%	(-.f32 #s(literal 1 binary32) u1)
✓	accuracy	99.6%	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
✓	accuracy	99.4%	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓	accuracy	99.4%	(.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
✓	accuracy	99.2%	(*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
✓	accuracy	99.1%	(.f32 u1 (.f32 u1 u1))
✓	accuracy	99.0%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

80.0ms	246×	0	valid
12.0ms	10×	5	exit

Compiler

Compiled 339 to 41 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-sqrt: 20.0ms (28.9% of total)

ival-mult: 18.0ms (26% of total)

ival-div: 13.0ms (18.8% of total)

ival-add: 6.0ms (8.7% of total)

const: 4.0ms (5.8% of total)

ival-sub: 3.0ms (4.3% of total)

ival-cos: 3.0ms (4.3% of total)

adjust: 2.0ms (2.9% of total)

exact: 0.0ms (0% of total)

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

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

series31.0ms (0.2%)

Memory

25.2MiB live, 64.3MiB allocated

Counts

24 → 336

Calls

Call 1

Inputs
#<alt (- 0 (+ 1 (* u1 (+ u1 1))))>
#<alt (* (sqrt (* (/ u1 (+ -1 (* u1 (* u1 u1)))) (- 0 (+ 1 (* u1 (+ u1 1)))))) (cos (* 314159265359/50000000000 u2)))>
#<alt (sqrt (* (/ u1 (+ -1 (* u1 (* u1 u1)))) (- 0 (+ 1 (* u1 (+ u1 1))))))>
#<alt (* (/ u1 (+ -1 (* u1 (* u1 u1)))) (- 0 (+ 1 (* u1 (+ u1 1)))))>
#<alt (sqrt (/ u1 (- 1 u1)))>
#<alt (/ u1 (- 1 u1))>
#<alt (- 1 u1)>
#<alt (/ (cos (* 314159265359/50000000000 u2)) (pow (+ (/ 1 u1) -1) 1/2))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (pow (+ (/ 1 u1) -1) 1/2)>
#<alt (/ u1 (- (/ 1 (+ u1 1)) (/ (* u1 u1) (+ u1 1))))>
#<alt (- (/ 1 (+ u1 1)) (/ (* u1 u1) (+ u1 1)))>
#<alt (* (sqrt (/ u1 (- (/ 1 (+ u1 1)) (/ (* u1 u1) (+ u1 1))))) (cos (* 314159265359/50000000000 u2)))>
#<alt (sqrt (/ u1 (- (/ 1 (+ u1 1)) (/ (* u1 u1) (+ u1 1)))))>
#<alt (* (+ (sqrt u1) (* 1/2 (sqrt (* u1 (* u1 u1))))) (cos (* 314159265359/50000000000 u2)))>
#<alt (+ (sqrt u1) (* 1/2 (sqrt (* u1 (* u1 u1)))))>
#<alt (sqrt u1)>
#<alt (* 1/2 (sqrt (* u1 (* u1 u1))))>
#<alt (* u1 (* u1 u1))>
#<alt (* u1 (+ u1 1))>
#<alt (/ (* u1 u1) (+ u1 1))>
#<alt (/ 1 (+ u1 1))>
#<alt (sqrt (* u1 (* u1 u1)))>

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

Calls

84 calls:

Time	Variable		Point	Expression
3.0ms	u2	@	0	(* (sqrt (/ u1 (- (/ 1 (+ u1 1)) (/ (* u1 u1) (+ u1 1))))) (cos (* 314159265359/50000000000 u2)))
2.0ms	u1	@	0	(* (+ (sqrt u1) (* 1/2 (sqrt (* u1 (* u1 u1))))) (cos (* 314159265359/50000000000 u2)))
2.0ms	u2	@	0	(* (sqrt (* (/ u1 (+ -1 (* u1 (* u1 u1)))) (- 0 (+ 1 (* u1 (+ u1 1)))))) (cos (* 314159265359/50000000000 u2)))
2.0ms	u2	@	inf	(* (sqrt (* (/ u1 (+ -1 (* u1 (* u1 u1)))) (- 0 (+ 1 (* u1 (+ u1 1)))))) (cos (* 314159265359/50000000000 u2)))
1.0ms	u2	@	inf	(* (sqrt (/ u1 (- (/ 1 (+ u1 1)) (/ (* u1 u1) (+ u1 1))))) (cos (* 314159265359/50000000000 u2)))

rewrite392.0ms (2.7%)

Memory

1.6MiB live, 676.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 726×	`/-lowering-/.f32`
4 726×	`/-lowering-/.f64`
4 096×	`-lowering-.f32`
4 096×	`-lowering-.f64`
2 962×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	177
1	226	173
2	1957	173
0	8711	165

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 797

Calls

Call 1

Inputs
(- 0 (+ 1 (* u1 (+ u1 1))))
(* (sqrt (* (/ u1 (+ -1 (* u1 (* u1 u1)))) (- 0 (+ 1 (* u1 (+ u1 1)))))) (cos (* 314159265359/50000000000 u2)))
(sqrt (* (/ u1 (+ -1 (* u1 (* u1 u1)))) (- 0 (+ 1 (* u1 (+ u1 1))))))
(* (/ u1 (+ -1 (* u1 (* u1 u1)))) (- 0 (+ 1 (* u1 (+ u1 1)))))
(sqrt (/ u1 (- 1 u1)))
(/ u1 (- 1 u1))
(- 1 u1)
(/ (cos (* 314159265359/50000000000 u2)) (pow (+ (/ 1 u1) -1) 1/2))
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(pow (+ (/ 1 u1) -1) 1/2)
(/ u1 (- (/ 1 (+ u1 1)) (/ (* u1 u1) (+ u1 1))))
(- (/ 1 (+ u1 1)) (/ (* u1 u1) (+ u1 1)))
(* (sqrt (/ u1 (- (/ 1 (+ u1 1)) (/ (* u1 u1) (+ u1 1))))) (cos (* 314159265359/50000000000 u2)))
(sqrt (/ u1 (- (/ 1 (+ u1 1)) (/ (* u1 u1) (+ u1 1)))))
(* (+ (sqrt u1) (* 1/2 (sqrt (* u1 (* u1 u1))))) (cos (* 314159265359/50000000000 u2)))
(+ (sqrt u1) (* 1/2 (sqrt (* u1 (* u1 u1)))))
(sqrt u1)
(* 1/2 (sqrt (* u1 (* u1 u1))))
(* u1 (* u1 u1))
(* u1 (+ u1 1))
(/ (* u1 u1) (+ u1 1))
(/ 1 (+ u1 1))
(sqrt (* u1 (* u1 u1)))

