Metrics for Migdal et al, Equation (64)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 21 to 14 computations (33.3% saved)

sample1.0s (8.9%)

Memory

8.8MiB live, 1 685.4MiB allocated

Samples

731.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 541.0ms

ival-mult: 191.0ms (35.3% of total)

ival-cos: 185.0ms (34.2% of total)

ival-sqrt: 69.0ms (12.8% of total)

ival-div: 49.0ms (9.1% of total)

ival-add: 33.0ms (6.1% of total)

ival-true: 5.0ms (0.9% of total)

exact: 5.0ms (0.9% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain131.0ms (1.1%)

Memory

-7.7MiB live, 244.5MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`a1`
-	-	`(*.f64 a1 a1)`
-	-	`(sqrt.f64 #s(literal 2 binary64))`
-	-	`th`
-	-	`#s(literal 2 binary64)`
-	-	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
-	-	`(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))`
-	-	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
-	-	`(*.f64 a2 a2)`
-	-	`(cos.f64 th)`
-	-	`(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))`
-	-	`a2`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

52.0ms

512×

valid

Compiler

Compiled 138 to 40 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 12.0ms (34.7% of total)

ival-cos: 11.0ms (31.9% of total)

ival-div: 5.0ms (14.5% of total)

ival-add: 3.0ms (8.7% of total)

ival-sqrt: 3.0ms (8.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess134.0ms (1.2%)

Memory

2.3MiB live, 40.1MiB allocated

Algorithm

1×	egg-herbie

Rules

1 520×	`times-frac`
1 254×	`distribute-lft-in`
1 236×	`distribute-rgt-in`
946×	`div-sub`
714×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	120
1	130	120
2	373	120
3	1018	120
4	2414	120
5	4784	120
6	5686	120
7	6500	120
8	6573	120
9	6589	120
10	6760	120
11	6878	120
12	6890	120
13	6890	120
14	6890	120
0	12	19
0	20	13
1	33	13
2	58	13
3	88	13
4	100	13
0	100	12

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))

Outputs

(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))

(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))

Symmetry

(abs th)

(abs a2)

(abs a1)

(sort a1 a2)

Compiler

Compiled 22 to 12 computations (45.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))

Compiler

Compiled 22 to 12 computations (45.5% saved)

simplify5.0ms (0%)

Memory

7.7MiB live, 7.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 th)
cost-diff	0	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
cost-diff	8192	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))

Rules

100×	`lower-*.f32`
92×	`lower-*.f64`
60×	`lower-fma.f64`
60×	`lower-fma.f32`
48×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
0	20	50
1	33	50
2	58	50
3	88	50
4	100	50
0	100	49

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(cos.f64 th)
th
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 a1 a1)
a1
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
(*.f64 a2 a2)
a2

Outputs
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
(.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 (cos.f64 th)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(cos.f64 th)
th
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 a1 a1)
a1
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
(.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 (cos.f64 th)))
(*.f64 a2 a2)
a2

localize41.0ms (0.4%)

Memory

-11.3MiB live, 71.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.015625	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
accuracy	0.189785009768442	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
accuracy	0.21550751953688402	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
accuracy	0.701503759768442	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Samples

25.0ms

256×

valid

Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions

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

ival-cos: 5.0ms (30.5% of total)

ival-mult: 5.0ms (30.5% of total)

ival-sqrt: 3.0ms (18.3% of total)

ival-div: 1.0ms (6.1% of total)

ival-add: 1.0ms (6.1% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.2%)

Memory

-5.4MiB live, 33.1MiB allocated

Counts

5 → 108

Calls

Call 1

Inputs
#s(alt (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (patch (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (patch (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (cos.f64 th) (patch (cos.f64 th) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) (patch (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) #<representation binary64>) () ())

Outputs
#s(alt (/ (* (pow a2 2) (cos th)) (sqrt 2)) (taylor 0 a1) (#s(alt (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (patch (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (taylor 0 a1) (#s(alt (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (patch (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (taylor 0 a1) (#s(alt (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (patch (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (taylor 0 a1) (#s(alt (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (patch (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a1 2) (cos th)) (sqrt 2)) (taylor 0 a1) (#s(alt (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (patch (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a1 2) (cos th)) (sqrt 2)) (taylor 0 a1) (#s(alt (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (patch (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a1 2) (cos th)) (sqrt 2)) (taylor 0 a1) (#s(alt (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (patch (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a1 2) (cos th)) (sqrt 2)) (taylor 0 a1) (#s(alt (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (patch (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a1 2) (cos th)) (sqrt 2)) (taylor inf a1) (#s(alt (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (patch (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2))))) (taylor inf a1) (#s(alt (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (patch (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2))))) (taylor inf a1) (#s(alt (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (patch (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2))))) (taylor inf a1) (#s(alt (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (patch (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a1 2) (cos th)) (sqrt 2)) (taylor inf a1) (#s(alt (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (patch (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a1 2) (cos th)) (sqrt 2)) (taylor inf a1) (#s(alt (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (patch (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a1 2) (cos th)) (sqrt 2)) (taylor inf a1) (#s(alt (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (patch (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a1 2) (cos th)) (sqrt 2)) (taylor inf a1) (#s(alt (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (patch (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a1 2) (cos th)) (sqrt 2)) (taylor -inf a1) (#s(alt (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (patch (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2))))) (taylor -inf a1) (#s(alt (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (patch (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2))))) (taylor -inf a1) (#s(alt (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (patch (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2))))) (taylor -inf a1) (#s(alt (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (patch (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a1 2) (cos th)) (sqrt 2)) (taylor -inf a1) (#s(alt (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (patch (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a1 2) (cos th)) (sqrt 2)) (taylor -inf a1) (#s(alt (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (patch (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a1 2) (cos th)) (sqrt 2)) (taylor -inf a1) (#s(alt (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (patch (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a1 2) (cos th)) (sqrt 2)) (taylor -inf a1) (#s(alt (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (patch (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (taylor 0 th) (#s(alt (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (patch (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #<representation binary64>) () ())) ())
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#s(alt (/ (* (pow a1 2) (cos th)) (sqrt 2)) (taylor 0 a2) (#s(alt (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (patch (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (taylor 0 a2) (#s(alt (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (patch (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (taylor 0 a2) (#s(alt (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (patch (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (taylor 0 a2) (#s(alt (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (patch (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a2 2) (cos th)) (sqrt 2)) (taylor 0 a2) (#s(alt (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) (patch (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a2 2) (cos th)) (sqrt 2)) (taylor 0 a2) (#s(alt (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) (patch (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a2 2) (cos th)) (sqrt 2)) (taylor 0 a2) (#s(alt (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) (patch (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a2 2) (cos th)) (sqrt 2)) (taylor 0 a2) (#s(alt (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) (patch (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a2 2) (cos th)) (sqrt 2)) (taylor inf a2) (#s(alt (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (patch (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))) (taylor inf a2) (#s(alt (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (patch (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))) (taylor inf a2) (#s(alt (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (patch (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))) (taylor inf a2) (#s(alt (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (patch (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a2 2) (cos th)) (sqrt 2)) (taylor inf a2) (#s(alt (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) (patch (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a2 2) (cos th)) (sqrt 2)) (taylor inf a2) (#s(alt (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) (patch (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a2 2) (cos th)) (sqrt 2)) (taylor inf a2) (#s(alt (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) (patch (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a2 2) (cos th)) (sqrt 2)) (taylor inf a2) (#s(alt (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) (patch (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a2 2) (cos th)) (sqrt 2)) (taylor -inf a2) (#s(alt (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (patch (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))) (taylor -inf a2) (#s(alt (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (patch (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))) (taylor -inf a2) (#s(alt (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (patch (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))) (taylor -inf a2) (#s(alt (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (patch (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a2 2) (cos th)) (sqrt 2)) (taylor -inf a2) (#s(alt (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) (patch (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a2 2) (cos th)) (sqrt 2)) (taylor -inf a2) (#s(alt (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) (patch (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a2 2) (cos th)) (sqrt 2)) (taylor -inf a2) (#s(alt (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) (patch (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a2 2) (cos th)) (sqrt 2)) (taylor -inf a2) (#s(alt (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) (patch (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	a2	@	inf	((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
2.0ms	a2	@	0	((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
2.0ms	a1	@	0	((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
2.0ms	th	@	0	((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
2.0ms	th	@	inf	((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) (* (/ (cos th) (sqrt 2)) (* a2 a2)))

simplify232.0ms (2%)

Memory

33.0MiB live, 345.4MiB allocated

Algorithm

1×	egg-herbie

Rules

34 694×	`lower-fma.f64`
34 694×	`lower-fma.f32`
6 426×	`lower-*.f64`
6 426×	`lower-*.f32`
4 620×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	1498
1	343	1366
2	1206	1262
3	3900	1233
0	8428	1172

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(/ (pow a1 2) (sqrt 2))
(+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))) (/ (pow a1 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a1 2) (sqrt 2))))))) (/ (pow a1 2) (sqrt 2)))
(/ 1 (sqrt 2))
(+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))
(+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))
(+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))
1
(+ 1 (* -1/2 (pow th 2)))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(/ (pow a2 2) (sqrt 2))
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(cos th)
(cos th)
(cos th)
(cos th)
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(cos th)
(cos th)
(cos th)
(cos th)
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))

Outputs
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(.f64 (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64)) th) th #s(literal 1 binary64)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(fma.f64 (.f64 (.f64 (.f64 (/.f64 th (sqrt.f64 #s(literal 2 binary64))) th) (fma.f64 a1 a1 (.f64 a2 a2))) (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64))) (.f64 th th) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
(/ (pow a1 2) (sqrt 2))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))
(.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (*.f64 th th)) a1 a1))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))) (/ (pow a1 2) (sqrt 2)))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64)) th) th #s(literal 1 binary64)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a1 2) (sqrt 2))))))) (/ (pow a1 2) (sqrt 2)))
(fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th) #s(literal -1/2 binary64))) (.f64 th th)))
(/ 1 (sqrt 2))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))
(fma.f64 (.f64 (/.f64 th (sqrt.f64 #s(literal 2 binary64))) th) (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))
(fma.f64 (.f64 (/.f64 th (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) th)) (.f64 th th) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow th 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64)) th) th #s(literal 1 binary64))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))
(/ (pow a2 2) (sqrt 2))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))
(.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (*.f64 th th)) a2 a2))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))
(.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64)) th) th #s(literal 1 binary64)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (.f64 (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th) #s(literal -1/2 binary64))) (.f64 th th)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/ (cos th) (sqrt 2))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/ (cos th) (sqrt 2))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/ (cos th) (sqrt 2))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/ (cos th) (sqrt 2))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/ (cos th) (sqrt 2))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/ (cos th) (sqrt 2))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/ (cos th) (sqrt 2))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/ (cos th) (sqrt 2))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (fma.f64 (/.f64 a1 (.f64 a2 a2)) a1 #s(literal 1 binary64)) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (fma.f64 (/.f64 a1 (.f64 a2 a2)) a1 #s(literal 1 binary64)) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (fma.f64 (/.f64 a1 (.f64 a2 a2)) a1 #s(literal 1 binary64)) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (fma.f64 (/.f64 a1 (.f64 a2 a2)) a1 #s(literal 1 binary64)) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (fma.f64 (/.f64 a1 (.f64 a2 a2)) a1 #s(literal 1 binary64)) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (fma.f64 (/.f64 a1 (.f64 a2 a2)) a1 #s(literal 1 binary64)) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))

rewrite204.0ms (1.8%)

Memory

-18.1MiB live, 305.0MiB allocated

Rules

6 176×	`lower-fma.f64`
6 176×	`lower-fma.f32`
4 662×	`lower-*.f32`
4 654×	`lower-*.f64`
2 804×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
0	20	38
1	58	38
2	411	38
3	7331	38
0	8434	37

Stop Event

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

Counts

5 → 327

Calls

Call 1

Inputs
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(cos.f64 th)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))

Outputs
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (cos.f64 th)))
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(/.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a1 (cos.f64 th)) a1)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a1 (cos.f64 th)) a1)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(neg.f64 (.f64 (neg.f64 a1) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (cos.f64 th)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (cos.f64 th) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 th)))
(*.f64 #s(literal 1 binary64) (cos.f64 th))
(*.f64 (cos.f64 th) #s(literal 1 binary64))
(neg.f64 (neg.f64 (cos.f64 th)))
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 th)))
(cos.f64 th)
(.f64 (/.f64 (.f64 a2 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (cos.f64 th)))
(.f64 (/.f64 (.f64 a2 a2) #s(literal -1 binary64)) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 a2 (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64)) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(.f64 (.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (*.f64 a2 (cos.f64 th)) (neg.f64 a2)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (*.f64 a2 (cos.f64 th)) a2) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2)
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 a2 (cos.f64 th)) a2))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)))
(.f64 (neg.f64 (cos.f64 th)) (/.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (neg.f64 (cos.f64 th)) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a2 (cos.f64 th)) a2)) #s(literal -1 binary64))
(/.f64 (/.f64 (.f64 (.f64 a2 (cos.f64 th)) (neg.f64 a2)) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 a2 (cos.f64 th)) (neg.f64 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (*.f64 a2 (cos.f64 th)) a2) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 a2 a2) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(/.f64 (.f64 (.f64 (*.f64 a2 (cos.f64 th)) a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(/.f64 (*.f64 (neg.f64 a2) a2) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(/.f64 (.f64 (.f64 a2 (cos.f64 th)) (neg.f64 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a2 (cos.f64 th)) a2))))
(/.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a2 (cos.f64 th)) a2)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a2 (cos.f64 th)) a2)))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(neg.f64 (.f64 (neg.f64 a2) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))))

eval56.0ms (0.5%)

Memory: 5.1MiB live, 123.8MiB allocated
Compiler: Compiled 14 708 to 1 019 computations (93.1% saved)

prune92.0ms (0.8%)

Memory

-12.7MiB live, 187.5MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	474	16	490
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	475	16	491

Accuracy

100.0%

Counts

491 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1) (.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)))
	99.6%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
	99.5%	(/.f64 (/.f64 (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
	17.6%	(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 a2 a2) a2) a2) (.f64 a2 a2) (.f64 (.f64 (.f64 (.f64 a1 a1) a1) a1) (.f64 a1 a1))) (cos.f64 th)) (.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) a1 (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
▶	99.7%	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
	28.4%	(/.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (cos.f64 th)) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))))
▶	99.6%	(.f64 (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
▶	99.7%	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
	99.6%	(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
	99.6%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
▶	68.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
▶	49.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
	59.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
	98.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 678 to 396 computations (41.6% saved)

simplify127.0ms (1.1%)

Memory

28.0MiB live, 105.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 th)
cost-diff	0	(*.f64 a2 (cos.f64 th))
cost-diff	0	(.f64 (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
cost-diff	7680	(fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	0	(/.f64 a2 (*.f64 a1 a1))
cost-diff	0	(fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
cost-diff	1344	(.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	0	(*.f64 a1 a1)
cost-diff	0	(fma.f64 a2 a2 (*.f64 a1 a1))
cost-diff	0	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
cost-diff	0	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
cost-diff	1344	(fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
cost-diff	0	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(*.f64 a1 a1)
cost-diff	0	(fma.f64 a2 a2 (*.f64 a1 a1))
cost-diff	0	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))

Rules

4 284×	`lower-*.f32`
4 260×	`lower-*.f64`
3 630×	`lower-fma.f32`
3 622×	`lower-fma.f64`
3 058×	`associate-/l*`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	39	305
0	64	285
1	114	273
2	219	273
3	509	273
4	1299	273
5	2988	261
6	3747	261
7	3867	261
8	3945	261
9	4229	261
10	4509	261
11	5100	261
12	5568	261
13	5782	261
14	5826	261
15	5851	261
16	5851	261
17	7540	261
0	8011	261

Stop Event

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

Calls

Call 1

Inputs
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 a2 a2 (*.f64 a1 a1))
a2
(*.f64 a1 a1)
a1
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(cos.f64 th)
th
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
(fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
a1
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
a2
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(fma.f64 a2 a2 (*.f64 a1 a1))
a2
(*.f64 a1 a1)
a1
(cos.f64 th)
th
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64))
(/.f64 a2 (*.f64 a1 a1))
a2
(*.f64 a1 a1)
a1
#s(literal 1 binary64)
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a1 (cos.f64 th))
(cos.f64 th)
th
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 a2 (cos.f64 th))
a2
(cos.f64 th)
th
(*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (.f64 a1 (cos.f64 th)) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a1 (cos.f64 th))
a1
(*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1/2 binary64)