Outputs
(neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(+.f32 #s(literal 0 binary32) (-.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(+.f32 (-.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 0 binary32))
(+.f32 #s(literal -1 binary32) (neg.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(+.f32 #s(literal -1 binary32) (*.f32 (neg.f32 u1) (+.f32 #s(literal 1 binary32) u1)))
(+.f32 #s(literal -1 binary32) (*.f32 (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) u1)) u1))
(+.f32 (neg.f32 (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) #s(literal -1 binary32))
(fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 0 binary32))
(fma.f32 (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) #s(literal 0 binary32))
(fma.f32 (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(-.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(-.f32 (/.f32 #s(literal 0 binary32) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
(-.f32 (/.f32 #s(literal 0 binary32) (-.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32))
(-.f32 (-.f32 #s(literal -1 binary32) (*.f32 u1 u1)) u1)
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (-.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))))
(/.f32 (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(/.f32 (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (+.f32 #s(literal 0 binary32) (-.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 0 binary32) (-.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
(/.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(/.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (+.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (-.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (-.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (neg.f32 (+.f32 #s(literal 0 binary32) (-.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (.f32 #s(literal 0 binary32) (-.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))))
(/.f32 (neg.f32 (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (-.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (neg.f32 (-.f32 #s(literal 0 binary32) (-.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
(/.f32 (-.f32 #s(literal -1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (-.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))) (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (-.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (neg.f32 (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (neg.f32 (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (neg.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (-.f32 #s(literal -1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))) (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (-.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))))
(.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 (-.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1))))))
(.f32 (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1))))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
(.f32 (pow.f32 (/.f32 (.f32 u1 (-.f32 #s(literal -1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) #s(literal 1/2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
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(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (.f32 #s(literal 1/8 binary32) (pow.f32 u1 #s(literal 9/2 binary32)))))) (neg.f32 (neg.f32 (+.f32 u1 (-.f32 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32)) (.f32 (.f32 u1 u1) #s(literal 1/2 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32))))) (neg.f32 (neg.f32 (+.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 #s(literal -1/2 binary32) (pow.f32 u1 #s(literal 3/2 binary32)))))))
(/.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32)) u1)) (neg.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 u1 #s(literal 1/2 binary32)))))
(.f32 (+.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (.f32 #s(literal 1/8 binary32) (pow.f32 u1 #s(literal 9/2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 u1 (-.f32 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32)) (.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))))))
(.f32 (-.f32 u1 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (pow.f32 u1 #s(literal 3/2 binary32))))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(fabs.f32 (pow.f32 u1 #s(literal 1/2 binary32)))
(pow.f32 u1 #s(literal 1/2 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 u1 #s(literal 1/2 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) #s(literal 1 binary32))
(/.f32 (pow.f32 (neg.f32 u1) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32)))
(sqrt.f32 u1)
(*.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 1/2 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) #s(literal 1 binary32))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (pow.f32 u1 #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (pow.f32 u1 #s(literal 1/2 binary32))) (sqrt.f32 (pow.f32 u1 #s(literal 1/2 binary32))))
(*.f32 #s(literal 1/2 binary32) (pow.f32 u1 #s(literal 3/2 binary32)))
(.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (.f32 u1 #s(literal 1/2 binary32)))
(*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32))
(.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 u1 #s(literal 1/2 binary32))) u1)
(exp.f32 (*.f32 #s(literal 3 binary32) (log.f32 u1)))
(exp.f32 (+.f32 (.f32 (.f32 #s(literal 3 binary32) (log.f32 u1)) #s(literal 1/2 binary32)) (.f32 (.f32 #s(literal 3 binary32) (log.f32 u1)) #s(literal 1/2 binary32))))
(exp.f32 (+.f32 (.f32 (.f32 #s(literal 3 binary32) (log.f32 u1)) #s(literal 1/2 binary32)) (.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1)) #s(literal 3 binary32))))
(exp.f32 (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1)) #s(literal 3 binary32)) (.f32 (.f32 #s(literal 3 binary32) (log.f32 u1)) #s(literal 1/2 binary32))))
(exp.f32 (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1)) #s(literal 3 binary32)) (.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1)) #s(literal 3 binary32))))
(pow.f32 u1 #s(literal 3 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 3/2 binary32))
(pow.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1 binary32))
(pow.f32 (pow.f32 u1 #s(literal 1/2 binary32)) #s(literal 6 binary32))
(pow.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))
(/.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1 binary32))
(/.f32 (.f32 #s(literal -1 binary32) (.f32 u1 (*.f32 u1 u1))) #s(literal -1 binary32))
(sqrt.f32 (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (*.f32 u1 u1)))))
(.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))
(.f32 u1 (.f32 u1 u1))
(.f32 (.f32 u1 u1) u1)
(.f32 (.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32))
(*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (pow.f32 u1 #s(literal 3/2 binary32)))
(+.f32 u1 (*.f32 u1 u1))
(+.f32 (*.f32 u1 u1) u1)
(fma.f32 #s(literal 1 binary32) u1 (*.f32 u1 u1))
(fma.f32 #s(literal 1 binary32) (*.f32 u1 u1) u1)
(fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(fma.f32 (*.f32 u1 u1) #s(literal 1 binary32) u1)
(fma.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (pow.f32 u1 #s(literal 1/2 binary32)) (*.f32 u1 u1))
(fma.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (pow.f32 u1 #s(literal 3/2 binary32)) u1)
(fma.f32 (neg.f32 u1) (neg.f32 u1) u1)
(/.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (-.f32 (.f32 u1 (.f32 u1 u1)) #s(literal -1 binary32))) (+.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))) (-.f32 (.f32 u1 u1) (.f32 u1 (*.f32 u1 u1)))))
(/.f32 (-.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))) (.f32 u1 u1)) (-.f32 (*.f32 u1 u1) u1))
(/.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 u1 (+.f32 (.f32 u1 u1) #s(literal -1 binary32))) (+.f32 u1 #s(literal -1 binary32)))
(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))) u1) (+.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (+.f32 (.f32 u1 u1) #s(literal -1 binary32)) u1) (+.f32 u1 #s(literal -1 binary32)))
(/.f32 (neg.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (-.f32 (.f32 u1 (.f32 u1 u1)) #s(literal -1 binary32)))) (neg.f32 (+.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))) (-.f32 (.f32 u1 u1) (.f32 u1 (*.f32 u1 u1))))))
(/.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))) (.f32 u1 u1))) (neg.f32 (-.f32 (*.f32 u1 u1) u1)))
(/.f32 (neg.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) (neg.f32 (+.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (.f32 u1 (+.f32 (.f32 u1 u1) #s(literal -1 binary32)))) (neg.f32 (+.f32 u1 #s(literal -1 binary32))))
(/.f32 (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))) u1)) (neg.f32 (+.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (.f32 (+.f32 (.f32 u1 u1) #s(literal -1 binary32)) u1)) (neg.f32 (+.f32 u1 #s(literal -1 binary32))))
(.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(*.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(*.f32 (+.f32 #s(literal 1 binary32) u1) u1)
(.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
(neg.f32 (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) u1))))
(exp.f32 (.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1))) #s(literal -1 binary32)))
(exp.f32 (+.f32 (*.f32 (log.f32 u1) #s(literal 2 binary32)) (-.f32 #s(literal 0 binary32) (log1p.f32 u1))))
(exp.f32 (+.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)) (*.f32 (log.f32 u1) #s(literal 2 binary32))))
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1)) #s(literal 1 binary32))))
(/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))) (neg.f32 (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) u1))))
(/.f32 (.f32 (.f32 u1 u1) #s(literal -1 binary32)) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1)))) (neg.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (.f32 (.f32 u1 u1) #s(literal -1 binary32))) (neg.f32 (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) u1))))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))
(*.f32 u1 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (.f32 u1 u1))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32)))
(.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)) u1)
(.f32 (/.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)))
(.f32 (/.f32 (.f32 u1 u1) (+.f32 (*.f32 u1 u1) #s(literal -1 binary32))) (+.f32 u1 #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1)))
(exp.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(pow.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))
(pow.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) u1)))))
(*.f32 #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) (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.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 (+.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (.f32 u1 u1) #s(literal -1 binary32))) (+.f32 u1 #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (.f32 u1 u1) #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) #s(literal -1 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 3 binary32) (log.f32 u1)) #s(literal 1/2 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1)) #s(literal 3 binary32)))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 3/2 binary32)))
(fabs.f32 (pow.f32 u1 #s(literal 3/2 binary32)))
(pow.f32 u1 #s(literal 3/2 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 3/4 binary32))
(pow.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 u1 #s(literal 1/2 binary32)) #s(literal 3 binary32))
(pow.f32 (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (*.f32 u1 u1)))) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 u1 #s(literal 3/4 binary32)) #s(literal 2 binary32))
(sqrt.f32 (.f32 u1 (.f32 u1 u1)))
(*.f32 u1 (pow.f32 u1 #s(literal 1/2 binary32)))
(*.f32 (pow.f32 u1 #s(literal 1/2 binary32)) u1)
(*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 u1 #s(literal 3/4 binary32)) (pow.f32 u1 #s(literal 3/4 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) (pow.f32 u1 #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32)) (pow.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 3 binary32)))
(*.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3/2 binary32))) (sqrt.f32 (pow.f32 u1 #s(literal 3/2 binary32))))

simplify644.0ms (4.4%)