Outputs
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
(fma.f64 a2 a2 (*.f64 a1 a1))
a2
(*.f64 a1 a1)
a1
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(cos.f64 th)
th
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
a1
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
a2
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))
(fma.f64 a2 a2 (*.f64 a1 a1))
a2
(*.f64 a1 a1)
a1
(cos.f64 th)
th
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))))
(.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
(fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64))
(/.f64 a2 (*.f64 a1 a1))
a2
(*.f64 a1 a1)
a1
#s(literal 1 binary64)
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 (cos.f64 th) a1)
(cos.f64 th)
th
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))))
(fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 a2 (cos.f64 th))
(*.f64 (cos.f64 th) a2)
a2
(cos.f64 th)
th
(*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (.f64 a1 (cos.f64 th)) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))
(*.f64 a1 (cos.f64 th))
(*.f64 (cos.f64 th) a1)
a1
(*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)
#s(literal 1/2 binary64)

localize162.0ms (1.4%)

Memory

-23.9MiB live, 181.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.15462875976844204	(.f64 (.f64 a1 (cos.f64 th)) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.171875	(fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0.38671875	(*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.4609375	(*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.51171875	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
accuracy	3.1768038404720222	(fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64))
accuracy	8.906250564020345	(/.f64 a2 (*.f64 a1 a1))
accuracy	25.78125364133356	(.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0	(cos.f64 th)
accuracy	0.0703125	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
accuracy	0.185878759768442	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.14453125	(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
accuracy	0.4140625	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.51171875	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
accuracy	20.359306873493583	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0	(cos.f64 th)
accuracy	0.21550751953688402	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.701503759768442	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Samples

114.0ms

256×

valid

Compiler

Compiled 285 to 38 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 41.0ms (44.2% of total)

ival-div: 35.0ms (37.7% of total)

ival-cos: 10.0ms (10.8% of total)

ival-add: 5.0ms (5.4% of total)

ival-sqrt: 2.0ms (2.2% of total)

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

exact: 0.0ms (0% of total)

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

series103.0ms (0.9%)

Memory

-2.8MiB live, 113.2MiB allocated

Counts

23 → 528

Calls

Call 1

Inputs
#s(alt (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (patch (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 a2 a2 (.f64 a1 a1)) (patch (fma.f64 a2 a2 (.f64 a1 a1)) #<representation binary64>) () ())
#s(alt (.f64 a1 a1) (patch (.f64 a1 a1) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) (patch (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) #<representation binary64>) () ())
#s(alt (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 2 binary64)) (patch (sqrt.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (patch (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (patch (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (patch #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (patch (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 a2 (.f64 a1 a1)) (patch (/.f64 a2 (.f64 a1 a1)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (patch (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (patch (.f64 (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 a2 (cos.f64 th)) (patch (.f64 a2 (cos.f64 th)) #<representation binary64>) () ())
#s(alt (cos.f64 th) (patch (cos.f64 th) #<representation binary64>) () ())
#s(alt (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (patch (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #<representation binary64>) () ())
#s(alt (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (patch (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())

Outputs
#s(alt (/ (* (pow a2 2) (cos th)) (sqrt 2)) (taylor 0 a1) (#s(alt (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (patch (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (taylor 0 a1) (#s(alt (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (patch (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (taylor 0 a1) (#s(alt (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (patch (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (taylor 0 a1) (#s(alt (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (patch (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow a2 2) (taylor 0 a1) (#s(alt (fma.f64 a2 a2 (.f64 a1 a1)) (patch (fma.f64 a2 a2 (.f64 a1 a1)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a1 2) (pow a2 2)) (taylor 0 a1) (#s(alt (fma.f64 a2 a2 (.f64 a1 a1)) (patch (fma.f64 a2 a2 (.f64 a1 a1)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a1 2) (pow a2 2)) (taylor 0 a1) (#s(alt (fma.f64 a2 a2 (.f64 a1 a1)) (patch (fma.f64 a2 a2 (.f64 a1 a1)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a1 2) (pow a2 2)) (taylor 0 a1) (#s(alt (fma.f64 a2 a2 (.f64 a1 a1)) (patch (fma.f64 a2 a2 (.f64 a1 a1)) #<representation binary64>) () ())) ())
#s(alt (pow a1 2) (taylor 0 a1) (#s(alt (.f64 a1 a1) (patch (.f64 a1 a1) #<representation binary64>) () ())) ())
#s(alt (pow a1 2) (taylor 0 a1) (#s(alt (.f64 a1 a1) (patch (.f64 a1 a1) #<representation binary64>) () ())) ())
#s(alt (pow a1 2) (taylor 0 a1) (#s(alt (.f64 a1 a1) (patch (.f64 a1 a1) #<representation binary64>) () ())) ())
#s(alt (pow a1 2) (taylor 0 a1) (#s(alt (.f64 a1 a1) (patch (.f64 a1 a1) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (sqrt 2)) (taylor 0 a1) (#s(alt (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) (patch (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (taylor 0 a1) (#s(alt (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) (patch (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (taylor 0 a1) (#s(alt (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) (patch (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (taylor 0 a1) (#s(alt (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) (patch (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a2 2) (cos th)) (sqrt 2)) (taylor 0 a1) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (taylor 0 a1) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (taylor 0 a1) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (taylor 0 a1) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) #<representation binary64>) () ())) ())
#s(alt (/ a1 (sqrt 2)) (taylor 0 a1) (#s(alt (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ a1 (sqrt 2)) (taylor 0 a1) (#s(alt (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ a1 (sqrt 2)) (taylor 0 a1) (#s(alt (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ a1 (sqrt 2)) (taylor 0 a1) (#s(alt (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a2 2) (cos th)) (sqrt 2)) (taylor 0 a1) (#s(alt (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (taylor 0 a1) (#s(alt (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ (* (pow a2 2) (cos th)) (sqrt 2)) (taylor -inf a2) (#s(alt (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))) (taylor -inf a2) (#s(alt (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))) (taylor -inf a2) (#s(alt (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))) (taylor -inf a2) (#s(alt (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (cos th)) (taylor -inf a2) (#s(alt (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (patch (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2)))) (taylor -inf a2) (#s(alt (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (patch (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2)))) (taylor -inf a2) (#s(alt (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (patch (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2)))) (taylor -inf a2) (#s(alt (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (patch (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a2 2) (cos th)) (sqrt 2)) (taylor -inf a2) (#s(alt (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (patch (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))) (taylor -inf a2) (#s(alt (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (patch (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))) (taylor -inf a2) (#s(alt (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (patch (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))) (taylor -inf a2) (#s(alt (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (patch (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a2 2) (cos th)) (sqrt 2)) (taylor -inf a2) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (patch #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))) (taylor -inf a2) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (patch #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))) (taylor -inf a2) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (patch #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))) (taylor -inf a2) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (patch #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (pow a1 2)) (taylor -inf a2) (#s(alt (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (patch (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))) (taylor -inf a2) (#s(alt (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (patch (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))) (taylor -inf a2) (#s(alt (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (patch (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))) (taylor -inf a2) (#s(alt (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (patch (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ a2 (pow a1 2)) (taylor -inf a2) (#s(alt (/.f64 a2 (.f64 a1 a1)) (patch (/.f64 a2 (.f64 a1 a1)) #<representation binary64>) () ())) ())
#s(alt (/ a2 (pow a1 2)) (taylor -inf a2) (#s(alt (/.f64 a2 (.f64 a1 a1)) (patch (/.f64 a2 (.f64 a1 a1)) #<representation binary64>) () ())) ())
#s(alt (/ a2 (pow a1 2)) (taylor -inf a2) (#s(alt (/.f64 a2 (.f64 a1 a1)) (patch (/.f64 a2 (.f64 a1 a1)) #<representation binary64>) () ())) ())
#s(alt (/ a2 (pow a1 2)) (taylor -inf a2) (#s(alt (/.f64 a2 (.f64 a1 a1)) (patch (/.f64 a2 (.f64 a1 a1)) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (* (cos th) (sqrt 2))) (taylor -inf a2) (#s(alt (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (patch (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))) (taylor -inf a2) (#s(alt (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (patch (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))) (taylor -inf a2) (#s(alt (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (patch (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))) (taylor -inf a2) (#s(alt (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (patch (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))) (taylor -inf a2) (#s(alt (.f64 (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (patch (.f64 (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))) (taylor -inf a2) (#s(alt (.f64 (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (patch (.f64 (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))) (taylor -inf a2) (#s(alt (.f64 (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (patch (.f64 (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))) (taylor -inf a2) (#s(alt (.f64 (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (patch (.f64 (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a2 (cos th)) (taylor -inf a2) (#s(alt (.f64 a2 (cos.f64 th)) (patch (.f64 a2 (cos.f64 th)) #<representation binary64>) () ())) ())
#s(alt (* a2 (cos th)) (taylor -inf a2) (#s(alt (.f64 a2 (cos.f64 th)) (patch (.f64 a2 (cos.f64 th)) #<representation binary64>) () ())) ())
#s(alt (* a2 (cos th)) (taylor -inf a2) (#s(alt (.f64 a2 (cos.f64 th)) (patch (.f64 a2 (cos.f64 th)) #<representation binary64>) () ())) ())
#s(alt (* a2 (cos th)) (taylor -inf a2) (#s(alt (.f64 a2 (cos.f64 th)) (patch (.f64 a2 (cos.f64 th)) #<representation binary64>) () ())) ())
#s(alt (/ a2 (sqrt 2)) (taylor -inf a2) (#s(alt (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ a2 (sqrt 2)) (taylor -inf a2) (#s(alt (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ a2 (sqrt 2)) (taylor -inf a2) (#s(alt (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ a2 (sqrt 2)) (taylor -inf a2) (#s(alt (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (sqrt 2)) (taylor -inf a2) (#s(alt (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (patch (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (sqrt 2)) (taylor -inf a2) (#s(alt (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (patch (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (sqrt 2)) (taylor -inf a2) (#s(alt (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (patch (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (sqrt 2)) (taylor -inf a2) (#s(alt (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (patch (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #<representation binary64>) () ())) ())
#s(alt (* a2 (sqrt 2)) (taylor -inf a2) (#s(alt (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* a2 (sqrt 2)) (taylor -inf a2) (#s(alt (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* a2 (sqrt 2)) (taylor -inf a2) (#s(alt (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* a2 (sqrt 2)) (taylor -inf a2) (#s(alt (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	a2	@	inf	((* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (/ (cos th) (sqrt 2)) (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ a1 (sqrt 2)) (sqrt 2) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (* (+ (* (/ a2 (* a1 a1)) a2) 1) (* (* a1 (cos th)) (/ a1 (sqrt 2)))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (* a1 a1)) a2) 1) (/ a2 (* a1 a1)) (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (* (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) 1/2) (* a2 (cos th)) (cos th) (/ a2 (sqrt 2)) (* (/ a2 (sqrt 2)) a2) (* a2 (sqrt 2)) (* a1 (sqrt 2)) (* (* a1 (cos th)) (* a1 (sqrt 2))))
20.0ms	th	@	0	((* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (/ (cos th) (sqrt 2)) (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ a1 (sqrt 2)) (sqrt 2) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (* (+ (* (/ a2 (* a1 a1)) a2) 1) (* (* a1 (cos th)) (/ a1 (sqrt 2)))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (* a1 a1)) a2) 1) (/ a2 (* a1 a1)) (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (* (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) 1/2) (* a2 (cos th)) (cos th) (/ a2 (sqrt 2)) (* (/ a2 (sqrt 2)) a2) (* a2 (sqrt 2)) (* a1 (sqrt 2)) (* (* a1 (cos th)) (* a1 (sqrt 2))))
5.0ms	a1	@	0	((* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (/ (cos th) (sqrt 2)) (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ a1 (sqrt 2)) (sqrt 2) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (* (+ (* (/ a2 (* a1 a1)) a2) 1) (* (* a1 (cos th)) (/ a1 (sqrt 2)))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (* a1 a1)) a2) 1) (/ a2 (* a1 a1)) (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (* (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) 1/2) (* a2 (cos th)) (cos th) (/ a2 (sqrt 2)) (* (/ a2 (sqrt 2)) a2) (* a2 (sqrt 2)) (* a1 (sqrt 2)) (* (* a1 (cos th)) (* a1 (sqrt 2))))
5.0ms	th	@	inf	((* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (/ (cos th) (sqrt 2)) (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ a1 (sqrt 2)) (sqrt 2) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (* (+ (* (/ a2 (* a1 a1)) a2) 1) (* (* a1 (cos th)) (/ a1 (sqrt 2)))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (* a1 a1)) a2) 1) (/ a2 (* a1 a1)) (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (* (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) 1/2) (* a2 (cos th)) (cos th) (/ a2 (sqrt 2)) (* (/ a2 (sqrt 2)) a2) (* a2 (sqrt 2)) (* a1 (sqrt 2)) (* (* a1 (cos th)) (* a1 (sqrt 2))))
4.0ms	a1	@	inf	((* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (/ (cos th) (sqrt 2)) (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ a1 (sqrt 2)) (sqrt 2) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (* (+ (* (/ a2 (* a1 a1)) a2) 1) (* (* a1 (cos th)) (/ a1 (sqrt 2)))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (* a1 a1)) a2) 1) (/ a2 (* a1 a1)) (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (* (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) 1/2) (* a2 (cos th)) (cos th) (/ a2 (sqrt 2)) (* (/ a2 (sqrt 2)) a2) (* a2 (sqrt 2)) (* a1 (sqrt 2)) (* (* a1 (cos th)) (* a1 (sqrt 2))))

simplify323.0ms (2.8%)

Memory

8.7MiB live, 282.2MiB allocated

Algorithm

1×	egg-herbie

Rules

20 810×	`lower-fma.f64`
20 810×	`lower-fma.f32`
6 784×	`lower-+.f64`
6 784×	`lower-+.f32`
6 154×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	261	7392
1	910	6810
2	3475	6396
0	8094	6010

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 527

Calls

Call 1

Inputs
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(* (pow a2 2) (cos th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (pow a2 2) (pow a1 2))
(/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))
(/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))
(/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* a1 (sqrt 2))
(* a1 (sqrt 2))
(* a1 (sqrt 2))
(* a1 (sqrt 2))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (cos th))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
1
(+ 1 (/ (pow a2 2) (pow a1 2)))
(+ 1 (/ (pow a2 2) (pow a1 2)))
(+ 1 (/ (pow a2 2) (pow a1 2)))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* a1 (sqrt 2))
(* a1 (sqrt 2))
(* a1 (sqrt 2))
(* a1 (sqrt 2))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (cos th))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
1
(+ 1 (/ (pow a2 2) (pow a1 2)))
(+ 1 (/ (pow a2 2) (pow a1 2)))
(+ 1 (/ (pow a2 2) (pow a1 2)))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* a1 (sqrt 2))
(* a1 (sqrt 2))
(* a1 (sqrt 2))
(* a1 (sqrt 2))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(/ 1 (sqrt 2))
(+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))
(+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))
(+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (pow a1 2) (pow a2 2))
(+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* 1/24 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))))) (+ (pow a1 2) (pow a2 2)))
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (+ (pow a1 2) (pow a2 2))))))) (+ (pow a1 2) (pow a2 2)))
(/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))
(+ (* -1/2 (/ (* (pow a1 2) (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a1 2) (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))))))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))
(+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))))
(+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (+ (* -1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))
(+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (+ (* -1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (+ (* 1/24 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))))))))))
(* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))
(+ (* 1/2 (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))
(+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))))))
(+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))
a2
(+ a2 (* -1/2 (* a2 (pow th 2))))
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))))
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2))))))
1
(+ 1 (* -1/2 (pow th 2)))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(* (pow a1 2) (sqrt 2))
(+ (* -1/2 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* (pow a1 2) (sqrt 2)))
(+ (* (pow a1 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a1 2) (* (pow th 2) (sqrt 2)))))))
(+ (* (pow a1 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* 1/24 (* (pow a1 2) (sqrt 2))))))))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(/ (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))
(/ (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))
(/ (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))
(/ (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(cos th)
(cos th)
(cos th)
(cos th)
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(/ (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))
(/ (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))
(/ (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))
(/ (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(cos th)
(cos th)
(cos th)
(cos th)
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(pow a1 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(/ (pow a1 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(* (pow a1 2) (cos th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
1
(+ 1 (/ (pow a2 2) (pow a1 2)))
(+ 1 (/ (pow a2 2) (pow a1 2)))
(+ 1 (/ (pow a2 2) (pow a1 2)))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(* a2 (sqrt 2))
(* a2 (sqrt 2))
(* a2 (sqrt 2))
(* a2 (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(pow a2 2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (cos th))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (pow a2 2) (pow a1 2))
(* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
(* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
(* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(* a2 (sqrt 2))
(* a2 (sqrt 2))
(* a2 (sqrt 2))
(* a2 (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(pow a2 2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (cos th))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (pow a2 2) (pow a1 2))
(* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
(* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
(* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(* a2 (sqrt 2))
(* a2 (sqrt 2))
(* a2 (sqrt 2))
(* a2 (sqrt 2))

Outputs
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(pow a2 2)
(*.f64 a2 a2)
(+ (pow a1 2) (pow a2 2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(+ (pow a1 2) (pow a2 2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(+ (pow a1 2) (pow a2 2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(/ (pow a2 2) (sqrt 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(* (pow a2 2) (cos th))
(.f64 (.f64 (cos.f64 th) a2) a2)
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(/ (pow a2 2) (pow a1 2))
(.f64 a2 (/.f64 a2 (.f64 a1 a1)))
(/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))
(/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 a1 a1))
(/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))
(/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 a1 a1))
(/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))
(/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)))
(* a1 (sqrt 2))
(*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(* a1 (sqrt 2))
(*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(* a1 (sqrt 2))
(*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(* a1 (sqrt 2))
(*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(.f64 (.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(.f64 (.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(.f64 (.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(.f64 (.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(pow a1 2)
(*.f64 a1 a1)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 (.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) a1) a1)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 (.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) a1) a1)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 (.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) a1) a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(/ (pow a1 2) (sqrt 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(.f64 (fma.f64 a2 (/.f64 a2 (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(.f64 (fma.f64 a2 (/.f64 a2 (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(.f64 (fma.f64 a2 (/.f64 a2 (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (cos th))
(.f64 (.f64 (cos.f64 th) a1) a1)
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (cos.f64 th)) (.f64 a1 a1))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (cos.f64 th)) (.f64 a1 a1))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (cos.f64 th)) (.f64 a1 a1))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (/ (pow a2 2) (pow a1 2)))
(fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))
(+ 1 (/ (pow a2 2) (pow a1 2)))
(fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))
(+ 1 (/ (pow a2 2) (pow a1 2)))
(fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(.f64 (.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 a2 a2)) (.f64 a1 a1))) (.f64 a1 a1))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 a2 a2)) (.f64 a1 a1))) (.f64 a1 a1))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 a2 a2)) (.f64 a1 a1))) (.f64 a1 a1))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 a1 a1)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 a2 a2)) (*.f64 a1 a1))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 a1 a1)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 a2 a2)) (*.f64 a1 a1))))
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a2
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1
#s(literal 1 binary64)
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(* (pow a1 2) (sqrt 2))
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(* a2 (cos th))
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(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 a2 a2)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 a2 a2)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 a2 a2)))
(* (pow a2 2) (cos th))
(.f64 (.f64 (cos.f64 th) a2) a2)
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(.f64 (.f64 (cos.f64 th) (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64))) (.f64 a2 a2))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(.f64 (.f64 (cos.f64 th) (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64))) (.f64 a2 a2))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(.f64 (.f64 (cos.f64 th) (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64))) (.f64 a2 a2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 a2 a2)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 a2 a2)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 a2 a2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 a2 a2)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 a2 a2)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 a2 a2)))
(/ (pow a2 2) (pow a1 2))
(.f64 a2 (/.f64 a2 (.f64 a1 a1)))
(* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
(fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))
(* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
(fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))
(* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
(fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)) (.f64 a2 a2))) (.f64 a2 a2))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)) (.f64 a2 a2))) (.f64 a2 a2))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)) (.f64 a2 a2))) (.f64 a2 a2))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)) (*.f64 a2 a2))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)) (*.f64 a2 a2))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)) (*.f64 a2 a2))))
(* a2 (cos th))
(*.f64 (cos.f64 th) a2)
(* a2 (cos th))
(*.f64 (cos.f64 th) a2)
(* a2 (cos th))
(*.f64 (cos.f64 th) a2)
(* a2 (cos th))
(*.f64 (cos.f64 th) a2)
(/ a2 (sqrt 2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(/ a2 (sqrt 2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(/ a2 (sqrt 2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(/ a2 (sqrt 2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a2 2) (sqrt 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/ (pow a2 2) (sqrt 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/ (pow a2 2) (sqrt 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/ (pow a2 2) (sqrt 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(* a2 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
(* a2 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
(* a2 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
(* a2 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 a2 a2)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 a2 a2)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 a2 a2)))
(pow a2 2)
(*.f64 a2 a2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(fma.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 a2 a2))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(fma.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 a2 a2))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(fma.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 a2 a2))
(/ (pow a2 2) (sqrt 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(fma.f64 #s(literal 1 binary64) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(fma.f64 #s(literal 1 binary64) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(fma.f64 #s(literal 1 binary64) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 a2 a2)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 a2 a2)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 a2 a2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 a2 a2)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 a2 a2)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 a2 a2)))
(* (pow a2 2) (cos th))
(.f64 (.f64 (cos.f64 th) a2) a2)
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(.f64 (.f64 (cos.f64 th) (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64))) (.f64 a2 a2))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(.f64 (.f64 (cos.f64 th) (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64))) (.f64 a2 a2))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(.f64 (.f64 (cos.f64 th) (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64))) (.f64 a2 a2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 a2 a2)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 a2 a2)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 a2 a2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 a2 a2)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 a2 a2)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 a2 a2)))
(/ (pow a2 2) (pow a1 2))
(.f64 a2 (/.f64 a2 (.f64 a1 a1)))
(* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
(fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))
(* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
(fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))
(* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
(fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)) (.f64 a2 a2))) (.f64 a2 a2))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)) (.f64 a2 a2))) (.f64 a2 a2))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)) (.f64 a2 a2))) (.f64 a2 a2))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)) (*.f64 a2 a2))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)) (*.f64 a2 a2))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)) (*.f64 a2 a2))))
(* a2 (cos th))
(*.f64 (cos.f64 th) a2)
(* a2 (cos th))
(*.f64 (cos.f64 th) a2)
(* a2 (cos th))
(*.f64 (cos.f64 th) a2)
(* a2 (cos th))
(*.f64 (cos.f64 th) a2)
(/ a2 (sqrt 2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(/ a2 (sqrt 2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(/ a2 (sqrt 2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(/ a2 (sqrt 2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a2 2) (sqrt 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/ (pow a2 2) (sqrt 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/ (pow a2 2) (sqrt 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/ (pow a2 2) (sqrt 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(* a2 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
(* a2 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
(* a2 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
(* a2 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)

rewrite346.0ms (3%)

Memory

11.4MiB live, 380.1MiB allocated

Rules

5 806×	`lower-fma.f32`
5 798×	`lower-fma.f64`
4 632×	`lower-/.f32`
4 622×	`lower-/.f64`
4 380×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	237
0	64	223
1	206	211
2	1535	208
0	8228	208

Stop Event

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

Counts

23 → 1 230

Calls

Call 1

Inputs
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 a2 a2 (*.f64 a1 a1))
(*.f64 a1 a1)
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64))
(/.f64 a2 (*.f64 a1 a1))
(fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(*.f64 a2 (cos.f64 th))
(cos.f64 th)
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 a1 (cos.f64 th)) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))

Outputs
(.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (+.f64 a2 a1)) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 a2 a1)))
(.f64 (/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 a2 a1)) (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (-.f64 a2 a1)))
(.f64 (/.f64 (neg.f64 (fma.f64 a2 a2 (.f64 a1 a1))) #s(literal -1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64)) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (cos.f64 th) #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal -1 binary64)) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) #s(literal 3 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)))))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 a2 a2) a2) (.f64 (.f64 a2 a2) a2) (.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a2 a2) a2) a2 (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 (cos.f64 th) a1) a1)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (*.f64 (cos.f64 th) a1) a1)))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(.f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (+.f64 (pow.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 (neg.f64 (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (cos.f64 th) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))) (fma.f64 (/.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 a2 a2) a2) (.f64 (.f64 a2 a2) a2) (.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (fma.f64 (.f64 (.f64 a2 a2) a2) a2 (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(/.f64 (neg.f64 (.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))))) (neg.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.f64 (neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 a2 a2) a2) (.f64 (.f64 a2 a2) a2) (.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1))))) (neg.f64 (fma.f64 (.f64 (.f64 a2 a2) a2) a2 (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(/.f64 (neg.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal 1 binary64))) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 (cos.f64 th) a1) a1)))) #s(literal 4 binary64))) (neg.f64 (/.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))) (neg.f64 (neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (pow.f64 (.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (neg.f64 (cos.f64 th)) (fma.f64 a2 a2 (.f64 a1 a1))))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 (neg.f64 (cos.f64 th)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))))) (neg.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(/.f64 (neg.f64 (.f64 (neg.f64 (cos.f64 th)) (fma.f64 (.f64 (.f64 a2 a2) a2) (.f64 (.f64 a2 a2) a2) (.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1))))) (neg.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 a2 a2) a2) a2 (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (*.f64 a2 a2)))))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))))) (neg.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a2 a2) a2) (.f64 (.f64 a2 a2) a2) (.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1))))) (neg.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 (.f64 (.f64 a2 a2) a2) a2 (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (*.f64 a2 a2)))))))
(/.f64 (neg.f64 (.f64 (cos.f64 th) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))))) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(/.f64 (neg.f64 (.f64 (cos.f64 th) (fma.f64 (.f64 (.f64 a2 a2) a2) (.f64 (.f64 a2 a2) a2) (.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1))))) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 a2 a2) a2) a2 (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (*.f64 a2 a2)))))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (neg.f64 (cos.f64 th)))) (neg.f64 (.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))) #s(literal 1 binary64))) (neg.f64 (.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (cos.f64 th))) (neg.f64 (.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64)))))
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(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)))))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 (cos.f64 th) a1) a1)))) #s(literal 1/2 binary64))) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (*.f64 (cos.f64 th) a1) a1)))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)))))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 (cos.f64 th) a1) a1)))))) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (*.f64 (cos.f64 th) a1) a1)))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)))))))
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 (cos.f64 th) a1) a1)))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (*.f64 (cos.f64 th) a1) a1))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 (cos.f64 th) a1) a1))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (*.f64 (cos.f64 th) a1) a1))))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))))))
(fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))))
(fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th)) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))))
(*.f64 (cos.f64 th) a2)
(*.f64 a2 (cos.f64 th))
(cos.f64 th)
(*.f64 (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) a2) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a2)
(*.f64 (neg.f64 a2) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a2 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 a2 #s(literal 1 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 a2))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (*.f64 a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(/.f64 (neg.f64 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 (neg.f64 a2) (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (/.f64 a2 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 a2 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 a2) #s(literal -1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 a2 #s(literal -1 binary64)) (/.f64 (neg.f64 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) a2)))
(.f64 (.f64 a2 a2) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a2)))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 a2) a2)) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 a2 (neg.f64 a2))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 a2 a2))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) a2)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(/.f64 (neg.f64 (*.f64 a2 #s(literal 1 binary64))) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(/.f64 (*.f64 (neg.f64 a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(/.f64 (*.f64 a2 (neg.f64 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 a2 #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(/.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))
(/.f64 (neg.f64 a2) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(exp.f64 (-.f64 (.f64 (log.f64 a2) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
(*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)
(*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (cos.f64 th)) a1)
(.f64 (.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (cos.f64 th) a1))
(.f64 (.f64 (cos.f64 th) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 (cos.f64 th) a1) a1))
(.f64 (cos.f64 th) (.f64 a1 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) a1)))
(.f64 a1 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (cos.f64 th)))

eval518.0ms (4.6%)

Memory: -11.3MiB live, 452.2MiB allocated
Compiler: Compiled 51 078 to 2 801 computations (94.5% saved)

prune551.0ms (4.8%)

Memory

19.3MiB live, 498.3MiB allocated

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	1 948	27	1 975
Fresh	10	1	11
Picked	4	1	5
Done	0	0	0
Total	1 962	29	1 991

Accuracy

100.0%

Counts

1 991 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
✓	99.7%	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
	59.7%	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
	68.1%	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
	98.8%	(/.f64 (.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
	68.0%	(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	98.5%	(.f64 (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(approx ( (* a1 (cos th)) (* a1 (sqrt 2))) (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) #s(literal 1/2 binary64))
	59.7%	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
	68.0%	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
	99.5%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))) #s(literal 1/2 binary64))
▶	59.7%	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
	68.0%	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
	99.5%	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal 1/2 binary64))
	98.7%	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))) #s(literal 1/2 binary64))
	98.8%	(.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
	68.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
	68.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
▶	68.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)))
	68.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) a2)))))
	67.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
	56.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
▶	68.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
	15.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))) #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64)))))
	34.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) a2)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
	59.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))))
	35.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1))))
	67.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
▶	14.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
	35.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (+ (* (/ a2 (* a1 a1)) a2) 1) (* (* a1 (cos th)) (/ a1 (sqrt 2)))) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))

Compiler

Compiled 1 071 to 638 computations (40.4% saved)

simplify335.0ms (2.9%)

Memory

-19.6MiB live, 230.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
cost-diff	960	(fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
cost-diff	1472	(/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
cost-diff	1600	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
cost-diff	0	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)))
cost-diff	768	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
cost-diff	1280	(fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2))
cost-diff	0	(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	0	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	0	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
cost-diff	0	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
cost-diff	0	(*.f64 a1 a1)
cost-diff	0	(fma.f64 a2 a2 (*.f64 a1 a1))
cost-diff	384	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))

Rules

14 232×	`lower-fma.f32`
14 222×	`lower-fma.f64`
3 236×	`lower-*.f32`
3 216×	`lower-*.f64`
3 132×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	405
0	86	384
1	153	356
2	262	348
3	529	342
4	1061	342
5	1885	326
6	2814	326
7	4887	324
8	7105	324
9	7232	324
10	7238	324
11	7238	324
0	8447	323

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(fma.f64 a2 a2 (*.f64 a1 a1))
a2
(*.f64 a1 a1)
a1
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 th)
th
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
a1
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 th th)
th
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a1 a1 (*.f64 a2 a2))
a1
(*.f64 a2 a2)
a2
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)))
(fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
a1
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
#s(literal 1 binary64)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
a2
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
(/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(*.f64 a1 a1)
a1
(/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
a2
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))

Outputs
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 a1 a1 (*.f64 a2 a2))
a2
(*.f64 a1 a1)
a1
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 th)
th
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
#s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
a1
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)))))
#s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)))
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))
(*.f64 th th)
th
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a1 a1 (*.f64 a2 a2))
a1
(*.f64 a2 a2)
a2
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
a1
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
#s(literal 1 binary64)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
a2
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(*.f64 (fma.f64 (/.f64 a1 a2) a1 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 a1 a1)
a1
(/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
a2
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(/.f64 #s(literal 2 binary64) a2)

localize198.0ms (1.7%)

Memory

10.8MiB live, 209.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.4609375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
accuracy	0.47494125976844204	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
accuracy	3.3794187989993016	(fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
accuracy	20.359306873493583	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
accuracy	0.25	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
accuracy	0.44140625	(/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
accuracy	0.51171875	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
accuracy	20.359306873493583	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)))
accuracy	0.00390625	(fma.f64 a1 a1 (*.f64 a2 a2))
accuracy	0.2662887695368841	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	3.6036672684179294	(.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
accuracy	26.343382033940184	#s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0.12890625	(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.51171875	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
accuracy	20.359306873493583	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
accuracy	53.71847432384669	#s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0	(cos.f64 th)
accuracy	0.166347509768442	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
accuracy	0.22265625	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))

Samples

102.0ms

256×

valid

Compiler

Compiled 319 to 49 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 36.0ms (57.9% of total)

ival-div: 11.0ms (17.7% of total)

ival-add: 8.0ms (12.9% of total)

ival-cos: 6.0ms (9.7% of total)

ival-sqrt: 2.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

series140.0ms (1.2%)

Memory

-19.3MiB live, 140.1MiB allocated

Counts

25 → 540

Calls

Call 1

Inputs
#s(alt (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (patch (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #<representation binary64>) () ())
#s(alt (fma.f64 a2 a2 (.f64 a1 a1)) (patch (fma.f64 a2 a2 (.f64 a1 a1)) #<representation binary64>) () ())
#s(alt (.f64 a1 a1) (patch (.f64 a1 a1) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (patch #s(approx (+ ( (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (patch (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) (patch #s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (patch (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)) (patch (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) (patch (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (patch (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) #<representation binary64>) () ())
#s(alt (cos.f64 th) (patch (cos.f64 th) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 2 binary64)) (patch (sqrt.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 a1 a1 (.f64 a2 a2)) (patch (fma.f64 a1 a1 (.f64 a2 a2)) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #<representation binary64>) () ())