Memory

12.1MiB live, 804.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14 026×	`accelerator-lowering-fma.f32`
14 026×	`accelerator-lowering-fma.f64`
6 826×	`-lowering-.f32`
6 826×	`-lowering-.f64`
4 524×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	444	4644
1	1373	4155
2	4555	3791
0	8233	3605

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

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

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

eval118.0ms (0.8%)

Memory: 14.3MiB live, 355.6MiB allocated
Compiler: Compiled 31 825 to 3 245 computations (89.8% saved)

prune193.0ms (1.3%)

Memory

-15.2MiB live, 559.2MiB allocated

Pruning

48 alts after pruning (46 fresh and 2 done)

	Pruned	Kept	Total
New	1 208	38	1 246
Fresh	15	8	23
Picked	4	1	5
Done	0	1	1
Total	1 227	48	1 275

Accuracy

99.9%

Counts

1 275 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.4%	(pow.f32 (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal -1/4 binary32)) #s(literal 2 binary32))
	80.9%	(pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal -1/2 binary32))
	93.2%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
	91.9%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
	88.5%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
	98.5%	(/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32)))
	93.3%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
	94.3%	(/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (+.f32 (sqrt.f32 u1) (.f32 (.f32 u1 u1) (+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (.f32 #s(literal -1/8 binary32) (.f32 u1 u1))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 (.f32 (*.f32 u1 u1) #s(literal -1/16 binary32)) #s(literal -1/2 binary32)))))) u1))
▶	98.5%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
▶	76.6%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
	98.5%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
	96.1%	(/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
	80.7%	(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1/2 binary32)))
	98.4%	(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	93.7%	(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (+.f32 (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (.f32 (.f32 u2 u2) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))
	98.8%	(.f32 (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.8%	(.f32 (pow.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	88.8%	(.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))))
	87.6%	(.f32 (+.f32 (sqrt.f32 u1) (.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	88.8%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))))
▶	88.6%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
	98.5%	(.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)))
	74.6%	(.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))))))
	95.6%	(.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.8%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	94.8%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	93.5%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
	92.1%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
	76.0%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
✓	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	91.9%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (+.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
	98.8%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	93.6%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
	92.2%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
	98.7%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (.f32 (.f32 u1 u1) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) 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)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	91.2%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	76.7%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	81.0%	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
	80.8%	(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
	80.9%	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))
	80.9%	(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
	72.7%	(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
	75.5%	(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
	76.9%	(sqrt.f32 (.f32 u1 (.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
▶	65.2%	(sqrt.f32 u1)
	94.1%	(exp.f32 (.f32 (log.f32 (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32)))

Compiler

Compiled 1 957 to 1 342 computations (31.4% saved)

simplify417.0ms (2.8%)

Memory

0.7MiB live, 788.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	cost-diff	0	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	cost-diff	64	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
✓	cost-diff	192	(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32)))
✓	cost-diff	0	(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
✓	cost-diff	0	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	cost-diff	0	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	cost-diff	0	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
✓	cost-diff	0	(*.f32 u2 u2)
✓	cost-diff	0	(.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)))
✓	cost-diff	0	(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
✓	cost-diff	0	(sqrt.f32 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)) u1))
✓	cost-diff	0	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	cost-diff	64	(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)

Rules

13 292×	`accelerator-lowering-fma.f32`
13 292×	`accelerator-lowering-fma.f64`
2 688×	`/-lowering-/.f32`
2 688×	`/-lowering-/.f64`
2 522×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	220
1	52	212
2	73	212
3	125	212
4	199	212
5	218	212
6	263	212
7	319	212
8	362	212
9	369	212
10	391	200
11	463	200
12	633	200
13	1096	200
14	3421	200
15	6367	200
0	8312	198

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (sqrt (* (/ 1 (- 1 u1)) u1)) (cos (* 314159265359/50000000000 u2)))
(sqrt (* (/ 1 (- 1 u1)) u1))
(* (/ 1 (- 1 u1)) u1)
(/ 1 (- 1 u1))
1
(- 1 u1)
u1
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(sqrt u1)
u1
(* (+ 1 (* -98696044010906577398881/5000000000000000000000 (* u2 u2))) (sqrt (/ 1 (+ -1 (/ 1 u1)))))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (* u2 u2)))
1
(* -98696044010906577398881/5000000000000000000000 (* u2 u2))
-98696044010906577398881/5000000000000000000000
(* u2 u2)
u2
(sqrt (/ 1 (+ -1 (/ 1 u1))))
(/ 1 (+ -1 (/ 1 u1)))
(+ -1 (/ 1 u1))
-1
(/ 1 u1)
u1
(/ (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1)))
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(sqrt (/ 1 u1))
(/ 1 u1)
1
u1
(/ (cos (* 314159265359/50000000000 u2)) (/ 1 (sqrt (/ (+ (/ 1 u1) 1) (+ (/ (/ 1 u1) u1) -1)))))
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(/ 1 (sqrt (/ (+ (/ 1 u1) 1) (+ (/ (/ 1 u1) u1) -1))))
1
(sqrt (/ (+ (/ 1 u1) 1) (+ (/ (/ 1 u1) u1) -1)))
(/ (+ (/ 1 u1) 1) (+ (/ (/ 1 u1) u1) -1))
(+ (/ 1 u1) 1)
(/ 1 u1)
u1
(+ (/ (/ 1 u1) u1) -1)
(/ (/ 1 u1) u1)
-1

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

localize115.0ms (0.8%)

Memory

16.0MiB live, 369.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32)))))
✓	accuracy	99.0%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
✓	accuracy	99.0%	(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32)))
✓	accuracy	98.9%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	99.7%	(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
✓	accuracy	99.7%	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	accuracy	99.1%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
✓	accuracy	98.9%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	99.6%	(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
✓	accuracy	99.4%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
✓	accuracy	99.2%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))
✓	accuracy	98.8%	(.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))
✓	accuracy	100.0%	(sqrt.f32 u1)
✓	accuracy	99.5%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	accuracy	99.4%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
✓	accuracy	99.3%	(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)
✓	accuracy	98.9%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

65.0ms

256×

valid

Compiler

Compiled 234 to 34 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-div: 13.0ms (26.5% of total)

const: 9.0ms (18.4% of total)

ival-mult: 8.0ms (16.3% of total)

ival-sqrt: 8.0ms (16.3% of total)

ival-add: 5.0ms (10.2% of total)

ival-cos: 4.0ms (8.2% of total)

ival-sub: 1.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory

21.9MiB live, 60.7MiB allocated

Counts

18 → 264

Calls

Call 1

Inputs
#<alt (* (/ 1 (- 1 u1)) u1)>
#<alt (* (sqrt (* (/ 1 (- 1 u1)) u1)) (cos (* 314159265359/50000000000 u2)))>
#<alt (sqrt (* (/ 1 (- 1 u1)) u1))>
#<alt (/ 1 (- 1 u1))>
#<alt (sqrt u1)>
#<alt (* (+ 1 (* -98696044010906577398881/5000000000000000000000 (* u2 u2))) (sqrt (/ 1 (+ -1 (/ 1 u1)))))>
#<alt (+ 1 (* -98696044010906577398881/5000000000000000000000 (* u2 u2)))>
#<alt (* -98696044010906577398881/5000000000000000000000 (* u2 u2))>
#<alt (* u2 u2)>
#<alt (/ (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1)))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (sqrt (/ 1 u1))>
#<alt (/ (+ (/ 1 u1) 1) (+ (/ (/ 1 u1) u1) -1))>
#<alt (/ (cos (* 314159265359/50000000000 u2)) (/ 1 (sqrt (/ (+ (/ 1 u1) 1) (+ (/ (/ 1 u1) u1) -1)))))>
#<alt (/ 1 (+ -1 (/ 1 u1)))>
#<alt (sqrt (/ 1 (+ -1 (/ 1 u1))))>
#<alt (/ 1 (sqrt (/ (+ (/ 1 u1) 1) (+ (/ (/ 1 u1) u1) -1))))>

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

Calls

66 calls:

Time	Variable		Point	Expression
2.0ms	u2	@	inf	(+ 1 (* -98696044010906577398881/5000000000000000000000 (* u2 u2)))
1.0ms	u2	@	inf	(/ (cos (* 314159265359/50000000000 u2)) (/ 1 (sqrt (/ (+ (/ 1 u1) 1) (+ (/ (/ 1 u1) u1) -1)))))
1.0ms	u2	@	0	(/ (cos (* 314159265359/50000000000 u2)) (/ 1 (sqrt (/ (+ (/ 1 u1) 1) (+ (/ (/ 1 u1) u1) -1)))))
1.0ms	u1	@	inf	(* (+ 1 (* -98696044010906577398881/5000000000000000000000 (* u2 u2))) (sqrt (/ 1 (+ -1 (/ 1 u1)))))
1.0ms	u1	@	-inf	(/ (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1)))

rewrite359.0ms (2.4%)

Memory

-22.2MiB live, 938.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 314×	`accelerator-lowering-fma.f32`
6 314×	`accelerator-lowering-fma.f64`
3 740×	`/-lowering-/.f32`
3 740×	`/-lowering-/.f64`
3 248×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	157
1	170	117
2	1245	113
0	9188	105

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 664

Calls

Call 1

Inputs
(* (/ 1 (- 1 u1)) u1)
(* (sqrt (* (/ 1 (- 1 u1)) u1)) (cos (* 314159265359/50000000000 u2)))
(sqrt (* (/ 1 (- 1 u1)) u1))
(/ 1 (- 1 u1))
(sqrt u1)
(* (+ 1 (* -98696044010906577398881/5000000000000000000000 (* u2 u2))) (sqrt (/ 1 (+ -1 (/ 1 u1)))))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (* u2 u2)))
(* -98696044010906577398881/5000000000000000000000 (* u2 u2))
(* u2 u2)
(/ (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 u1)))
(cos (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(sqrt (/ 1 u1))
(/ (+ (/ 1 u1) 1) (+ (/ (/ 1 u1) u1) -1))
(/ (cos (* 314159265359/50000000000 u2)) (/ 1 (sqrt (/ (+ (/ 1 u1) 1) (+ (/ (/ 1 u1) u1) -1)))))
(/ 1 (+ -1 (/ 1 u1)))
(sqrt (/ 1 (+ -1 (/ 1 u1))))
(/ 1 (sqrt (/ (+ (/ 1 u1) 1) (+ (/ (/ 1 u1) u1) -1))))

Outputs
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal -1 binary32) u1)) (/.f32 u1 (+.f32 #s(literal -1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) u1) (/.f32 u1 #s(literal -1 binary32))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
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(/.f32 (sqrt.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))) (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1/2 binary32)))
(/.f32 (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1/2 binary32))) (neg.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))))
(/.f32 (neg.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) #s(literal 1/2 binary32))) (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) #s(literal 1/2 binary32))))
(sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(*.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))))
(.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) #s(literal -1/2 binary32)))
(.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)))
(.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal 1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(*.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(*.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)))))
(.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) #s(literal 1/2 binary32))))
(.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))
(.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) #s(literal -1/2 binary32)))
(.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (pow.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 #s(literal -1 binary32) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))) #s(literal -1/2 binary32)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)))
(.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1))))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) #s(literal -1/2 binary32)))
(.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (.f32 u1 (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(literal -1/2 binary32)))
(.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (.f32 u1 (.f32 u1 u1))) #s(literal -1 binary32))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal 1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32)) #s(literal -1 binary32)))
(.f32 (pow.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) #s(literal 1/2 binary32)) (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))) (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1/2 binary32)))

simplify572.0ms (3.9%)

Memory

18.7MiB live, 1 248.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16 954×	`accelerator-lowering-fma.f32`
16 954×	`accelerator-lowering-fma.f64`
6 420×	`-lowering-.f32`
6 420×	`-lowering-.f64`
4 802×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	394	3570
1	1207	3070
2	3896	2892
0	8115	2758

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

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

eval99.0ms (0.7%)

Memory: -4.6MiB live, 229.5MiB allocated
Compiler: Compiled 22 275 to 2 166 computations (90.3% saved)

prune168.0ms (1.1%)

Memory

-6.0MiB live, 513.0MiB allocated

Pruning

65 alts after pruning (59 fresh and 6 done)

	Pruned	Kept	Total
New	973	35	1 008
Fresh	17	24	41
Picked	1	4	5
Done	0	2	2
Total	991	65	1 056

Accuracy

100.0%

Counts

1 056 → 65

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.0%	(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
	65.1%	(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
	80.9%	(pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal -1/2 binary32))
	65.1%	(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
	98.8%	(/.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	98.4%	(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	88.6%	(/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
	76.7%	(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	93.2%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
	91.9%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
	93.3%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
▶	72.1%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
	71.2%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
	88.5%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
	88.6%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
	69.0%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
	93.3%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
	76.6%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))
	94.3%	(/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (+.f32 (sqrt.f32 u1) (.f32 (.f32 u1 u1) (+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (.f32 #s(literal -1/8 binary32) (.f32 u1 u1))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 (.f32 (*.f32 u1 u1) #s(literal -1/16 binary32)) #s(literal -1/2 binary32)))))) u1))
	74.6%	(/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))))))
	74.6%	(/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))))
	98.3%	(/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal 1 binary32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
✓	76.6%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
▶	98.5%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
	75.2%	(/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (exp.f32 (.f32 (log.f32 u1) #s(literal -1/2 binary32))))
	80.7%	(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1/2 binary32)))
▶	65.0%	(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
	88.5%	(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
	98.4%	(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	76.6%	(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	80.7%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
	65.0%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
	71.4%	(+.f32 (sqrt.f32 u1) (.f32 (.f32 (sqrt.f32 u1) (.f32 u2 u2)) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
	88.5%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
▶	88.8%	(.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))))
	87.6%	(.f32 (+.f32 (sqrt.f32 u1) (.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	67.4%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))))
	88.6%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
	67.2%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
✓	88.6%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
	78.4%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
	69.2%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 u1))
	95.6%	(.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.0%	(.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (+.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
	98.8%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	76.0%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
✓	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	91.9%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (+.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
▶	98.8%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	93.6%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
	93.5%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
	92.2%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
	88.8%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))))
✓	98.8%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.7%	(.f32 (sqrt.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	76.7%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	81.0%	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
	80.9%	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))
	80.9%	(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
	72.7%	(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
	75.5%	(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
	76.9%	(sqrt.f32 (.f32 u1 (.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
✓	65.2%	(sqrt.f32 u1)
	64.3%	(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))

Compiler

Compiled 2 483 to 1 710 computations (31.1% saved)

simplify549.0ms (3.7%)

Memory

-19.4MiB live, 797.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))
✓	cost-diff	0	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	cost-diff	0	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	cost-diff	0	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
✓	cost-diff	0	(*.f32 u2 u2)
✓	cost-diff	0	(.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))
✓	cost-diff	0	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
✓	cost-diff	0	(*.f32 u2 u2)
✓	cost-diff	0	(.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))
✓	cost-diff	0	(+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32))
✓	cost-diff	0	(.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))))
✓	cost-diff	0	(pow.f32 u1 #s(literal -1/2 binary32))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
✓	cost-diff	0	(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
✓	cost-diff	0	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))
✓	cost-diff	0	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	cost-diff	192	(.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))

Rules

20 914×	`accelerator-lowering-fma.f32`
20 914×	`accelerator-lowering-fma.f64`
2 722×	`-lowering-.f32`
2 722×	`-lowering-.f64`
2 210×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	297
1	89	297
2	189	297
3	396	297
4	844	297
5	994	297
6	1411	267
7	2560	267
8	4525	267
9	7689	267
0	8374	252

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize240.0ms (1.6%)

Memory

15.2MiB live, 239.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	accuracy	99.6%	(sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))
✓	accuracy	99.0%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
✓	accuracy	98.9%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	99.2%	(.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))
✓	accuracy	99.1%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
✓	accuracy	98.9%	(.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))
✓	accuracy	98.8%	(.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))
✓	accuracy	99.6%	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
✓	accuracy	99.4%	(.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))))
✓	accuracy	99.3%	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓	accuracy	98.8%	(.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))
✓	accuracy	100.0%	(pow.f32 u1 #s(literal -1/2 binary32))
✓	accuracy	99.2%	(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
✓	accuracy	99.6%	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))
✓	accuracy	99.5%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	accuracy	99.1%	(.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
✓	accuracy	98.9%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