Outputs
#s(alt (/ (* (pow a2 2) (cos th)) (sqrt 2)) (taylor 0 a1) (#s(alt (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (patch (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (taylor 0 a1) (#s(alt (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (patch (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (taylor 0 a1) (#s(alt (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (patch (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (taylor 0 a1) (#s(alt (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (patch (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #<representation binary64>) () ())) ())
#s(alt (pow a2 2) (taylor 0 a1) (#s(alt (fma.f64 a2 a2 (.f64 a1 a1)) (patch (fma.f64 a2 a2 (.f64 a1 a1)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a1 2) (pow a2 2)) (taylor 0 a1) (#s(alt (fma.f64 a2 a2 (.f64 a1 a1)) (patch (fma.f64 a2 a2 (.f64 a1 a1)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a1 2) (pow a2 2)) (taylor 0 a1) (#s(alt (fma.f64 a2 a2 (.f64 a1 a1)) (patch (fma.f64 a2 a2 (.f64 a1 a1)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a1 2) (pow a2 2)) (taylor 0 a1) (#s(alt (fma.f64 a2 a2 (.f64 a1 a1)) (patch (fma.f64 a2 a2 (.f64 a1 a1)) #<representation binary64>) () ())) ())
#s(alt (pow a1 2) (taylor 0 a1) (#s(alt (.f64 a1 a1) (patch (.f64 a1 a1) #<representation binary64>) () ())) ())
#s(alt (pow a1 2) (taylor 0 a1) (#s(alt (.f64 a1 a1) (patch (.f64 a1 a1) #<representation binary64>) () ())) ())
#s(alt (pow a1 2) (taylor 0 a1) (#s(alt (.f64 a1 a1) (patch (.f64 a1 a1) #<representation binary64>) () ())) ())
#s(alt (pow a1 2) (taylor 0 a1) (#s(alt (.f64 a1 a1) (patch (.f64 a1 a1) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a2 2) (cos th)) (sqrt 2)) (taylor 0 a1) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (taylor 0 a1) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (taylor 0 a1) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (taylor 0 a1) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (sqrt 2)) (taylor 0 a1) (#s(alt #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (patch #s(approx (+ ( (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (taylor 0 a1) (#s(alt #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (patch #s(approx (+ ( (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (taylor 0 a1) (#s(alt #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (patch #s(approx (+ ( (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (taylor 0 a1) (#s(alt #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (patch #s(approx (+ ( (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a1 2) (sqrt 2)) (taylor 0 a1) (#s(alt (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (patch (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a1 2) (sqrt 2)) (taylor 0 a1) (#s(alt (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (patch (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a1 2) (sqrt 2)) (taylor 0 a1) (#s(alt (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (patch (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a1 2) (sqrt 2)) (taylor 0 a1) (#s(alt (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (patch (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ a1 (sqrt 2)) (taylor 0 a1) (#s(alt (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ a1 (sqrt 2)) (taylor 0 a1) (#s(alt (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ a1 (sqrt 2)) (taylor 0 a1) (#s(alt (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ a1 (sqrt 2)) (taylor 0 a1) (#s(alt (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))) (taylor 0 a1) (#s(alt (.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ (pow (sqrt 2) 2) a2) (taylor -inf a2) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sqrt 2) 2) a2) (taylor -inf a2) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (sqrt 2)) (taylor -inf a2) (#s(alt (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) (patch (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))) (taylor -inf a2) (#s(alt (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) (patch (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))) (taylor -inf a2) (#s(alt (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) (patch (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))) (taylor -inf a2) (#s(alt (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) (patch (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) #<representation binary64>) () ())) ())
#s(alt (* a2 (sqrt 2)) (taylor -inf a2) (#s(alt (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (patch (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a2 (+ (* -1 (sqrt 2)) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))) (taylor -inf a2) (#s(alt (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (patch (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a2 (+ (* -1 (sqrt 2)) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))) (taylor -inf a2) (#s(alt (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (patch (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a2 (+ (* -1 (sqrt 2)) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))) (taylor -inf a2) (#s(alt (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (patch (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a2 2) (cos th)) (sqrt 2)) (taylor -inf a2) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))) (taylor -inf a2) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))) (taylor -inf a2) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))) (taylor -inf a2) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (sqrt 2)) (taylor -inf a2) (#s(alt (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (taylor -inf a2) (#s(alt (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (taylor -inf a2) (#s(alt (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (taylor -inf a2) (#s(alt (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow a2 2) (taylor -inf a2) (#s(alt (fma.f64 a1 a1 (.f64 a2 a2)) (patch (fma.f64 a1 a1 (.f64 a2 a2)) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (taylor -inf a2) (#s(alt (fma.f64 a1 a1 (.f64 a2 a2)) (patch (fma.f64 a1 a1 (.f64 a2 a2)) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (taylor -inf a2) (#s(alt (fma.f64 a1 a1 (.f64 a2 a2)) (patch (fma.f64 a1 a1 (.f64 a2 a2)) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (taylor -inf a2) (#s(alt (fma.f64 a1 a1 (.f64 a2 a2)) (patch (fma.f64 a1 a1 (.f64 a2 a2)) #<representation binary64>) () ())) ())
#s(alt (/ (sqrt 2) a2) (taylor -inf a2) (#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #<representation binary64>) () ())) ())
#s(alt (/ (sqrt 2) a2) (taylor -inf a2) (#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #<representation binary64>) () ())) ())
#s(alt (/ (sqrt 2) a2) (taylor -inf a2) (#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #<representation binary64>) () ())) ())
#s(alt (/ (sqrt 2) a2) (taylor -inf a2) (#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #<representation binary64>) () ())) ())
#s(alt (* a2 (sqrt 2)) (taylor -inf a2) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #<representation binary64>) () ())) ())
#s(alt (* a2 (sqrt 2)) (taylor -inf a2) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #<representation binary64>) () ())) ())
#s(alt (* a2 (sqrt 2)) (taylor -inf a2) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #<representation binary64>) () ())) ())
#s(alt (* a2 (sqrt 2)) (taylor -inf a2) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
32.0ms	a1	@	inf	((/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th))) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (/ (sqrt 2) (cos th)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (* a1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)) (* (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) 1/2) (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (* (+ (* (* th th) -1/2) 1) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (+ (* (* th th) -1/2) 1) (+ (* (/ a1 (sqrt 2)) a1) (* (/ 1 (/ (sqrt 2) a2)) a2)) (/ 1 (/ (sqrt 2) a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (sqrt 2) (/ (sqrt 2) a2)) (/ (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (* (sqrt 2) (/ (sqrt 2) a2))) (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (cos th) (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) a2) (* (sqrt 2) a2))
20.0ms	a2	@	0	((/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th))) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (/ (sqrt 2) (cos th)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (* a1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)) (* (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) 1/2) (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (* (+ (* (* th th) -1/2) 1) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (+ (* (* th th) -1/2) 1) (+ (* (/ a1 (sqrt 2)) a1) (* (/ 1 (/ (sqrt 2) a2)) a2)) (/ 1 (/ (sqrt 2) a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (sqrt 2) (/ (sqrt 2) a2)) (/ (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (* (sqrt 2) (/ (sqrt 2) a2))) (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (cos th) (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) a2) (* (sqrt 2) a2))
8.0ms	th	@	0	((/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th))) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (/ (sqrt 2) (cos th)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (* a1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)) (* (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) 1/2) (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (* (+ (* (* th th) -1/2) 1) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (+ (* (* th th) -1/2) 1) (+ (* (/ a1 (sqrt 2)) a1) (* (/ 1 (/ (sqrt 2) a2)) a2)) (/ 1 (/ (sqrt 2) a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (sqrt 2) (/ (sqrt 2) a2)) (/ (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (* (sqrt 2) (/ (sqrt 2) a2))) (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (cos th) (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) a2) (* (sqrt 2) a2))
5.0ms	a2	@	-inf	((/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th))) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (/ (sqrt 2) (cos th)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (* a1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)) (* (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) 1/2) (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (* (+ (* (* th th) -1/2) 1) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (+ (* (* th th) -1/2) 1) (+ (* (/ a1 (sqrt 2)) a1) (* (/ 1 (/ (sqrt 2) a2)) a2)) (/ 1 (/ (sqrt 2) a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (sqrt 2) (/ (sqrt 2) a2)) (/ (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (* (sqrt 2) (/ (sqrt 2) a2))) (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (cos th) (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) a2) (* (sqrt 2) a2))
4.0ms	a1	@	0	((/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th))) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (/ (sqrt 2) (cos th)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (* a1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)) (* (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) 1/2) (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (* (+ (* (* th th) -1/2) 1) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (+ (* (* th th) -1/2) 1) (+ (* (/ a1 (sqrt 2)) a1) (* (/ 1 (/ (sqrt 2) a2)) a2)) (/ 1 (/ (sqrt 2) a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (sqrt 2) (/ (sqrt 2) a2)) (/ (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (* (sqrt 2) (/ (sqrt 2) a2))) (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (cos th) (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) a2) (* (sqrt 2) a2))

simplify334.0ms (2.9%)

Memory

21.0MiB live, 300.6MiB allocated

Algorithm

1×	egg-herbie

Rules

18 560×	`lower-fma.f64`
18 560×	`lower-fma.f32`
6 272×	`lower-*.f64`
6 272×	`lower-*.f32`
5 778×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	237	7977
1	832	7381
2	3269	7045
0	8230	6594

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 540

Calls

Call 1

Inputs
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))))
(+ (* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))))
(+ (* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))))
(+ (* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))))
(/ (pow a2 2) (sqrt 2))
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(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(* a2 (sqrt 2))
(+ (* a2 (sqrt 2)) (/ (* (pow a1 2) (sqrt 2)) a2))
(+ (* a2 (sqrt 2)) (/ (* (pow a1 2) (sqrt 2)) a2))
(+ (* a2 (sqrt 2)) (/ (* (pow a1 2) (sqrt 2)) a2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(* (pow a2 2) (sqrt 2))
(+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))
(+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))
(+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))))
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(* (pow a1 2) (+ (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))) (/ (* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (pow a1 2))))
(* (pow a1 2) (+ (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))) (/ (* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (pow a1 2))))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ (* (pow a1 2) (sqrt 2)) a2)
(* (pow a1 2) (+ (/ (sqrt 2) a2) (/ (* a2 (sqrt 2)) (pow a1 2))))
(* (pow a1 2) (+ (/ (sqrt 2) a2) (/ (* a2 (sqrt 2)) (pow a1 2))))
(* (pow a1 2) (+ (/ (sqrt 2) a2) (/ (* a2 (sqrt 2)) (pow a1 2))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))
(* (pow a1 2) (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))
(* (pow a1 2) (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))))
(* (pow a1 2) (+ (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))) (/ (* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (pow a1 2))))
(* (pow a1 2) (+ (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))) (/ (* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (pow a1 2))))
(* (pow a1 2) (+ (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))) (/ (* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (pow a1 2))))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ (* (pow a1 2) (sqrt 2)) a2)
(* (pow a1 2) (+ (/ (sqrt 2) a2) (/ (* a2 (sqrt 2)) (pow a1 2))))
(* (pow a1 2) (+ (/ (sqrt 2) a2) (/ (* a2 (sqrt 2)) (pow a1 2))))
(* (pow a1 2) (+ (/ (sqrt 2) a2) (/ (* a2 (sqrt 2)) (pow a1 2))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))
(* (pow a1 2) (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))
(* (pow a1 2) (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(sqrt 2)
(+ (sqrt 2) (* 1/2 (* (pow th 2) (sqrt 2))))
(+ (sqrt 2) (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
(+ (sqrt 2) (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (sqrt 2)) (+ (* 1/48 (sqrt 2)) (* 1/2 (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2)))))))) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))
(+ (* 1/2 (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))
(+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))))))
(+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))
(+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))
(+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))))
(+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (+ (* -1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))
(+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (+ (* -1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (+ (* 1/24 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))))))))))
(* (sqrt 2) (+ (pow a1 2) (pow a2 2)))
(+ (* -1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(+ (* -1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(+ (* -1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
1
(+ 1 (* -1/2 (pow th 2)))
(+ 1 (* -1/2 (pow th 2)))
(+ 1 (* -1/2 (pow th 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
1
(+ 1 (* -1/2 (pow th 2)))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(* -1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (/ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (pow th 2))))
(* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (/ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (pow th 2))))
(* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (/ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (pow th 2))))
(* -1/2 (pow th 2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(cos th)
(cos th)
(cos th)
(cos th)
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(* -1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (/ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (pow th 2))))
(* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (/ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (pow th 2))))
(* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (/ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (pow th 2))))
(* -1/2 (pow th 2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(cos th)
(cos th)
(cos th)
(cos th)
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(pow a1 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (pow a1 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))))
(+ (* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))))
(+ (* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))))
(+ (* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))))
(/ (pow a1 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (pow (sqrt 2) 2) a2)
(/ (pow (sqrt 2) 2) a2)
(/ (pow (sqrt 2) 2) a2)
(/ (pow (sqrt 2) 2) a2)
(/ (pow a1 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (* (pow a1 2) (sqrt 2)) a2)
(/ (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))) a2)
(/ (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))) a2)
(/ (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))) a2)
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(* (pow a1 2) (sqrt 2))
(+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))
(+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))
(+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))
(pow a1 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(/ (sqrt 2) a2)
(/ (sqrt 2) a2)
(/ (sqrt 2) a2)
(/ (sqrt 2) a2)
(* a2 (sqrt 2))
(* a2 (sqrt 2))
(* a2 (sqrt 2))
(* a2 (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(pow a2 2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))))
(* (pow a2 2) (+ (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))) (/ (* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (pow a2 2))))
(* (pow a2 2) (+ (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))) (/ (* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (pow a2 2))))
(* (pow a2 2) (+ (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))) (/ (* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (pow a2 2))))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (pow (sqrt 2) 2) a2)
(/ (pow (sqrt 2) 2) a2)
(/ (pow (sqrt 2) 2) a2)
(/ (pow (sqrt 2) 2) a2)
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* a2 (sqrt 2))
(* a2 (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))
(* a2 (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))
(* a2 (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))
(* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))
(* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))
(pow a2 2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(/ (sqrt 2) a2)
(/ (sqrt 2) a2)
(/ (sqrt 2) a2)
(/ (sqrt 2) a2)
(* a2 (sqrt 2))
(* a2 (sqrt 2))
(* a2 (sqrt 2))
(* a2 (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(pow a2 2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))))
(* (pow a2 2) (+ (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))) (/ (* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (pow a2 2))))
(* (pow a2 2) (+ (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))) (/ (* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (pow a2 2))))
(* (pow a2 2) (+ (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))) (/ (* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (pow a2 2))))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (pow (sqrt 2) 2) a2)
(/ (pow (sqrt 2) 2) a2)
(/ (pow (sqrt 2) 2) a2)
(/ (pow (sqrt 2) 2) a2)
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* a2 (sqrt 2))
(* -1 (* a2 (+ (* -1 (sqrt 2)) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))))
(* -1 (* a2 (+ (* -1 (sqrt 2)) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))))
(* -1 (* a2 (+ (* -1 (sqrt 2)) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))
(* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))
(* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))
(pow a2 2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(/ (sqrt 2) a2)
(/ (sqrt 2) a2)
(/ (sqrt 2) a2)
(/ (sqrt 2) a2)
(* a2 (sqrt 2))
(* a2 (sqrt 2))
(* a2 (sqrt 2))
(* a2 (sqrt 2))

Outputs
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(pow a2 2)
(*.f64 a2 a2)
(+ (pow a1 2) (pow a2 2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(+ (pow a1 2) (pow a2 2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(+ (pow a1 2) (pow a2 2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(/ (pow a2 2) (sqrt 2))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
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(/ a2 (sqrt 2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(/ (pow (sqrt 2) 2) a2)
(/.f64 #s(literal 2 binary64) a2)
(/ (pow (sqrt 2) 2) a2)
(/.f64 #s(literal 2 binary64) a2)
(/ (pow (sqrt 2) 2) a2)
(/.f64 #s(literal 2 binary64) a2)
(/ (pow (sqrt 2) 2) a2)
(/.f64 #s(literal 2 binary64) a2)
(/ (pow a2 2) (sqrt 2))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 (fma.f64 a1 (/.f64 a1 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 (fma.f64 a1 (/.f64 a1 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 (fma.f64 a1 (/.f64 a1 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a2))
(* a2 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
(* -1 (* a2 (+ (* -1 (sqrt 2)) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64))) a2)
(* -1 (* a2 (+ (* -1 (sqrt 2)) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64))) a2)
(* -1 (* a2 (+ (* -1 (sqrt 2)) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64))) a2)
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (sqrt 2))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)
(* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64))) (.f64 a2 a2))
(* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64))) (.f64 a2 a2))
(* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64))) (.f64 a2 a2))
(pow a2 2)
(*.f64 a2 a2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (*.f64 a2 a2))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (*.f64 a2 a2))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (*.f64 a2 a2))
(/ (sqrt 2) a2)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
(/ (sqrt 2) a2)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
(/ (sqrt 2) a2)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
(/ (sqrt 2) a2)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
(* a2 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
(* a2 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
(* a2 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
(* a2 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)

rewrite397.0ms (3.5%)

Memory

12.9MiB live, 326.9MiB allocated

Rules

5 520×	`lower-/.f32`
5 508×	`lower-/.f64`
5 148×	`lower-*.f32`
5 128×	`lower-*.f64`
4 168×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	352
0	86	307
1	295	291
2	2149	291
0	8813	289

Stop Event

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

Counts

25 → 1 382

Calls

Call 1

Inputs
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(fma.f64 a2 a2 (*.f64 a1 a1))
(*.f64 a1 a1)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
(cos.f64 th)
(sqrt.f64 #s(literal 2 binary64))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a1 a1 (*.f64 a2 a2))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)

Outputs
(.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 a2 a1)) (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (-.f64 a2 a1)))
(.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 a1 a2)) (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (-.f64 a1 a2)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal -1 binary64)) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 a2 a2) a2) a2 (.f64 (.f64 a1 a1) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (fma.f64 (.f64 (.f64 a2 a2) a2) a2 (.f64 (.f64 a1 a1) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 a2 a2) a2) a2 (.f64 (.f64 a1 a1) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (fma.f64 (.f64 (.f64 a1 a1) a1) a1 (.f64 (.f64 a2 a2) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) a1 (.f64 (.f64 a2 a2) (.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (fma.f64 (.f64 (.f64 a2 a2) a2) a2 (.f64 (.f64 a1 a1) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) a1 (.f64 (.f64 a2 a2) (.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (fma.f64 (.f64 (.f64 a1 a1) a1) a1 (.f64 (.f64 a2 a2) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))))))
(.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th)))))
(.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th)))))
(.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1) (.f64 (.f64 (.f64 a2 a2) a2) (.f64 (.f64 a2 a2) a2))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a2 a2) a2) a2 (.f64 (.f64 a1 a1) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1) (.f64 (.f64 (.f64 a2 a2) a2) (.f64 (.f64 a2 a2) a2))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a1 a1) a1) a1 (.f64 (.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1) (.f64 (.f64 (.f64 a2 a2) a2) (.f64 (.f64 a2 a2) a2))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a2 a2) a2) a2 (.f64 (.f64 a1 a1) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1) (.f64 (.f64 (.f64 a2 a2) a2) (.f64 (.f64 a2 a2) a2))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a1 a1) a1) a1 (.f64 (.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1) (.f64 (.f64 (.f64 a2 a2) a2) (.f64 (.f64 a2 a2) a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a2 a2) a2) a2 (.f64 (.f64 a1 a1) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1) (.f64 (.f64 (.f64 a2 a2) a2) (.f64 (.f64 a2 a2) a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a1 a1) a1) a1 (.f64 (.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1) (.f64 (.f64 (.f64 a2 a2) a2) (.f64 (.f64 a2 a2) a2))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a2 a2) a2) a2 (.f64 (.f64 a1 a1) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1) (.f64 (.f64 (.f64 a2 a2) a2) (.f64 (.f64 a2 a2) a2))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a1 a1) a1) a1 (.f64 (.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1) (.f64 (.f64 (.f64 a2 a2) a2) (.f64 (.f64 a2 a2) a2))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a2 a2) a2) a2 (.f64 (.f64 a1 a1) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1) (.f64 (.f64 (.f64 a2 a2) a2) (.f64 (.f64 a2 a2) a2))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a1 a1) a1) a1 (.f64 (.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
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(fma.f64 (/.f64 (.f64 a2 a2) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
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(fma.f64 (/.f64 (.f64 a2 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
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(fma.f64 (/.f64 (.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(fma.f64 (/.f64 (.f64 a1 a1) #s(literal -1 binary64)) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (.f64 a1 a1) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th)))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (.f64 a1 a1) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th)))) (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
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(fma.f64 (/.f64 a1 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th)))) (/.f64 a1 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
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(fma.f64 (/.f64 a1 (/.f64 #s(literal 1 binary64) (cos.f64 th))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(fma.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (.f64 a1 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 a2 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th)))) (/.f64 a2 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)))
(fma.f64 (/.f64 a2 (/.f64 #s(literal 1 binary64) (cos.f64 th))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th)))) (/.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th)))) (/.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(fma.f64 (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (.f64 (cos.f64 th) a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
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(fma.f64 (/.f64 a2 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 a2 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)))
(fma.f64 (/.f64 a1 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 a1 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th)))) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 a2 a2) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 a1 a1) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th)))) (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 a2 #s(literal 1 binary64)) (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(fma.f64 (/.f64 (cos.f64 th) #s(literal 1 binary64)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (cos.f64 th) #s(literal 1 binary64)) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
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(fma.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(fma.f64 (.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1 (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(fma.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a1 (/.f64 #s(literal 1 binary64) (cos.f64 th))) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) (cos.f64 th))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1) (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (cos.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(fma.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 a1 (.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (/.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 a2 a2) a2) a2) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (/.f64 (.f64 (.f64 (.f64 a1 a1) a1) a1) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 a1 a1) a1) a1) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (/.f64 (.f64 (.f64 (.f64 a2 a2) a2) a2) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))))
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(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 (cos.f64 th) a1) a1)))) #s(literal 2 binary64)) (/.f64 (/.f64 (.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 (cos.f64 th) a1) a1)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 a2 a2) a2) a2) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (/.f64 (.f64 (.f64 (.f64 a1 a1) a1) a1) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 a1 a1) a1) a1) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (/.f64 (.f64 (.f64 (.f64 a2 a2) a2) a2) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (/.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (+.f64 a2 a1)) (/.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (-.f64 a2 a1)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (+.f64 a1 a2)) (/.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (-.f64 a1 a2)))
(.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1) (.f64 (.f64 (.f64 a2 a2) a2) (.f64 (.f64 a2 a2) a2))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a2 a2) a2) a2 (.f64 (.f64 a1 a1) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))))
(.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1) (.f64 (.f64 (.f64 a2 a2) a2) (.f64 (.f64 a2 a2) a2))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a1 a1) a1) a1 (.f64 (.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))))
(pow.f64 (/.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 a2 a2) a2) a2 (.f64 (.f64 a1 a1) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (fma.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1) (.f64 (.f64 (.f64 a2 a2) a2) (.f64 (.f64 a2 a2) a2)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) a1 (.f64 (.f64 a2 a2) (.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (fma.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1) (.f64 (.f64 (.f64 a2 a2) a2) (.f64 (.f64 a2 a2) a2)))) #s(literal -1 binary64))
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(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
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(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.f64 (.f64 a1 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 a2 a2) a2) a2) #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 (.f64 (.f64 (.f64 a1 a1) a1) a1) #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) (.f64 a2 a2)) (.f64 (/.f64 #s(literal 2 binary64) a2) (-.f64 (.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) (/.f64 (.f64 (.f64 a2 a2) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 2 binary64) a2) (-.f64 (.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) a2)) (/.f64 (fma.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 #s(literal -2 binary64) a2)))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) (.f64 a2 a2)) (-.f64 (.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) (/.f64 #s(literal 2 binary64) a2)) (/.f64 (/.f64 (.f64 (.f64 a2 a2) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) (/.f64 #s(literal 2 binary64) a2)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 a1 a1) a1) a1) #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 (.f64 (.f64 (.f64 a2 a2) a2) a2) #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(+.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(.f64 (-.f64 (/.f64 (.f64 (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) (.f64 a2 a2)) (.f64 (.f64 a2 a2) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
(.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 a2 a2) a2)) (.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 a2 a2) a2))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (.f64 (.f64 a2 a2) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) (/.f64 (.f64 (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) (*.f64 a2 a2)))))
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(pow.f64 (/.f64 (+.f64 (-.f64 (.f64 (.f64 a2 a2) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) (/.f64 (.f64 (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) (.f64 a2 a2))) (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 a2 a2) a2)) (.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 a2 a2) a2)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 a2 a2) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) (.f64 a2 a2)))) (neg.f64 (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (/.f64 (*.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64))))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 a2 a2) a2)) (.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 a2 a2) a2))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (.f64 (.f64 a2 a2) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) (/.f64 (.f64 (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) (.f64 a2 a2))))))
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(/.f64 (-.f64 (.f64 (.f64 a2 a2) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) (.f64 a2 a2))) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (/.f64 (*.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) (.f64 a2 a2)) (.f64 (.f64 a2 a2) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 a2 a2) a2)) (.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 a2 a2) a2)))) (neg.f64 (fma.f64 (.f64 a2 a2) #s(literal 2 binary64) (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) a2))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 a2 a2) a2)) (.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 a2 a2) a2)))) (neg.f64 (+.f64 (-.f64 (.f64 (.f64 a2 a2) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) (/.f64 (.f64 (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) (.f64 a2 a2)))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) (.f64 a2 a2)) (.f64 (.f64 a2 a2) #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(/.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 a2 a2) a2)) (.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 a2 a2) a2))) (fma.f64 (.f64 a2 a2) #s(literal 2 binary64) (/.f64 (-.f64 (.f64 (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) a2)))
(/.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 a2 a2) a2)) (.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 a2 a2) a2))) (+.f64 (-.f64 (.f64 (.f64 a2 a2) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) (/.f64 (.f64 (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) (.f64 a2 a2))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 (.f64 (.f64 a2 a2) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) (/.f64 (.f64 (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) (.f64 a2 a2))) (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 a2 a2) a2)) (.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 a2 a2) a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (-.f64 (/.f64 (.f64 (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) (.f64 a2 a2)) (.f64 (*.f64 a2 a2) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (.f64 (.f64 a2 a2) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) (/.f64 (.f64 (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) (.f64 a2 a2))) (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 a2 a2) a2)) (.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 a2 a2) a2)))))
(fma.f64 (/.f64 (.f64 a1 a1) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal -1/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(fma.f64 (/.f64 (.f64 a1 a1) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(fma.f64 (/.f64 (.f64 a1 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(fma.f64 (/.f64 (.f64 a1 a1) (neg.f64 a2)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(fma.f64 (/.f64 (.f64 a1 a1) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(fma.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(fma.f64 (/.f64 a1 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal -1/2 binary64))) (/.f64 a1 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(fma.f64 (/.f64 a1 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 a1 (neg.f64 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(fma.f64 (/.f64 a1 (neg.f64 a2)) (/.f64 a1 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(fma.f64 (/.f64 a1 #s(literal -1 binary64)) (/.f64 a1 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(fma.f64 (/.f64 a1 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 a1 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(fma.f64 (/.f64 a1 a2) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(fma.f64 (/.f64 a1 a2) (/.f64 a1 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(fma.f64 (/.f64 (.f64 a1 a1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(fma.f64 (/.f64 (.f64 a1 a1) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(fma.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(fma.f64 (/.f64 a1 #s(literal 1 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal -1/2 binary64))) (/.f64 (.f64 a1 a1) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal -1/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (.f64 a1 a1) (neg.f64 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 a2)) (/.f64 (.f64 a1 a1) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 a1 a1) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(fma.f64 (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 #s(literal 1 binary64) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a1) (/.f64 a1 #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a1) a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(fma.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (.f64 a1 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(fma.f64 #s(literal -1 binary64) (/.f64 (.f64 a1 a1) (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(fma.f64 (.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 a1 a1) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
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(fma.f64 a1 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
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(cos.f64 th)
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(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
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(fma.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2) (.f64 a1 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1) (.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
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(fma.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
(fma.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
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(+.f64 (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)))
(+.f64 (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
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(.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1) (.f64 (.f64 (.f64 a2 a2) a2) (.f64 (.f64 a2 a2) a2))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a1 a1) a1) a1 (.f64 (.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))))
(pow.f64 (/.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) #s(literal -1 binary64))
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(fma.f64 a2 a2 (*.f64 a1 a1))
(-.f64 (/.f64 (.f64 (.f64 (.f64 a2 a2) a2) a2) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 (.f64 (.f64 (.f64 a1 a1) a1) a1) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 a1 a1) a1) a1) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (/.f64 (.f64 (.f64 (.f64 a2 a2) a2) a2) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) a2))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) a2) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 a2)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 a2)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 a2)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 a2)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a2))
(*.f64 (/.f64 #s(literal 1 binary64) a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 a2)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) a2))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) a2) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) a2) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a2) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) a2))
(pow.f64 (/.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal 1 binary64))
(pow.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (neg.f64 (neg.f64 a2))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 a2))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) a2)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a2)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a2))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (neg.f64 a2)))
(/.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal -1 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 a2)))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 a2))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) a2))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (neg.f64 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 a2))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a2)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) a2))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
(*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))

eval536.0ms (4.7%)

Memory: -0.8MiB live, 665.3MiB allocated
Compiler: Compiled 54 457 to 3 570 computations (93.4% saved)

prune350.0ms (3.1%)

Memory

5.7MiB live, 855.5MiB allocated

Pruning

43 alts after pruning (41 fresh and 2 done)

	Pruned	Kept	Total
New	2 159	26	2 185
Fresh	8	15	23
Picked	4	1	5
Done	0	1	1
Total	2 171	43	2 214

Accuracy

100.0%

Counts

2 214 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.1%	(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (.f64 (fma.f64 (*.f64 th th) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
	68.1%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))))
✓	99.7%	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
	59.7%	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
	98.7%	(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
	59.7%	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
	68.0%	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
	51.3%	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 th th)))))) #s(literal 1/2 binary64))
▶	59.0%	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
	14.7%	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
	59.0%	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(approx (* (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))) #s(literal 1/2 binary64))
	59.7%	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))))) #s(literal 1/2 binary64))
	68.0%	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
	51.3%	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
	98.7%	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) #s(literal 1/2 binary64))
▶	99.5%	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal 1/2 binary64))
	98.7%	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))) #s(literal 1/2 binary64))
	15.6%	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) #s(approx (* (+ (* (* th th) -1/2) 1) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) th) th)))) #s(literal 1/2 binary64))
	98.8%	(.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
	98.7%	#s(approx (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	68.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
▶	68.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
	68.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) a2)))
	68.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) a2) (sqrt.f64 #s(literal 2 binary64)))) a2)))
	68.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) a2)))))
▶	62.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
	68.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) a2) (.f64 a1 a1))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
	67.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
	56.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))))
	56.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
	67.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 a2))))
	67.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
	59.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))))
	68.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 a2)))))
	68.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 (fma.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
	67.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (* (sqrt 2) (/ (sqrt 2) a2))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
▶	14.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
	14.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
	35.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1))))
✓	14.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
	14.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))
	14.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 a1 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1))))
	35.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (+ (* (/ a2 (* a1 a1)) a2) 1) (* (* a1 (cos th)) (/ a1 (sqrt 2)))) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))

Compiler

Compiled 1 704 to 1 021 computations (40.1% saved)

simplify168.0ms (1.5%)

Memory

3.4MiB live, 157.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) a2) a1)
cost-diff	704	(*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
cost-diff	1280	(/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
cost-diff	2112	(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (/.f64 #s(literal 1 binary64) a2) a1))
cost-diff	0	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
cost-diff	64	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
cost-diff	768	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
cost-diff	1216	(fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))
cost-diff	0	(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	0	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
cost-diff	0	(*.f64 a1 a1)
cost-diff	0	#s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	64	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
cost-diff	0	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
cost-diff	0	#s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))))
cost-diff	0	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal 1/2 binary64))

Rules

6 496×	`lower-*.f32`
6 474×	`lower-*.f64`
6 000×	`lower-fma.f32`
5 992×	`lower-fma.f64`
3 074×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	504
0	94	483
1	170	441
2	307	433
3	562	418
4	1088	406
5	1777	406
6	3167	402
7	3964	402
8	5416	402
9	5507	402
10	5545	402
11	5545	402
12	5802	402
13	7308	402
14	7308	402
15	7308	402
0	9448	400

Stop Event

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

Calls

Call 1

Inputs
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal 1/2 binary64))
#s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 th)
th
(fma.f64 a1 a1 (*.f64 a2 a2))
a1
(*.f64 a2 a2)
a2
#s(literal 1/2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 a1 a1)
a1
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 th th)
th
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2))
(*.f64 a2 a2)
a2
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
(fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
a1
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
#s(literal 1 binary64)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))
(*.f64 a2 a2)
a2
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (/.f64 #s(literal 1 binary64) a2) a1))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
a2
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)
a1
(*.f64 (/.f64 #s(literal 1 binary64) a2) a1)
(/.f64 #s(literal 1 binary64) a2)
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))

Outputs
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))))
#s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 th)
th
(fma.f64 a1 a1 (*.f64 a2 a2))
a1
(*.f64 a2 a2)
a2
#s(literal 1/2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) a1) a1)))
#s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) a1) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) a1) a1)
(*.f64 a1 a1)
a1
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)))))
#s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)))
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))
(*.f64 th th)
th
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2))
(*.f64 a2 a2)
a2
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) a1)
a1
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
(.f64 (.f64 (*.f64 a2 #s(literal 1/2 binary64)) a2) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1 binary64)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))
(*.f64 a2 a2)
a2
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (/.f64 #s(literal 1 binary64) a2) a1))
(+.f64 (/.f64 a2 a1) (/.f64 a1 a2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 a2 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
a2
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)
a1
(*.f64 (/.f64 #s(literal 1 binary64) a2) a1)
(/.f64 a1 a2)
(/.f64 #s(literal 1 binary64) a2)
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a2))

localize134.0ms (1.2%)