115.0ms

256×

valid

Compiler

Compiled 287 to 43 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-add: 28.0ms (29% of total)

ival-mult: 18.0ms (18.7% of total)

ival-sqrt: 15.0ms (15.6% of total)

const: 14.0ms (14.5% of total)

ival-div: 10.0ms (10.4% of total)

ival-pow: 5.0ms (5.2% of total)

ival-cos: 3.0ms (3.1% of total)

ival-sub: 2.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series25.0ms (0.2%)

Memory

37.9MiB live, 37.9MiB allocated

Counts

21 → 300

Calls

Call 1

Inputs
#<alt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))>
#<alt (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)))>
#<alt (/ u1 (- 1 (* u1 u1)))>
#<alt (/ 1 (pow u1 -1/2))>
#<alt (pow u1 -1/2)>
#<alt (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ u1 (- 1 u1))))>
#<alt (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1)>
#<alt (* -98696044010906577398881/5000000000000000000000 (* u2 u2))>
#<alt (* u2 u2)>
#<alt (/ (+ 1 (* (* u2 u2) (+ -98696044010906577398881/5000000000000000000000 (* u2 (* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))))) (sqrt (/ 1 u1)))>
#<alt (+ 1 (* (* u2 u2) (+ -98696044010906577398881/5000000000000000000000 (* u2 (* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))))))>
#<alt (* (* u2 u2) (+ -98696044010906577398881/5000000000000000000000 (* u2 (* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))))>
#<alt (/ (cos (* 314159265359/50000000000 u2)) (sqrt (+ -1 (/ 1 u1))))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (sqrt (+ -1 (/ 1 u1)))>
#<alt (/ u1 (- 1 u1))>
#<alt (sqrt (/ u1 (- 1 u1)))>
#<alt (* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)))>
#<alt (* u2 (* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))>

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

Calls

75 calls:

Time	Variable		Point	Expression
6.0ms	u2	@	-inf	(* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ u1 (- 1 u1))))
2.0ms	u1	@	0	(/ (+ 1 (* (* u2 u2) (+ -98696044010906577398881/5000000000000000000000 (* u2 (* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))))) (sqrt (/ 1 u1)))
1.0ms	u1	@	-inf	(/ (+ 1 (* (* u2 u2) (+ -98696044010906577398881/5000000000000000000000 (* u2 (* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))))) (sqrt (/ 1 u1)))
1.0ms	u2	@	inf	(* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2)))
1.0ms	u2	@	inf	(/ (+ 1 (* (* u2 u2) (+ -98696044010906577398881/5000000000000000000000 (* u2 (* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))))))) (sqrt (/ 1 u1)))

rewrite547.0ms (3.7%)

Memory

-5.7MiB live, 839.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 660×	`/-lowering-/.f32`
4 660×	`/-lowering-/.f64`
4 008×	`-lowering-.f32`
4 008×	`-lowering-.f64`
3 704×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	209
1	237	176
2	1824	176
0	8433	164

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 1 111

Calls

Call 1

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

Outputs
(neg.f32 (/.f32 u1 (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)))
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1 binary32)))
(+.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(+.f32 (/.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))
(fma.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))
(fma.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(fma.f32 u1 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal 1 binary32)) (/.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))
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(.f32 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))) u2)
(.f32 (.f32 (.f32 u2 u2) (+.f32 #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 (.f32 u2 u2)) (.f32 (.f32 u2 (.f32 u2 u2)) #s(literal -888582403072316045452646217178678891027187248031397878124052811958269488480104843150169746712373991334935709783044556185269752461763560102731769199523473600715918327615700960880586771967335181848794343956321/1423828125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (-.f32 (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
(.f32 (.f32 (.f32 u2 u2) (-.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/126562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))

simplify554.0ms (3.8%)

Memory

23.5MiB live, 920.7MiB allocated

Algorithm

1×	egg-herbie

Rules

14 936×	`accelerator-lowering-fma.f32`
14 936×	`accelerator-lowering-fma.f64`
6 858×	`-lowering-.f32`
6 858×	`-lowering-.f64`
4 826×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	446	4249
1	1347	3895
2	4333	3632
0	8191	3428

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

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

Outputs
u1
(* u1 (+ 1 u1))
(*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(.f32 u1 (.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32))))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))
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(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt u1)) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))) (* (sqrt u1) (/ 1 (pow u2 6)))))))
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(* (sqrt u1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
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(* (sqrt u1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
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(* (sqrt u1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
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(* (sqrt u1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
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(* (sqrt u1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
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(* (sqrt u1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
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(* (sqrt u1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
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(* (sqrt u1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
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(* -1 (* (sqrt u1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
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(* -1 (* (sqrt u1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
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(* -1 (* (sqrt u1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
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#s(literal 1 binary32)
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(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
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(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
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(* (pow u2 6) (- (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (/ 1 (pow u2 6))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
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(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
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(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(.f32 (pow.f32 u2 #s(literal 6 binary32)) (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(.f32 (pow.f32 u2 #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (*.f32 u2 u2)))))
(* (pow u2 6) (- (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (/ 1 (pow u2 6))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
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(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
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(* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))
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(* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))
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(* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))
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(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
(*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32)))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
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(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
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(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(.f32 (pow.f32 u2 #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (*.f32 u2 u2)))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
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(* -1 (+ 1 (/ 1 u1)))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1))) u1))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+.f32 (sqrt.f32 u1) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (*.f32 u1 u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+.f32 (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal 1/2 binary32) (.f32 u1 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))))))))))
(+.f32 (sqrt.f32 u1) (.f32 (.f32 u1 u1) (+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) u1))) (.f32 (.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)) 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 (/.f32 #s(literal -1/2 binary32) u1) (sqrt.f32 #s(literal -1 binary32))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(+.f32 (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -1/2 binary32) u1) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (/.f32 #s(literal -3/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (*.f32 u1 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))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 3/4 binary32) (.f32 u1 u1)) (/.f32 (/.f32 #s(literal 5/8 binary32) u1) (*.f32 u1 u1)))) (/.f32 (/.f32 #s(literal -1/2 binary32) u1) (sqrt.f32 #s(literal -1 binary32)))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32)) (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -3/8 binary32)) u1)) 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 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32)) (/.f32 (+.f32 (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5/16 binary32)) u1) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3/8 binary32))) u1)) u1))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))
(* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))
(* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))
(.f32 u2 (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))
(* (pow u2 3) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(.f32 (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))) (.f32 u2 (.f32 u2 u2)))
(* (pow u2 3) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(.f32 (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))) (.f32 u2 (.f32 u2 u2)))
(* (pow u2 3) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(.f32 (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))) (.f32 u2 (.f32 u2 u2)))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))
(.f32 u2 (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))
(* -1 (* (pow u2 3) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(.f32 (.f32 u2 (.f32 u2 u2)) (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(* -1 (* (pow u2 3) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(.f32 (.f32 u2 (.f32 u2 u2)) (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(* -1 (* (pow u2 3) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(.f32 (.f32 u2 (.f32 u2 u2)) (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(.f32 (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (*.f32 u2 u2)))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(.f32 (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (*.f32 u2 u2)))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(.f32 (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (*.f32 u2 u2)))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(.f32 (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (*.f32 u2 u2)))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(.f32 (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (*.f32 u2 u2)))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(.f32 (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (*.f32 u2 u2)))

eval152.0ms (1%)

Memory: -8.9MiB live, 306.5MiB allocated
Compiler: Compiled 44 778 to 3 879 computations (91.3% saved)

prune265.0ms (1.8%)

Memory

17.5MiB live, 614.4MiB allocated

Pruning

79 alts after pruning (69 fresh and 10 done)

	Pruned	Kept	Total
New	1 446	28	1 474
Fresh	13	41	54
Picked	1	4	5
Done	0	6	6
Total	1 460	79	1 539