Memory

-7.7MiB live, 273.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.4140625	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.51953125	(/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)
accuracy	8.095713272295276	(/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
accuracy	20.359306873493583	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
accuracy	0.140625	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
accuracy	0.51171875	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.6097942003898221	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))
accuracy	20.359306873493583	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
accuracy	0.2662887695368841	(.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.5705554994351678	#s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2))
accuracy	3.6036672684179294	(.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
accuracy	26.343382033940184	#s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.1875	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
accuracy	20.359306873493583	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
accuracy	53.71847432384669	#s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0	#s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))))
accuracy	0.00390625	(fma.f64 a1 a1 (*.f64 a2 a2))
accuracy	0.21550751953688402	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
accuracy	0.244472509768442	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))

Samples

102.0ms

256×

valid

Compiler

Compiled 369 to 49 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-mult: 35.0ms (45.7% of total)

ival-cos: 17.0ms (22.2% of total)

ival-div: 15.0ms (19.6% of total)

ival-add: 7.0ms (9.1% of total)

ival-sqrt: 2.0ms (2.6% of total)

exact: 1.0ms (1.3% of total)

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

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

series75.0ms (0.7%)

Memory

4.9MiB live, 165.5MiB allocated

Counts

28 → 648

Calls

Call 1

Inputs
#s(alt (.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2)))) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2)))) (patch #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2))) (patch (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (+ ( (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 a1 a1) (patch (.f64 a1 a1) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) (patch #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (patch (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)))) (patch (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))) #<representation binary64>) () ())
#s(alt (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (patch (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) (patch (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (patch (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) a2) a1) (patch (.f64 (/.f64 #s(literal 1 binary64) a2) a1) #<representation binary64>) () ())
#s(alt (fma.f64 a1 a1 (.f64 a2 a2)) (patch (fma.f64 a1 a1 (.f64 a2 a2)) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 2 binary64)) (patch (sqrt.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (patch #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) (patch #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #<representation binary64>) () ())
#s(alt (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))) (taylor 0 a1) (#s(alt (.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2)))) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))) (taylor 0 a1) (#s(alt (.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2)))) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))) (taylor 0 a1) (#s(alt (.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2)))) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))) (taylor 0 a1) (#s(alt (.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2)))) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (* (cos th) (sqrt 2))) (taylor 0 a1) (#s(alt #s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2)))) (patch #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))) (taylor 0 a1) (#s(alt #s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2)))) (patch #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))) (taylor 0 a1) (#s(alt #s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2)))) (patch #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))) (taylor 0 a1) (#s(alt #s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2)))) (patch #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (* (cos th) (sqrt 2))) (taylor 0 a1) (#s(alt (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2))) (patch (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))) (taylor 0 a1) (#s(alt (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2))) (patch (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))) (taylor 0 a1) (#s(alt (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2))) (patch (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))) (taylor 0 a1) (#s(alt (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2))) (patch (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a1 2) (sqrt 2)) (taylor 0 a1) (#s(alt (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a1 2) (sqrt 2)) (taylor 0 a1) (#s(alt (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a1 2) (sqrt 2)) (taylor 0 a1) (#s(alt (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a1 2) (sqrt 2)) (taylor 0 a1) (#s(alt (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a2 2) (cos th)) (sqrt 2)) (taylor 0 a1) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (taylor 0 a1) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (taylor 0 a1) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (taylor 0 a1) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (sqrt 2)) (taylor 0 a1) (#s(alt #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (+ ( (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (taylor 0 a1) (#s(alt #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (+ ( (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (taylor 0 a1) (#s(alt #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (+ ( (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (taylor 0 a1) (#s(alt #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (+ ( (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow a1 2) (taylor 0 a1) (#s(alt (.f64 a1 a1) (patch (.f64 a1 a1) #<representation binary64>) () ())) ())
#s(alt (pow a1 2) (taylor 0 a1) (#s(alt (.f64 a1 a1) (patch (.f64 a1 a1) #<representation binary64>) () ())) ())
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#s(alt (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) (taylor 0 th) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* a2 (- (* -1 (/ a1 (pow a2 2))) (/ 1 a1)))) (taylor -inf a2) (#s(alt (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (patch (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a2 (- (* -1 (/ a1 (pow a2 2))) (/ 1 a1)))) (taylor -inf a2) (#s(alt (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (patch (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (sqrt 2)) (taylor -inf a2) (#s(alt (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) (patch (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))) (taylor -inf a2) (#s(alt (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) (patch (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))) (taylor -inf a2) (#s(alt (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) (patch (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))) (taylor -inf a2) (#s(alt (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) (patch (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) #<representation binary64>) () ())) ())
#s(alt (/ (sqrt 2) (* a1 a2)) (taylor -inf a2) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (patch (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) #<representation binary64>) () ())) ())
#s(alt (/ (sqrt 2) (* a1 a2)) (taylor -inf a2) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (patch (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) #<representation binary64>) () ())) ())
#s(alt (/ (sqrt 2) (* a1 a2)) (taylor -inf a2) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (patch (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) #<representation binary64>) () ())) ())
#s(alt (/ (sqrt 2) (* a1 a2)) (taylor -inf a2) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (patch (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) #<representation binary64>) () ())) ())
#s(alt (/ a1 a2) (taylor -inf a2) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) a2) a1) (patch (.f64 (/.f64 #s(literal 1 binary64) a2) a1) #<representation binary64>) () ())) ())
#s(alt (/ a1 a2) (taylor -inf a2) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) a2) a1) (patch (.f64 (/.f64 #s(literal 1 binary64) a2) a1) #<representation binary64>) () ())) ())
#s(alt (/ a1 a2) (taylor -inf a2) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) a2) a1) (patch (.f64 (/.f64 #s(literal 1 binary64) a2) a1) #<representation binary64>) () ())) ())
#s(alt (/ a1 a2) (taylor -inf a2) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) a2) a1) (patch (.f64 (/.f64 #s(literal 1 binary64) a2) a1) #<representation binary64>) () ())) ())
#s(alt (pow a2 2) (taylor -inf a2) (#s(alt (fma.f64 a1 a1 (.f64 a2 a2)) (patch (fma.f64 a1 a1 (.f64 a2 a2)) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (taylor -inf a2) (#s(alt (fma.f64 a1 a1 (.f64 a2 a2)) (patch (fma.f64 a1 a1 (.f64 a2 a2)) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (taylor -inf a2) (#s(alt (fma.f64 a1 a1 (.f64 a2 a2)) (patch (fma.f64 a1 a1 (.f64 a2 a2)) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (taylor -inf a2) (#s(alt (fma.f64 a1 a1 (.f64 a2 a2)) (patch (fma.f64 a1 a1 (.f64 a2 a2)) #<representation binary64>) () ())) ())
#s(alt (pow a2 2) (taylor -inf a2) (#s(alt #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (patch #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (taylor -inf a2) (#s(alt #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (patch #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (taylor -inf a2) (#s(alt #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (patch #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (taylor -inf a2) (#s(alt #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (patch #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (sqrt 2)) (taylor -inf a2) (#s(alt (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (taylor -inf a2) (#s(alt (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (taylor -inf a2) (#s(alt (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (taylor -inf a2) (#s(alt (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (sqrt 2) (pow a2 2)) (taylor -inf a2) (#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) #<representation binary64>) () ())) ())
#s(alt (/ (sqrt 2) (pow a2 2)) (taylor -inf a2) (#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) #<representation binary64>) () ())) ())
#s(alt (/ (sqrt 2) (pow a2 2)) (taylor -inf a2) (#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) #<representation binary64>) () ())) ())
#s(alt (/ (sqrt 2) (pow a2 2)) (taylor -inf a2) (#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a2 2) (cos th)) (sqrt 2)) (taylor -inf a2) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) (patch #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))) (taylor -inf a2) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) (patch #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))) (taylor -inf a2) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) (patch #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))) (taylor -inf a2) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) (patch #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) #<representation binary64>) () ())) ())
#s(alt (/ a2 (sqrt 2)) (taylor -inf a2) (#s(alt (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ a2 (sqrt 2)) (taylor -inf a2) (#s(alt (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ a2 (sqrt 2)) (taylor -inf a2) (#s(alt (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ a2 (sqrt 2)) (taylor -inf a2) (#s(alt (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	a2	@	0	((* (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) 1/2) (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (* (sqrt 2) (cos th)) (/ (* a1 a1) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (* a1 a1) (* (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) 1/2) (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (* (+ (* (* th th) -1/2) 1) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (+ (* (* th th) -1/2) 1) (+ (* (/ a1 (sqrt 2)) a1) (/ 1 (/ (sqrt 2) (* a2 a2)))) (/ 1 (/ (sqrt 2) (* a2 a2))) (/ a1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (/ (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (* (/ 1 a2) (/ (sqrt 2) a1))) (* (/ 1 a2) (/ (sqrt 2) a1)) (* (/ 1 a2) a1) (+ (* a1 a1) (* a2 a2)) (sqrt 2) (+ (* a1 a1) (* a2 a2)) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ (sqrt 2) (* a2 a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (sqrt 2) a1) (/ a2 (sqrt 2)))
8.0ms	a1	@	inf	((* (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) 1/2) (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (* (sqrt 2) (cos th)) (/ (* a1 a1) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (* a1 a1) (* (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) 1/2) (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (* (+ (* (* th th) -1/2) 1) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (+ (* (* th th) -1/2) 1) (+ (* (/ a1 (sqrt 2)) a1) (/ 1 (/ (sqrt 2) (* a2 a2)))) (/ 1 (/ (sqrt 2) (* a2 a2))) (/ a1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (/ (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (* (/ 1 a2) (/ (sqrt 2) a1))) (* (/ 1 a2) (/ (sqrt 2) a1)) (* (/ 1 a2) a1) (+ (* a1 a1) (* a2 a2)) (sqrt 2) (+ (* a1 a1) (* a2 a2)) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ (sqrt 2) (* a2 a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (sqrt 2) a1) (/ a2 (sqrt 2)))
5.0ms	a1	@	-inf	((* (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) 1/2) (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (* (sqrt 2) (cos th)) (/ (* a1 a1) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (* a1 a1) (* (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) 1/2) (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (* (+ (* (* th th) -1/2) 1) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (+ (* (* th th) -1/2) 1) (+ (* (/ a1 (sqrt 2)) a1) (/ 1 (/ (sqrt 2) (* a2 a2)))) (/ 1 (/ (sqrt 2) (* a2 a2))) (/ a1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (/ (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (* (/ 1 a2) (/ (sqrt 2) a1))) (* (/ 1 a2) (/ (sqrt 2) a1)) (* (/ 1 a2) a1) (+ (* a1 a1) (* a2 a2)) (sqrt 2) (+ (* a1 a1) (* a2 a2)) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ (sqrt 2) (* a2 a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (sqrt 2) a1) (/ a2 (sqrt 2)))
4.0ms	a1	@	0	((* (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) 1/2) (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (* (sqrt 2) (cos th)) (/ (* a1 a1) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (* a1 a1) (* (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) 1/2) (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (* (+ (* (* th th) -1/2) 1) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (+ (* (* th th) -1/2) 1) (+ (* (/ a1 (sqrt 2)) a1) (/ 1 (/ (sqrt 2) (* a2 a2)))) (/ 1 (/ (sqrt 2) (* a2 a2))) (/ a1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (/ (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (* (/ 1 a2) (/ (sqrt 2) a1))) (* (/ 1 a2) (/ (sqrt 2) a1)) (* (/ 1 a2) a1) (+ (* a1 a1) (* a2 a2)) (sqrt 2) (+ (* a1 a1) (* a2 a2)) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ (sqrt 2) (* a2 a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (sqrt 2) a1) (/ a2 (sqrt 2)))
4.0ms	a2	@	-inf	((* (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) 1/2) (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (* (sqrt 2) (cos th)) (/ (* a1 a1) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (* a1 a1) (* (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) 1/2) (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (* (+ (* (* th th) -1/2) 1) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (+ (* (* th th) -1/2) 1) (+ (* (/ a1 (sqrt 2)) a1) (/ 1 (/ (sqrt 2) (* a2 a2)))) (/ 1 (/ (sqrt 2) (* a2 a2))) (/ a1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (/ (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (* (/ 1 a2) (/ (sqrt 2) a1))) (* (/ 1 a2) (/ (sqrt 2) a1)) (* (/ 1 a2) a1) (+ (* a1 a1) (* a2 a2)) (sqrt 2) (+ (* a1 a1) (* a2 a2)) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ (sqrt 2) (* a2 a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (sqrt 2) a1) (/ a2 (sqrt 2)))

simplify222.0ms (1.9%)

Memory

13.3MiB live, 409.0MiB allocated

Algorithm

1×	egg-herbie

Rules

17 212×	`lower-fma.f64`
17 212×	`lower-fma.f32`
5 718×	`lower-*.f64`
5 718×	`lower-*.f32`
4 820×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	220	7877
1	755	7245
2	2965	6979
3	7294	6979
4	7755	6979
0	8054	6481

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 648

Calls

Call 1

Inputs
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))))
(+ (* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))))
(+ (* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))))
(+ (* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))))
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ a2 a1)
(/ (+ a2 (/ (pow a1 2) a2)) a1)
(/ (+ a2 (/ (pow a1 2) a2)) a1)
(/ (+ a2 (/ (pow a1 2) a2)) a1)
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (sqrt 2) (* a1 a2))
(/ (sqrt 2) (* a1 a2))
(/ (sqrt 2) (* a1 a2))
(/ (sqrt 2) (* a1 a2))
(/ a1 a2)
(/ a1 a2)
(/ a1 a2)
(/ a1 a2)
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(* (pow a2 2) (sqrt 2))
(+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))
(+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))
(+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (sqrt 2) a1)
(/ (sqrt 2) a1)
(/ (sqrt 2) a1)
(/ (sqrt 2) a1)
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))))
(* (pow a1 2) (+ (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))) (/ (* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (pow a1 2))))
(* (pow a1 2) (+ (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))) (/ (* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (pow a1 2))))
(* (pow a1 2) (+ (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))) (/ (* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (pow a1 2))))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ a1 a2)
(* a1 (+ (/ 1 a2) (/ a2 (pow a1 2))))
(* a1 (+ (/ 1 a2) (/ a2 (pow a1 2))))
(* a1 (+ (/ 1 a2) (/ a2 (pow a1 2))))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ (sqrt 2) (* a1 a2))
(/ (sqrt 2) (* a1 a2))
(/ (sqrt 2) (* a1 a2))
(/ (sqrt 2) (* a1 a2))
(/ a1 a2)
(/ a1 a2)
(/ a1 a2)
(/ a1 a2)
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))
(* (pow a1 2) (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))
(* (pow a1 2) (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (sqrt 2) a1)
(/ (sqrt 2) a1)
(/ (sqrt 2) a1)
(/ (sqrt 2) a1)
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))))
(* (pow a1 2) (+ (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))) (/ (* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (pow a1 2))))
(* (pow a1 2) (+ (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))) (/ (* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (pow a1 2))))
(* (pow a1 2) (+ (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))) (/ (* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (pow a1 2))))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ a1 a2)
(* -1 (* a1 (- (* -1 (/ a2 (pow a1 2))) (/ 1 a2))))
(* -1 (* a1 (- (* -1 (/ a2 (pow a1 2))) (/ 1 a2))))
(* -1 (* a1 (- (* -1 (/ a2 (pow a1 2))) (/ 1 a2))))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ (sqrt 2) (* a1 a2))
(/ (sqrt 2) (* a1 a2))
(/ (sqrt 2) (* a1 a2))
(/ (sqrt 2) (* a1 a2))
(/ a1 a2)
(/ a1 a2)
(/ a1 a2)
(/ a1 a2)
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))
(* (pow a1 2) (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))
(* (pow a1 2) (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (sqrt 2) a1)
(/ (sqrt 2) a1)
(/ (sqrt 2) a1)
(/ (sqrt 2) a1)
(* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))
(+ (* 1/2 (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))
(+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))))))
(+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))
(+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))
(+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))))
(+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (+ (* -1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))
(+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (+ (* -1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (+ (* 1/24 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))))))))))
(* (sqrt 2) (+ (pow a1 2) (pow a2 2)))
(+ (* -1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))
(+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/24 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))
(sqrt 2)
(+ (sqrt 2) (* -1/2 (* (pow th 2) (sqrt 2))))
(+ (sqrt 2) (* (pow th 2) (+ (* -1/2 (sqrt 2)) (* 1/24 (* (pow th 2) (sqrt 2))))))
(+ (sqrt 2) (* (pow th 2) (+ (* -1/2 (sqrt 2)) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (sqrt 2))) (* 1/24 (sqrt 2)))))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))
(+ (* 1/2 (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))
(+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))))))
(+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))
(+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))
(+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))))
(+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (+ (* -1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))
(+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (+ (* -1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (+ (* 1/24 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))))))))))
(* (sqrt 2) (+ (pow a1 2) (pow a2 2)))
(+ (* -1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(+ (* -1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(+ (* -1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
1
(+ 1 (* -1/2 (pow th 2)))
(+ 1 (* -1/2 (pow th 2)))
(+ 1 (* -1/2 (pow th 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (sqrt 2))
(* (cos th) (sqrt 2))
(* (cos th) (sqrt 2))
(* (cos th) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(* -1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (/ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (pow th 2))))
(* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (/ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (pow th 2))))
(* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (/ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (pow th 2))))
(* -1/2 (pow th 2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (sqrt 2))
(* (cos th) (sqrt 2))
(* (cos th) (sqrt 2))
(* (cos th) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(* -1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (/ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (pow th 2))))
(* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (/ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (pow th 2))))
(* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (/ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (pow th 2))))
(* -1/2 (pow th 2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (pow a1 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))))
(+ (* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))))
(+ (* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))))
(+ (* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))))
(/ (pow a1 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ a1 a2)
(/ (+ a1 (/ (pow a2 2) a1)) a2)
(/ (+ a1 (/ (pow a2 2) a1)) a2)
(/ (+ a1 (/ (pow a2 2) a1)) a2)
(/ (pow a1 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (sqrt 2) (* a1 a2))
(/ (sqrt 2) (* a1 a2))
(/ (sqrt 2) (* a1 a2))
(/ (sqrt 2) (* a1 a2))
(/ a1 a2)
(/ a1 a2)
(/ a1 a2)
(/ a1 a2)
(pow a1 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(pow a1 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(* (pow a1 2) (sqrt 2))
(+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))
(+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))
(+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))
(/ (sqrt 2) (pow a2 2))
(/ (sqrt 2) (pow a2 2))
(/ (sqrt 2) (pow a2 2))
(/ (sqrt 2) (pow a2 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))))
(* (pow a2 2) (+ (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))) (/ (* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (pow a2 2))))
(* (pow a2 2) (+ (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))) (/ (* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (pow a2 2))))
(* (pow a2 2) (+ (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))) (/ (* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (pow a2 2))))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ a2 a1)
(* a2 (+ (/ 1 a1) (/ a1 (pow a2 2))))
(* a2 (+ (/ 1 a1) (/ a1 (pow a2 2))))
(* a2 (+ (/ 1 a1) (/ a1 (pow a2 2))))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(/ (sqrt 2) (* a1 a2))
(/ (sqrt 2) (* a1 a2))
(/ (sqrt 2) (* a1 a2))
(/ (sqrt 2) (* a1 a2))
(/ a1 a2)
(/ a1 a2)
(/ a1 a2)
(/ a1 a2)
(pow a2 2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(pow a2 2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))
(* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))
(* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))
(/ (sqrt 2) (pow a2 2))
(/ (sqrt 2) (pow a2 2))
(/ (sqrt 2) (pow a2 2))
(/ (sqrt 2) (pow a2 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))))
(* (pow a2 2) (+ (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))) (/ (* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (pow a2 2))))
(* (pow a2 2) (+ (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))) (/ (* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (pow a2 2))))
(* (pow a2 2) (+ (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))) (/ (* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (pow a2 2))))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ a2 a1)
(* -1 (* a2 (- (* -1 (/ a1 (pow a2 2))) (/ 1 a1))))
(* -1 (* a2 (- (* -1 (/ a1 (pow a2 2))) (/ 1 a1))))
(* -1 (* a2 (- (* -1 (/ a1 (pow a2 2))) (/ 1 a1))))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(/ (sqrt 2) (* a1 a2))
(/ (sqrt 2) (* a1 a2))
(/ (sqrt 2) (* a1 a2))
(/ (sqrt 2) (* a1 a2))
(/ a1 a2)
(/ a1 a2)
(/ a1 a2)
(/ a1 a2)
(pow a2 2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(pow a2 2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))
(* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))
(* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))
(/ (sqrt 2) (pow a2 2))
(/ (sqrt 2) (pow a2 2))
(/ (sqrt 2) (pow a2 2))
(/ (sqrt 2) (pow a2 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))

Outputs
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (.f64 (.f64 a2 a2) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/ (pow a1 2) (sqrt 2))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(/ (pow a1 2) (sqrt 2))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(/ (pow a1 2) (sqrt 2))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(/ (pow a1 2) (sqrt 2))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(/ (pow a2 2) (sqrt 2))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (.f64 (.f64 a2 a2) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))))
(.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
(+ (* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/ (pow a2 2) (sqrt 2))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
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(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(* (pow a2 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))))
(.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
(* (pow a2 2) (+ (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))) (/ (* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (pow a2 2))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (+ (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))) (/ (* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (pow a2 2))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (+ (* (sqrt 2) (+ 1 (* -1/2 (pow th 2)))) (/ (* (pow a1 2) (* (sqrt 2) (+ 1 (* -1/2 (pow th 2))))) (pow a2 2))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/ (pow a2 2) (sqrt 2))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(/ (pow a2 2) (sqrt 2))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(/ (pow a2 2) (sqrt 2))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(/ (pow a2 2) (sqrt 2))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(/ (pow a2 2) (sqrt 2))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(/ a2 a1)
(/.f64 a2 a1)
(* -1 (* a2 (- (* -1 (/ a1 (pow a2 2))) (/ 1 a1))))
(fma.f64 (/.f64 a1 (*.f64 a2 a2)) a2 (/.f64 a2 a1))
(* -1 (* a2 (- (* -1 (/ a1 (pow a2 2))) (/ 1 a1))))
(fma.f64 (/.f64 a1 (*.f64 a2 a2)) a2 (/.f64 a2 a1))
(* -1 (* a2 (- (* -1 (/ a1 (pow a2 2))) (/ 1 a1))))
(fma.f64 (/.f64 a1 (*.f64 a2 a2)) a2 (/.f64 a2 a1))
(/ (pow a2 2) (sqrt 2))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(/ (sqrt 2) (* a1 a2))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a2))
(/ (sqrt 2) (* a1 a2))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a2))
(/ (sqrt 2) (* a1 a2))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a2))
(/ (sqrt 2) (* a1 a2))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a2))
(/ a1 a2)
(/.f64 a1 a2)
(/ a1 a2)
(/.f64 a1 a2)
(/ a1 a2)
(/.f64 a1 a2)
(/ a1 a2)
(/.f64 a1 a2)
(pow a2 2)
(*.f64 a2 a2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(fma.f64 a1 a1 (*.f64 a2 a2))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(fma.f64 a1 a1 (*.f64 a2 a2))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(fma.f64 a1 a1 (*.f64 a2 a2))
(pow a2 2)
(*.f64 a2 a2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(fma.f64 a1 a1 (*.f64 a2 a2))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(fma.f64 a1 a1 (*.f64 a2 a2))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(fma.f64 a1 a1 (*.f64 a2 a2))
(* (pow a2 2) (sqrt 2))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)
(* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/ (sqrt 2) (pow a2 2))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))
(/ (sqrt 2) (pow a2 2))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))
(/ (sqrt 2) (pow a2 2))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))
(/ (sqrt 2) (pow a2 2))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(/ a2 (sqrt 2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(/ a2 (sqrt 2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(/ a2 (sqrt 2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(/ a2 (sqrt 2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))

rewrite197.0ms (1.7%)

Memory

-24.6MiB live, 423.5MiB allocated

Rules

6 260×	`lower-fma.f32`
6 252×	`lower-fma.f64`
4 106×	`lower-*.f32`
4 084×	`lower-*.f64`
3 656×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	458
0	94	437
1	311	387
2	2571	372
0	8391	372

Stop Event

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

Counts

28 → 603

Calls

Call 1

Inputs
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal 1/2 binary64))
#s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a1 a1)
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (/.f64 #s(literal 1 binary64) a2) a1))
(/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(*.f64 (/.f64 #s(literal 1 binary64) a2) a1)
(fma.f64 a1 a1 (*.f64 a2 a2))
(sqrt.f64 #s(literal 2 binary64))
#s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2))
(.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))

Outputs
(.f64 #s(literal 1/2 binary64) #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))) #s(literal 1/2 binary64))
#s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 a1 (cos.f64 th)) a1)))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (*.f64 a1 (cos.f64 th)) a1)))))
(.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
(pow.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 a1 (cos.f64 th)) a1))) (.f64 (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 a1 (cos.f64 th)) a1))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 a1 (cos.f64 th)) a1)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 a1 (cos.f64 th)) a1)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 a1 (cos.f64 th)) a1)))) (/.f64 (.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 a1 (cos.f64 th)) a1)))) (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 a1 (cos.f64 th)) a1)))) (/.f64 (.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 a1 (cos.f64 th)) a1)))) (.f64 (/.f64 (.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 a1 (cos.f64 th)) a1)))) (/.f64 (.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (*.f64 a1 (cos.f64 th)) a1))))))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (neg.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1) (.f64 (.f64 (.f64 a2 a2) a2) (.f64 (.f64 a2 a2) a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (neg.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) a1 (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))))) (neg.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1) (.f64 (.f64 (.f64 a2 a2) a2) (.f64 (.f64 a2 a2) a2))))) (neg.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) a1 (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 a1 (cos.f64 th)) a1))) (.f64 (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 a1 (cos.f64 th)) a1)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 a1 (cos.f64 th)) a1))) (.f64 (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 a1 (cos.f64 th)) a1))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))))
(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th) (.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th) (.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th) (.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th) (.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (cos.f64 th)) a2 (.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (cos.f64 th)) a1 (.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 a1 a1) (.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 a2 a2) (.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a1 (cos.f64 th)) a1) (.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 a1 (cos.f64 th)) (.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 a1 (cos.f64 th)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 (cos.f64 th))) (.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 a1 (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 a1 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (cos.f64 th)) (.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (cos.f64 th) a2) (.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (cos.f64 th) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (cos.f64 th) (.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (cos.f64 th) (.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) (.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 a2 (.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) a2)) (.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 a2 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (cos.f64 th)) (.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 a1 (cos.f64 th)) a1)))) (/.f64 (.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 a1 (cos.f64 th)) a1)))))
(+.f64 (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
(.f64 (.f64 (neg.f64 a1) a1) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(.f64 #s(literal 1 binary64) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(.f64 (.f64 a1 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 a1) a1))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 a1) a1)) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 a1) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(/.f64 (*.f64 (neg.f64 a1) a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(neg.f64 (/.f64 (*.f64 (neg.f64 a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (/.f64 (*.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (-.f64 (.f64 (log.f64 a1) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) #s(literal -1 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
#s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(*.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)))
(.f64 #s(literal 1 binary64) (.f64 a1 a1))
(.f64 (.f64 a1 a1) #s(literal 1 binary64))
(*.f64 a1 a1)
(pow.f64 (exp.f64 (log.f64 a1)) #s(literal 2 binary64))
(pow.f64 (*.f64 a1 a1) #s(literal 1 binary64))
(pow.f64 a1 #s(literal 2 binary64))
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(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 a2) a2)) #s(literal -1 binary64)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 a2) a2) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) #s(literal -1 binary64)) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a2 a2)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.f64 (.f64 (neg.f64 a1) a1) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
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(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
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(fma.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1 binary64) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
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(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
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(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
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(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1)
(*.f64 (neg.f64 a1) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
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(*.f64 #s(literal 1 binary64) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a1 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
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(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #s(literal -1 binary64))
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(/.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) a1))
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(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 (neg.f64 a1) (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (/.f64 a1 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 a1 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) #s(literal -1 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))) #s(literal 2 binary64)))
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(/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 a1 a2))
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(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a2))
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(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 a2) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 a2) a1)))
(*.f64 (/.f64 #s(literal 1 binary64) a2) a1)
(*.f64 #s(literal 1 binary64) (/.f64 a1 a2))
(*.f64 a1 (/.f64 #s(literal 1 binary64) a2))
(pow.f64 (/.f64 a2 a1) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 a1 #s(literal -1 binary64))) (neg.f64 (neg.f64 a2)))
(/.f64 (*.f64 a1 #s(literal -1 binary64)) (neg.f64 a2))
(/.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a2)))
(/.f64 (neg.f64 a1) (neg.f64 a2))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a2 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 a2 a1))
(/.f64 a1 a2)
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a2)) (/.f64 a1 (neg.f64 a2)))
(.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1) (.f64 (.f64 (.f64 a2 a2) a2) (.f64 (.f64 a2 a2) a2))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a1 a1) a1) a1 (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(pow.f64 (/.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) a1 (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (fma.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1) (.f64 (.f64 (.f64 a2 a2) a2) (.f64 (*.f64 a2 a2) a2)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 a1 a1) a1) a1) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (.f64 a2 a2) a2) a2) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 a1 a1) a1) a1) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (/.f64 (.f64 (.f64 (.f64 a1 a1) a1) a1) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 a2 a2) a2) a2) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (/.f64 (.f64 (.f64 (.f64 a2 a2) a2) a2) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (.f64 (/.f64 (.f64 (.f64 (.f64 a1 a1) a1) a1) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (/.f64 (.f64 (.f64 (.f64 a2 a2) a2) a2) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 a2 a2) a2) a2) (.f64 (.f64 (.f64 a1 a1) a1) a1))) (neg.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))))) (neg.f64 (neg.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1) (.f64 (.f64 (.f64 a2 a2) a2) (.f64 (.f64 a2 a2) a2))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) a1 (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 a2 a2) a2) a2) (.f64 (.f64 (.f64 a1 a1) a1) a1)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 (neg.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (neg.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1) (.f64 (.f64 (.f64 a2 a2) a2) (.f64 (.f64 a2 a2) a2)))) (neg.f64 (fma.f64 (.f64 (.f64 a2 a2) a2) a2 (-.f64 (.f64 (.f64 (.f64 a1 a1) a1) a1) (.f64 (.f64 (*.f64 a1 a1) a2) a2)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1) (.f64 (.f64 (.f64 a2 a2) a2) (.f64 (.f64 a2 a2) a2)))) (neg.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) a1 (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(/.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(/.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1) (.f64 (.f64 (.f64 a2 a2) a2) (.f64 (.f64 a2 a2) a2))) (fma.f64 (.f64 (.f64 a2 a2) a2) a2 (-.f64 (.f64 (.f64 (.f64 a1 a1) a1) a1) (.f64 (.f64 (*.f64 a1 a1) a2) a2))))
(/.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1) (.f64 (.f64 (.f64 a2 a2) a2) (.f64 (.f64 a2 a2) a2))) (fma.f64 (.f64 (.f64 a1 a1) a1) a1 (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) a1 (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (fma.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1) (.f64 (.f64 (.f64 a2 a2) a2) (.f64 (*.f64 a2 a2) a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) a1 (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (fma.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1) (.f64 (.f64 (.f64 a2 a2) a2) (.f64 (*.f64 a2 a2) a2)))))
(fma.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2)) (*.f64 a1 a1))
(fma.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)) (*.f64 a2 a2))
(fma.f64 #s(literal 1 binary64) (.f64 a1 a1) (.f64 a2 a2))
(fma.f64 #s(literal 1 binary64) (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 (.f64 a1 a1) #s(literal 1 binary64) (.f64 a2 a2))
(fma.f64 (.f64 a2 a2) #s(literal 1 binary64) (.f64 a1 a1))
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(-.f64 (/.f64 (.f64 (.f64 (.f64 a2 a2) a2) a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 (.f64 (.f64 a1 a1) a1) a1) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 a1 a1) a1) a1) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (/.f64 (.f64 (.f64 (.f64 a2 a2) a2) a2) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2))
(.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)))
(.f64 (pow.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 a2) a2)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a2 a2)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 a2 a2)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 #s(literal 1 binary64) a2))
(.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 a2) a2)))
(.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a2 a2)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a2 a2)))
(pow.f64 (/.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 (neg.f64 a2) a2))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) (neg.f64 (neg.f64 a2)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a2)) (neg.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 a2) a2))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (*.f64 (neg.f64 a2) a2)))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (neg.f64 (*.f64 #s(literal 1 binary64) a2)))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (neg.f64 a2))
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 #s(literal 1 binary64) a2))
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)
(/.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) #s(literal -1 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 a2) a2)))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 a2) a2))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
(/.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 a2) a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 a2) a2))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 a2) a2)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (log.f64 a2) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a1) (+.f64 (/.f64 a2 a1) (/.f64 a1 a2))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 a1)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a1))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 a1)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) a1) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a1) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 a1)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) a1))
(pow.f64 (/.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #s(literal 1 binary64))
(pow.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a1)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (neg.f64 (neg.f64 a1))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (neg.f64 a1)))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (neg.f64 a1)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 a1))
(/.f64 (/.f64 #s(literal 1 binary64) a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 a1))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) a1))
(neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 a1)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 a1)))
(exp.f64 (*.f64 (log.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a2)
(*.f64 (neg.f64 a2) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a2 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 a2))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 (neg.f64 a2) (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (/.f64 a2 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 a2 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) #s(literal -1 binary64)))

eval185.0ms (1.6%)