Accuracy

100.0%

Counts

1 539 → 79

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.0%	(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
	65.0%	(pow.f32 (pow.f32 u1 #s(literal -1/4 binary32)) #s(literal -2 binary32))
	65.1%	(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
	80.9%	(pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal -1/2 binary32))
	65.1%	(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
	98.8%	(/.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	98.4%	(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	88.6%	(/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
	76.7%	(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	72.1%	(/.f32 (-.f32 (/.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (-.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) #s(literal 1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
	72.1%	(/.f32 (+.f32 (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
	72.1%	(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 u2 u2))) (.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (-.f32 (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
	72.1%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 (.f32 (.f32 u2 u2) (-.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/126562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
	93.2%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
	71.2%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
	93.3%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
✓	72.1%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
	72.1%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 u1 #s(literal -1/2 binary32)))
	71.2%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
	91.9%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
	93.2%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
	88.6%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
	69.0%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
	88.5%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
	72.2%	(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (pow.f32 u1 #s(literal 1/2 binary32))) (-.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
	72.2%	(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))) (pow.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (-.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) #s(literal 1 binary32)))))
	93.3%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
	76.6%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))
	94.3%	(/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (+.f32 (sqrt.f32 u1) (.f32 (.f32 u1 u1) (+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (.f32 #s(literal -1/8 binary32) (.f32 u1 u1))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 (.f32 (*.f32 u1 u1) #s(literal -1/16 binary32)) #s(literal -1/2 binary32)))))) u1))
	74.6%	(/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))))))
	74.6%	(/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))))
	98.3%	(/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal 1 binary32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
✓	76.6%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
✓	98.5%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
	75.2%	(/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (exp.f32 (.f32 (log.f32 u1) #s(literal -1/2 binary32))))
	65.0%	(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)))
✓	65.0%	(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
	98.4%	(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	88.5%	(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
	72.1%	(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
	76.6%	(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	72.1%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (-.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) #s(literal 1 binary32)))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))) (pow.f32 u1 #s(literal 1/2 binary32)))))
	80.7%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
	65.0%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
	80.7%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
	4.1%	(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
	4.1%	(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
	88.7%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
✓	88.8%	(.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))))
	88.7%	(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
	88.8%	(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))))
	88.8%	(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
	78.4%	(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
	69.2%	(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 u1))
	87.6%	(.f32 (+.f32 (sqrt.f32 u1) (.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	67.4%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))))
	88.6%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
✓	88.6%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
	95.6%	(.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.8%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	76.0%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
✓	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.1%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
	93.5%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
	93.5%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
	92.2%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
✓	98.8%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.7%	(.f32 (sqrt.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	72.2%	(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
	76.7%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	81.0%	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
	80.9%	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))
	80.9%	(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
	72.7%	(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
	75.5%	(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
	76.9%	(sqrt.f32 (.f32 u1 (.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
✓	65.2%	(sqrt.f32 u1)
	64.3%	(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))

Compiler

Compiled 4 555 to 1 573 computations (65.5% saved)

regimes580.0ms (3.9%)

Memory

-96.7MiB live, 621.2MiB allocated

Counts

130 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)))
(pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 u1))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (.f32 u1 (.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(.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))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (+.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (+.f32 (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (+.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
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(/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))))
(/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))))))
(/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (exp.f32 (.f32 (log.f32 u1) #s(literal -1/2 binary32))))
(.f32 (+.f32 (sqrt.f32 u1) (.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (exp.f32 (.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 (+.f32 (sqrt.f32 u1) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (pow.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal 1/2 binary32)) (pow.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1/2 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))))))
(.f32 (.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 u1)) u1) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal -1/2 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 u1)) (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 u1 (.f32 u1 u1))) #s(literal -1/2 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(exp.f32 (.f32 (log.f32 (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32)))
(/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (+.f32 (sqrt.f32 u1) (.f32 (.f32 u1 u1) (+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (.f32 #s(literal -1/8 binary32) (.f32 u1 u1))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 (.f32 (*.f32 u1 u1) #s(literal -1/16 binary32)) #s(literal -1/2 binary32)))))) u1))
(.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (pow.f32 (pow.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) #s(literal 2 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs

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

Calls

8 calls:

305.0ms	u2
40.0ms	cosTheta_i
40.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
37.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
36.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Results

Accuracy	Segments	Branch
98.9%	1	`cosTheta_i`
98.9%	1	`u1`
98.9%	1	`u2`
98.9%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
98.9%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
98.9%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
98.9%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
98.9%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes240.0ms (1.6%)

Memory

0.1MiB live, 473.4MiB allocated

Counts

102 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)))
(pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 u1))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (.f32 u1 (.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(.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))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (+.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
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(.f32 (sqrt.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))

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

Calls

8 calls:

30.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
30.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
30.0ms	u1
28.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
27.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Results

Accuracy	Segments	Branch
98.9%	1	`u2`
98.9%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
98.9%	1	`cosTheta_i`
98.9%	1	`u1`
98.9%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
98.9%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
98.9%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
98.9%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes172.0ms (1.2%)

Memory

-14.9MiB live, 270.3MiB allocated

Counts

80 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)))
(pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 u1))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (.f32 u1 (.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(.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))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (+.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (+.f32 (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (+.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 (.f32 (.f32 u2 u2) (-.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/126562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (pow.f32 u1 #s(literal 1/2 binary32))) (-.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 u2 u2))) (.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (-.f32 (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (-.f32 (/.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (-.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) #s(literal 1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))) (pow.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (-.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (-.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) #s(literal 1 binary32)))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))) (pow.f32 u1 #s(literal 1/2 binary32)))))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 u1 #s(literal -1/4 binary32)) #s(literal -2 binary32))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(pow.f32 (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 #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 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs

(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))

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

Calls

7 calls:

25.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
23.0ms	cosTheta_i
22.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
22.0ms	u1
22.0ms	u2

Results

Accuracy	Segments	Branch
93.6%	1	`cosTheta_i`
98.3%	2	`u1`
98.5%	2	`u2`
98.3%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
98.3%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
98.2%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
98.5%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes143.0ms (1%)

Memory

8.4MiB live, 242.3MiB allocated

Counts

79 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)))
(pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 u1))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (.f32 u1 (.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(.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))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (+.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (+.f32 (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (+.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 (.f32 (.f32 u2 u2) (-.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/126562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (pow.f32 u1 #s(literal 1/2 binary32))) (-.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 u2 u2))) (.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (-.f32 (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (-.f32 (/.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (-.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) #s(literal 1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))) (pow.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (-.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (-.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) #s(literal 1 binary32)))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))) (pow.f32 u1 #s(literal 1/2 binary32)))))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 u1 #s(literal -1/4 binary32)) #s(literal -2 binary32))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(pow.f32 (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (pow.f32 u1 #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))

Outputs

(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))

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

Calls

6 calls:

23.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
22.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
22.0ms	u1
22.0ms	u2
20.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
97.6%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
97.0%	2	`u1`
97.0%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
97.0%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
98.0%	2	`u2`
98.0%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 38 to 30 computations (21.1% saved)

regimes61.0ms (0.4%)

Memory

3.4MiB live, 119.1MiB allocated

Counts

77 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)))
(pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 u1))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (.f32 u1 (.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(.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))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (+.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (+.f32 (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (+.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 (.f32 (.f32 u2 u2) (-.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/126562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (pow.f32 u1 #s(literal 1/2 binary32))) (-.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 u2 u2))) (.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (-.f32 (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (-.f32 (/.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (-.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) #s(literal 1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))) (pow.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (-.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (-.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) #s(literal 1 binary32)))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))) (pow.f32 u1 #s(literal 1/2 binary32)))))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 u1 #s(literal -1/4 binary32)) #s(literal -2 binary32))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(pow.f32 (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal -1/4 binary32)) #s(literal 2 binary32))

Outputs

(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))

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

Calls

2 calls:

24.0ms	u2
22.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
98.0%	2	`u2`
98.0%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes71.0ms (0.5%)

Memory

20.2MiB live, 108.1MiB allocated

Counts

75 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)))
(pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 u1))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (.f32 u1 (.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(.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))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (+.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (+.f32 (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (+.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 (.f32 (.f32 u2 u2) (-.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/126562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (pow.f32 u1 #s(literal 1/2 binary32))) (-.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 u2 u2))) (.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (-.f32 (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (-.f32 (/.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (-.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) #s(literal 1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))) (pow.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (-.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (-.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) #s(literal 1 binary32)))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))) (pow.f32 u1 #s(literal 1/2 binary32)))))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 u1 #s(literal -1/4 binary32)) #s(literal -2 binary32))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32)))

Outputs

(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))

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

Calls

2 calls:

36.0ms	u2
23.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
98.0%	2	`u2`
98.0%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes59.0ms (0.4%)

Memory

-0.2MiB live, 114.1MiB allocated

Counts

74 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)))
(pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 u1))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 u1))
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(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (pow.f32 u1 #s(literal 1/2 binary32))) (-.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 u2 u2))) (.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (-.f32 (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (-.f32 (/.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (-.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) #s(literal 1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))) (pow.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (-.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (-.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) #s(literal 1 binary32)))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))) (pow.f32 u1 #s(literal 1/2 binary32)))))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 u1 #s(literal -1/4 binary32)) #s(literal -2 binary32))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs

(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))

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

Calls

2 calls:

22.0ms	u2
22.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
98.0%	2	`u2`
98.0%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes152.0ms (1%)

Memory

3.4MiB live, 208.1MiB allocated

Counts

73 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)))
(pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 u1))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (.f32 u1 (.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(.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))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (+.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (+.f32 (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (+.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 (.f32 (.f32 u2 u2) (-.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/126562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (pow.f32 u1 #s(literal 1/2 binary32))) (-.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 u2 u2))) (.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (-.f32 (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (-.f32 (/.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (-.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) #s(literal 1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))) (pow.f32 u1 #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (-.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (-.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) #s(literal 1 binary32)))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))) (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))) (pow.f32 u1 #s(literal 1/2 binary32)))))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 u1 #s(literal -1/4 binary32)) #s(literal -2 binary32))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))

Outputs

(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))

Calls

5 calls:

51.0ms	cosTheta_i
25.0ms	u1
23.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
22.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
22.0ms	u2

Results

Accuracy	Segments	Branch
93.6%	1	`cosTheta_i`
93.6%	1	`u1`
93.6%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
93.6%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
93.6%	1	`u2`

Compiler

Compiled 29 to 22 computations (24.1% saved)

regimes336.0ms (2.3%)

Memory

-27.0MiB live, 134.3MiB allocated

Counts

64 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)))
(pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 u1))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (.f32 u1 (.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(.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))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (+.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (+.f32 (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (+.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 (.f32 (.f32 u2 u2) (-.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/126562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))))

Outputs

(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))

Calls

5 calls:

142.0ms	cosTheta_i
58.0ms	u2
47.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
17.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
17.0ms	u1

Results

Accuracy	Segments	Branch
93.5%	1	`u1`
93.5%	1	`u2`
93.5%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
93.5%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
93.5%	1	`cosTheta_i`

Compiler

Compiled 29 to 22 computations (24.1% saved)

regimes155.0ms (1.1%)

Memory

23.9MiB live, 102.4MiB allocated

Counts

54 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)))
(pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 u1))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (.f32 u1 (.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(.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))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (+.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))

Outputs

(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))

Calls

5 calls:

53.0ms	u2
52.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
15.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
15.0ms	u1
15.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
93.2%	1	`u1`
93.2%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
93.2%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
93.2%	1	`u2`
93.2%	1	`cosTheta_i`

Compiler

Compiled 29 to 22 computations (24.1% saved)

regimes138.0ms (0.9%)

Memory

-1.1MiB live, 83.8MiB allocated

Counts

53 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)))
(pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 u1))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (.f32 u1 (.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(.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))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (+.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))

Outputs

(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 (*.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))

Calls

5 calls:

46.0ms	cosTheta_i
43.0ms	u2
15.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
15.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
14.0ms	u1

Results

Accuracy	Segments	Branch
93.2%	1	`u1`
93.2%	1	`u2`
93.2%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
93.2%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
93.2%	1	`cosTheta_i`

Compiler

Compiled 29 to 22 computations (24.1% saved)

regimes213.0ms (1.4%)

Memory

-0.3MiB live, 77.9MiB allocated

Counts

52 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)))
(pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 u1))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (.f32 u1 (.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(.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))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 u1 #s(literal -1/2 binary32)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (+.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))

Outputs

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

Calls

5 calls:

128.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
37.0ms	cosTheta_i
14.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
14.0ms	u1
14.0ms	u2

Results

Accuracy	Segments	Branch
92.2%	1	`u1`
92.2%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
92.2%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
92.2%	1	`u2`
92.2%	1	`cosTheta_i`

Compiler

Compiled 29 to 22 computations (24.1% saved)

regimes116.0ms (0.8%)

Memory

-19.0MiB live, 61.7MiB allocated

Counts

45 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)))
(pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 u1))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (.f32 u1 (.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(.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))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 u1 #s(literal -1/2 binary32)))

Outputs

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

Calls

5 calls:

43.0ms	u1
31.0ms	cosTheta_i
13.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
12.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
12.0ms	u2

Results

Accuracy	Segments	Branch
92.2%	1	`u1`
92.2%	1	`u2`
92.2%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
92.2%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
92.2%	1	`cosTheta_i`

Compiler

Compiled 29 to 22 computations (24.1% saved)

regimes129.0ms (0.9%)

Memory

7.6MiB live, 85.7MiB allocated

Counts

41 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)))
(pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 u1))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (.f32 u1 (.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(.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))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))))

Outputs

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

Calls

5 calls:

79.0ms	u2
12.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
12.0ms	cosTheta_i
12.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
11.0ms	u1

Results

Accuracy	Segments	Branch
91.9%	1	`u2`
91.9%	1	`u1`
91.9%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
91.9%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
91.9%	1	`cosTheta_i`

Compiler

Compiled 29 to 22 computations (24.1% saved)

regimes113.0ms (0.8%)

Memory

-12.7MiB live, 68.4MiB allocated

Counts

38 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)))
(pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 u1))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (.f32 u1 (.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(.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))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(/.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))

Outputs
(.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

5 calls:

44.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
35.0ms	cosTheta_i
11.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
11.0ms	u1
10.0ms	u2

Results

Accuracy	Segments	Branch
88.8%	1	`cosTheta_i`
88.8%	1	`u2`
88.8%	1	`u1`
88.8%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
88.8%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 29 to 22 computations (24.1% saved)

regimes38.0ms (0.3%)

Memory

11.3MiB live, 49.6MiB allocated

Counts

23 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)))
(pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 u1))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (.f32 u1 (.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))

Outputs

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

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

Calls

5 calls:

9.0ms	cosTheta_i
7.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
7.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
7.0ms	u2
7.0ms	u1

Results

Accuracy	Segments	Branch
85.8%	2	`u2`
81.0%	1	`cosTheta_i`
86.5%	2	`u1`
86.5%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
86.5%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 29 to 22 computations (24.1% saved)

regimes50.0ms (0.3%)

Memory

1.7MiB live, 40.5MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 u1 u1) #s(literal -1/4 binary32)))
(pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(sqrt.f32 (.f32 u1 (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) (sqrt.f32 u1))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (.f32 u1 (.f32 (+.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))

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

Calls

5 calls:

23.0ms	u2
6.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
6.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
6.0ms	cosTheta_i
6.0ms	u1

Results

Accuracy	Segments	Branch
81.0%	1	`cosTheta_i`
81.0%	1	`u2`
81.0%	1	`u1`
81.0%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
81.0%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 29 to 22 computations (24.1% saved)

regimes8.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))

Outputs
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))

Calls

3 calls:

3.0ms	cosTheta_i
3.0ms	u1
3.0ms	u2

Results

Accuracy	Segments	Branch
72.7%	1	`u1`
72.7%	1	`u2`
72.7%	1	`cosTheta_i`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated

Accuracy

Total -19.7b remaining (-177%)

Threshold costs -19.7b (-177%)

Counts

5 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))

Outputs
(sqrt.f32 u1)

Calls

3 calls:

2.0ms	u1
2.0ms	u2
2.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
65.2%	1	`u1`
65.2%	1	`u2`
65.2%	1	`cosTheta_i`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.35319700837135315	0.4169587790966034

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch29.0ms (0.2%)

Memory

-37.3MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0129576921463013	1.0977098941802979

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0129576921463013	1.0977098941802979

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0129576921463013	1.0977098941802979

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0129576921463013	1.0977098941802979

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00033235762384720147	0.0003679234650917351

Compiler

Compiled 17 to 17 computations (0% saved)

simplify27.0ms (0.2%)

Memory

16.9MiB live, 16.9MiB allocated

Algorithm

1×	egg-herbie

Rules

82×	`*-commutative_binary32`
54×	`+-commutative_binary32`
24×	`neg-mul-1_binary32`
24×	`sub-neg_binary32`
22×	`neg-sub0_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	547
1	147	547
2	160	547
3	181	540
4	201	540
5	214	540
6	229	540
7	237	540
8	241	540
9	242	540

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.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)))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13421773/33554432 binary32)) (.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 4404019/4194304 binary32)) (.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 4404019/4194304 binary32)) (.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 4404019/4194304 binary32)) (.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 4404019/4194304 binary32)) (.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(.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))))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3006477/8589934592 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 u1)

Outputs
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal -1 binary32) (.f32 u1 (-.f32 #s(literal -1 binary32) u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13421773/33554432 binary32)) (.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13421773/33554432 binary32)) (.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal -1 binary32) (.f32 u1 (-.f32 #s(literal -1 binary32) u1))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 4404019/4194304 binary32)) (.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 4404019/4194304 binary32)) (.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal -1 binary32) (.f32 u1 (-.f32 #s(literal -1 binary32) u1))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 4404019/4194304 binary32)) (.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 4404019/4194304 binary32)) (.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal -1 binary32) (.f32 u1 (-.f32 #s(literal -1 binary32) u1))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 4404019/4194304 binary32)) (.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 4404019/4194304 binary32)) (.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal -1 binary32) (.f32 u1 (-.f32 #s(literal -1 binary32) u1))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal -1/2 binary32))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 4404019/4194304 binary32)) (.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 4404019/4194304 binary32)) (.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal -1 binary32) (.f32 u1 (-.f32 #s(literal -1 binary32) u1))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal -1 binary32) (.f32 u1 (-.f32 #s(literal -1 binary32) u1))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(.f32 (sqrt.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))))))) (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))))))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(.f32 (sqrt.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u2 (.f32 u2 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(.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))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3006477/8589934592 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))) (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3006477/8589934592 binary32)) (.f32 (sqrt.f32 (.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 u1)

soundness1.9s (13%)

Memory

12.5MiB live, 1 322.3MiB allocated

Rules

21 824×	`accelerator-lowering-fma.f32`
21 824×	`accelerator-lowering-fma.f64`
16 954×	`accelerator-lowering-fma.f32`
16 954×	`accelerator-lowering-fma.f64`
14 936×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	177
1	226	173
2	1957	173
0	8711	165
0	180	906
1	523	815
2	1543	747
3	4760	699
0	8231	673
0	446	4249
1	1347	3895
2	4333	3632
0	8191	3428
0	394	3570
1	1207	3070
2	3896	2892
0	8115	2758
0	10	28
1	40	28
2	231	28
3	1947	28
0	9665	28
0	31	157
1	170	117
2	1245	113
0	9188	105
0	444	4644
1	1373	4155
2	4555	3791
0	8233	3605

Stop Event

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

Compiler

Compiled 1 253 to 618 computations (50.7% saved)

preprocess136.0ms (0.9%)

Memory

-26.6MiB live, 299.4MiB allocated

Remove

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 2 050 to 822 computations (59.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	36	117
1	78	115
2	128	115
3	215	113
4	361	113
5	611	113
6	775	113
7	871	113
8	910	113
9	930	113
10	934	113
0	10	11
1	16	11
2	20	11
3	25	11
4	32	11
5	42	11
6	57	11
7	80	11
8	102	11
9	110	11
10	112	11
0	112	11

Iter	Nodes	Cost
0	10	36
1	16	36
2	20	36
3	25	36
4	32	36
5	42	36
6	57	36
7	80	36
8	102	36
9	110	36
10	112	36
0	112	36

Iter	Nodes	Cost
0	95	547
1	147	547
2	160	547
3	181	540
4	201	540
5	214	540
6	229	540
7	237	540
8	241	540
9	242	540

Iter	Nodes	Cost
0	36	117
1	78	115
2	128	115
3	215	113
4	361	113
5	611	113
6	775	113
7	871	113
8	910	113
9	930	113
10	934	113
0	10	11
1	16	11
2	20	11
3	25	11
4	32	11
5	42	11
6	57	11
7	80	11
8	102	11
9	110	11
10	112	11
0	112	11

Iter	Nodes	Cost
0	10	36
1	16	36
2	20	36
3	25	36
4	32	36
5	42	36
6	57	36
7	80	36
8	102	36
9	110	36
10	112	36
0	112	36

Iter	Nodes	Cost
0	95	547
1	147	547
2	160	547
3	181	540
4	201	540
5	214	540
6	229	540
7	237	540
8	241	540
9	242	540

analyze255.0ms (1.7%)

sample1.9s (13%)

preprocess33.0ms (0.2%)

explain186.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0%)

localize35.0ms (0.2%)

series8.0ms (0.1%)

rewrite449.0ms (3%)

simplify657.0ms (4.4%)

eval83.0ms (0.6%)

prune156.0ms (1.1%)

simplify461.0ms (3.1%)

localize159.0ms (1.1%)

series31.0ms (0.2%)

rewrite392.0ms (2.7%)

simplify644.0ms (4.4%)

eval118.0ms (0.8%)

prune193.0ms (1.3%)

simplify417.0ms (2.8%)

localize115.0ms (0.8%)

series17.0ms (0.1%)

rewrite359.0ms (2.4%)

simplify572.0ms (3.9%)

eval99.0ms (0.7%)

prune168.0ms (1.1%)

simplify549.0ms (3.7%)

localize240.0ms (1.6%)

series25.0ms (0.2%)

rewrite547.0ms (3.7%)

simplify554.0ms (3.8%)

eval152.0ms (1%)

prune265.0ms (1.8%)

regimes580.0ms (3.9%)

regimes240.0ms (1.6%)

regimes172.0ms (1.2%)

regimes143.0ms (1%)

regimes61.0ms (0.4%)

regimes71.0ms (0.5%)

regimes59.0ms (0.4%)

regimes152.0ms (1%)

regimes336.0ms (2.3%)

regimes155.0ms (1.1%)

regimes138.0ms (0.9%)

regimes213.0ms (1.4%)

regimes116.0ms (0.8%)

regimes129.0ms (0.9%)

regimes113.0ms (0.8%)

regimes38.0ms (0.3%)

regimes50.0ms (0.3%)

regimes8.0ms (0.1%)

regimes7.0ms (0%)

bsearch1.0ms (0%)

bsearch29.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify27.0ms (0.2%)

soundness1.9s (13%)

preprocess136.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	36	117
1	78	115
2	128	115
3	215	113
4	361	113
5	611	113
6	775	113
7	871	113
8	910	113
9	930	113
10	934	113
0	10	11
1	16	11
2	20	11
3	25	11
4	32	11
5	42	11
6	57	11
7	80	11
8	102	11
9	110	11
10	112	11
0	112	11

Iter	Nodes	Cost
0	10	36
1	16	36
2	20	36
3	25	36
4	32	36
5	42	36
6	57	36
7	80	36
8	102	36
9	110	36
10	112	36
0	112	36

Iter	Nodes	Cost
0	95	547
1	147	547
2	160	547
3	181	540
4	201	540
5	214	540
6	229	540
7	237	540
8	241	540
9	242	540