Memory: -6.3MiB live, 504.9MiB allocated
Compiler: Compiled 29 536 to 2 108 computations (92.9% saved)

prune227.0ms (2%)

Memory

20.5MiB live, 585.5MiB allocated

Pruning

52 alts after pruning (47 fresh and 5 done)

	Pruned	Kept	Total
New	1 335	21	1 356
Fresh	10	26	36
Picked	2	3	5
Done	0	2	2
Total	1 347	52	1 399

Accuracy

100.0%

Counts

1 399 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.1%	(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (.f64 (fma.f64 (*.f64 th th) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
	68.1%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))))
✓	99.7%	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
	59.7%	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
	98.7%	(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
	59.7%	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
	68.0%	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
	50.7%	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))) #s(literal 1/2 binary64))
	14.7%	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
	59.0%	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(approx (* (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))) #s(literal 1/2 binary64))
	68.0%	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
	50.7%	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
	59.0%	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)))) #s(literal 1/2 binary64))
	98.7%	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) #s(literal 1/2 binary64))
✓	99.5%	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal 1/2 binary64))
	98.7%	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))) #s(literal 1/2 binary64))
	59.0%	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
	13.7%	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 #s(approx (+ ( (* th th) -1/2) 1) (.f64 (.f64 th th) #s(literal -1/2 binary64))) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
	67.3%	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 #s(approx (+ ( (* th th) -1/2) 1) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
	15.6%	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) #s(approx (* (+ (* (* th th) -1/2) 1) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) th) th)))) #s(literal 1/2 binary64))
	98.8%	(.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
	98.7%	#s(approx (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	68.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
✓	68.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
	68.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))))
	68.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) a2) (sqrt.f64 #s(literal 2 binary64)))) a2)))
	68.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) a2) (.f64 a1 a1))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
	62.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
	67.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
	56.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)))))
	67.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 a2))))
	62.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 a2)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
	62.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 a2)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
	62.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 #s(literal 1 binary64) a1) (/.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
	58.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
	58.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (/.f64 (fma.f64 a2 (/.f64 a2 a1) a1) a2)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
	61.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (/.f64 a2 a1)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
	67.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
	59.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))))
	65.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) a2))
	62.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a2)))
	61.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) a2) (sqrt.f64 #s(literal 2 binary64))) a1))
	62.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a1)))
	62.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (neg.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a2)))))
	67.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (* (/ 1 a2) (/ (sqrt 2) a1))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
✓	14.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
	14.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
	35.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1))))
✓	14.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
	14.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))
	14.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 a1 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1))))
	35.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (+ (* (/ a2 (* a1 a1)) a2) 1) (* (* a1 (cos th)) (/ a1 (sqrt 2)))) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))

Compiler

Compiled 2 663 to 911 computations (65.8% saved)

regimes198.0ms (1.7%)

Memory

8.8MiB live, 441.3MiB allocated

Counts

91 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (* (sqrt 2) (/ (sqrt 2) a2))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (* (/ 1 a2) (/ (sqrt 2) a1))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 #s(approx (+ ( (* th th) -1/2) 1) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 a1 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 #s(approx (+ ( (* th th) -1/2) 1) (.f64 (.f64 th th) #s(literal -1/2 binary64))) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(approx (* (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
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(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (.f64 (fma.f64 (*.f64 th th) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (+ (* (/ a2 (* a1 a1)) a2) 1) (* (* a1 (cos th)) (/ a1 (sqrt 2)))) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) a2) (sqrt.f64 #s(literal 2 binary64))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a2)))
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#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) a2) (sqrt.f64 #s(literal 2 binary64)))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (neg.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (/.f64 (fma.f64 a2 (/.f64 a2 a1) a1) a2)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 #s(literal 1 binary64) a1) (/.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))) #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) a2) (.f64 a1 a1))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 a2)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 a2)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 (fma.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 th th)))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) a2)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))) #s(literal 1/2 binary64))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))))
(.f64 (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(approx ( (* a1 (cos th)) (* a1 (sqrt 2))) (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(/.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (cos.f64 th)) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 a2 a2) a2) a2) (.f64 a2 a2) (.f64 (.f64 (.f64 (.f64 a1 a1) a1) a1) (.f64 a1 a1))) (cos.f64 th)) (.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) a1 (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1) (.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(/.f64 (/.f64 (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))

Outputs
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))

Calls

8 calls:

26.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
26.0ms	a2
26.0ms	(*.f64 a2 a2)
24.0ms	th
24.0ms	a1

Results

Accuracy	Segments	Branch
99.7%	1	`a1`
99.7%	1	`a2`
99.7%	1	`th`
99.7%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
99.7%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.7%	1	`(cos.f64 th)`
99.7%	1	`(*.f64 a1 a1)`
99.7%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes166.0ms (1.5%)

Memory

0.4MiB live, 358.8MiB allocated

Counts

76 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (* (sqrt 2) (/ (sqrt 2) a2))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (* (/ 1 a2) (/ (sqrt 2) a1))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 #s(approx (+ ( (* th th) -1/2) 1) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 a1 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 #s(approx (+ ( (* th th) -1/2) 1) (.f64 (.f64 th th) #s(literal -1/2 binary64))) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(approx (* (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) #s(approx (* (+ (* (* th th) -1/2) 1) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) th) th)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (.f64 (fma.f64 (*.f64 th th) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (+ (* (/ a2 (* a1 a1)) a2) 1) (* (* a1 (cos th)) (/ a1 (sqrt 2)))) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) a2) (sqrt.f64 #s(literal 2 binary64))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (/.f64 a2 a1)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) a2) (sqrt.f64 #s(literal 2 binary64)))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (neg.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (/.f64 (fma.f64 a2 (/.f64 a2 a1) a1) a2)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 #s(literal 1 binary64) a1) (/.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))) #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) a2) (.f64 a1 a1))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 a2)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 a2)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 (fma.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 th th)))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) a2)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))) #s(literal 1/2 binary64))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))

Outputs
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))

Calls

8 calls:

24.0ms	(cos.f64 th)
21.0ms	th
21.0ms	(*.f64 a2 a2)
20.0ms	a2
20.0ms	a1

Results

Accuracy	Segments	Branch
99.6%	1	`a1`
99.6%	1	`a2`
99.6%	1	`th`
99.6%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
99.6%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.6%	1	`(cos.f64 th)`
99.6%	1	`(*.f64 a1 a1)`
99.6%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes175.0ms (1.5%)

Memory

-14.9MiB live, 336.4MiB allocated

Counts

75 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (* (sqrt 2) (/ (sqrt 2) a2))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (* (/ 1 a2) (/ (sqrt 2) a1))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 #s(approx (+ ( (* th th) -1/2) 1) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 a1 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 #s(approx (+ ( (* th th) -1/2) 1) (.f64 (.f64 th th) #s(literal -1/2 binary64))) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(approx (* (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) #s(approx (* (+ (* (* th th) -1/2) 1) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) th) th)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (.f64 (fma.f64 (*.f64 th th) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (+ (* (/ a2 (* a1 a1)) a2) 1) (* (* a1 (cos th)) (/ a1 (sqrt 2)))) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) a2) (sqrt.f64 #s(literal 2 binary64))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (/.f64 a2 a1)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) a2) (sqrt.f64 #s(literal 2 binary64)))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (neg.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (/.f64 (fma.f64 a2 (/.f64 a2 a1) a1) a2)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 #s(literal 1 binary64) a1) (/.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))) #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) a2) (.f64 a1 a1))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 a2)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 a2)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 (fma.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 th th)))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) a2)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))) #s(literal 1/2 binary64))

Outputs
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))) #s(literal 1/2 binary64))

Calls

8 calls:

23.0ms	th
22.0ms	a2
21.0ms	a1
21.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
21.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
99.5%	1	`a1`
99.5%	1	`a2`
99.5%	1	`th`
99.5%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
99.5%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.5%	1	`(cos.f64 th)`
99.5%	1	`(*.f64 a1 a1)`
99.5%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes171.0ms (1.5%)

Memory

7.4MiB live, 376.3MiB allocated

Counts

74 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (* (sqrt 2) (/ (sqrt 2) a2))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (* (/ 1 a2) (/ (sqrt 2) a1))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 #s(approx (+ ( (* th th) -1/2) 1) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 a1 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 #s(approx (+ ( (* th th) -1/2) 1) (.f64 (.f64 th th) #s(literal -1/2 binary64))) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(approx (* (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) #s(approx (* (+ (* (* th th) -1/2) 1) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) th) th)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (.f64 (fma.f64 (*.f64 th th) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (+ (* (/ a2 (* a1 a1)) a2) 1) (* (* a1 (cos th)) (/ a1 (sqrt 2)))) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) a2) (sqrt.f64 #s(literal 2 binary64))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (/.f64 a2 a1)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) a2) (sqrt.f64 #s(literal 2 binary64)))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (neg.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (/.f64 (fma.f64 a2 (/.f64 a2 a1) a1) a2)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 #s(literal 1 binary64) a1) (/.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))) #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) a2) (.f64 a1 a1))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 a2)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 a2)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 (fma.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 th th)))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) a2)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal 1/2 binary64))

Outputs

(*.f64 #s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal 1/2 binary64))

Calls

8 calls:

27.0ms	(*.f64 a2 a2)
21.0ms	a1
20.0ms	th
20.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
20.0ms	a2

Results

Accuracy	Segments	Branch
99.5%	1	`a1`
99.5%	1	`a2`
99.5%	1	`th`
99.5%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
99.5%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.5%	1	`(cos.f64 th)`
99.5%	1	`(*.f64 a1 a1)`
99.5%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes159.0ms (1.4%)

Memory

8.1MiB live, 326.5MiB allocated

Counts

73 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (* (sqrt 2) (/ (sqrt 2) a2))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (* (/ 1 a2) (/ (sqrt 2) a1))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 #s(approx (+ ( (* th th) -1/2) 1) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 a1 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 #s(approx (+ ( (* th th) -1/2) 1) (.f64 (.f64 th th) #s(literal -1/2 binary64))) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(approx (* (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) #s(approx (* (+ (* (* th th) -1/2) 1) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) th) th)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (.f64 (fma.f64 (*.f64 th th) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (+ (* (/ a2 (* a1 a1)) a2) 1) (* (* a1 (cos th)) (/ a1 (sqrt 2)))) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) a2) (sqrt.f64 #s(literal 2 binary64))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (/.f64 a2 a1)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) a2) (sqrt.f64 #s(literal 2 binary64)))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (neg.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (/.f64 (fma.f64 a2 (/.f64 a2 a1) a1) a2)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 #s(literal 1 binary64) a1) (/.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))) #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) a2) (.f64 a1 a1))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 a2)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 a2)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 (fma.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 th th)))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) a2)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))

Outputs
(.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))

Calls

8 calls:

22.0ms	a1
20.0ms	th
20.0ms	a2
19.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
19.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
98.8%	1	`a1`
98.8%	1	`a2`
98.8%	1	`th`
98.8%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
98.8%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
98.8%	1	`(cos.f64 th)`
98.8%	1	`(*.f64 a1 a1)`
98.8%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes152.0ms (1.3%)

Memory

-17.7MiB live, 256.6MiB allocated

Counts

71 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (* (sqrt 2) (/ (sqrt 2) a2))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (* (/ 1 a2) (/ (sqrt 2) a1))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 #s(approx (+ ( (* th th) -1/2) 1) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 a1 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 #s(approx (+ ( (* th th) -1/2) 1) (.f64 (.f64 th th) #s(literal -1/2 binary64))) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(approx (* (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) #s(approx (* (+ (* (* th th) -1/2) 1) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) th) th)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (.f64 (fma.f64 (*.f64 th th) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (+ (* (/ a2 (* a1 a1)) a2) 1) (* (* a1 (cos th)) (/ a1 (sqrt 2)))) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) a2) (sqrt.f64 #s(literal 2 binary64))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (/.f64 a2 a1)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) a2) (sqrt.f64 #s(literal 2 binary64)))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (neg.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (/.f64 (fma.f64 a2 (/.f64 a2 a1) a1) a2)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 #s(literal 1 binary64) a1) (/.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))) #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) a2) (.f64 a1 a1))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 a2)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 a2)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 (fma.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 th th)))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) a2)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))

Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))

Calls

8 calls:

19.0ms	a2
19.0ms	th
19.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
19.0ms	(*.f64 a2 a2)
18.0ms	a1

Results

Accuracy	Segments	Branch
98.7%	1	`a1`
98.7%	1	`a2`
98.7%	1	`th`
98.7%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
98.7%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
98.7%	1	`(cos.f64 th)`
98.7%	1	`(*.f64 a1 a1)`
98.7%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes149.0ms (1.3%)

Memory

8.5MiB live, 243.6MiB allocated

Counts

69 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (* (sqrt 2) (/ (sqrt 2) a2))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (* (/ 1 a2) (/ (sqrt 2) a1))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 #s(approx (+ ( (* th th) -1/2) 1) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 a1 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 #s(approx (+ ( (* th th) -1/2) 1) (.f64 (.f64 th th) #s(literal -1/2 binary64))) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(approx (* (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) #s(approx (* (+ (* (* th th) -1/2) 1) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) th) th)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (.f64 (fma.f64 (*.f64 th th) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (+ (* (/ a2 (* a1 a1)) a2) 1) (* (* a1 (cos th)) (/ a1 (sqrt 2)))) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) a2) (sqrt.f64 #s(literal 2 binary64))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (/.f64 a2 a1)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) a2) (sqrt.f64 #s(literal 2 binary64)))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (neg.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (/.f64 (fma.f64 a2 (/.f64 a2 a1) a1) a2)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 #s(literal 1 binary64) a1) (/.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))) #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) a2) (.f64 a1 a1))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 a2)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 a2)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 (fma.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 th th)))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) a2)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) #s(literal 1/2 binary64))

Outputs
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) #s(literal 1/2 binary64))

Calls

8 calls:

20.0ms	a1
20.0ms	a2
19.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
19.0ms	th
18.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))

Results

Accuracy	Segments	Branch
98.7%	1	`a1`
98.7%	1	`a2`
98.7%	1	`(*.f64 a1 a1)`
98.7%	1	`(*.f64 a2 a2)`
98.7%	1	`th`
98.7%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
98.7%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
98.7%	1	`(cos.f64 th)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes146.0ms (1.3%)

Memory

27.4MiB live, 223.1MiB allocated

Counts

68 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (* (sqrt 2) (/ (sqrt 2) a2))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (* (/ 1 a2) (/ (sqrt 2) a1))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 #s(approx (+ ( (* th th) -1/2) 1) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 a1 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 #s(approx (+ ( (* th th) -1/2) 1) (.f64 (.f64 th th) #s(literal -1/2 binary64))) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(approx (* (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) #s(approx (* (+ (* (* th th) -1/2) 1) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) th) th)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (.f64 (fma.f64 (*.f64 th th) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (+ (* (/ a2 (* a1 a1)) a2) 1) (* (* a1 (cos th)) (/ a1 (sqrt 2)))) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) a2) (sqrt.f64 #s(literal 2 binary64))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (/.f64 a2 a1)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) a2) (sqrt.f64 #s(literal 2 binary64)))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (neg.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (/.f64 (fma.f64 a2 (/.f64 a2 a1) a1) a2)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 #s(literal 1 binary64) a1) (/.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))) #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) a2) (.f64 a1 a1))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 a2)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 a2)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 (fma.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 th th)))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) a2)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))) #s(literal 1/2 binary64))

Outputs
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))) #s(literal 1/2 binary64))

Calls

8 calls:

21.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
19.0ms	a1
19.0ms	th
18.0ms	(cos.f64 th)
17.0ms	a2

Results

Accuracy	Segments	Branch
98.7%	1	`a1`
98.7%	1	`a2`
98.7%	1	`th`
98.7%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
98.7%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
98.7%	1	`(cos.f64 th)`
98.7%	1	`(*.f64 a1 a1)`
98.7%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes145.0ms (1.3%)

Memory

6.9MiB live, 200.0MiB allocated

Counts

67 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (* (sqrt 2) (/ (sqrt 2) a2))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (* (/ 1 a2) (/ (sqrt 2) a1))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 #s(approx (+ ( (* th th) -1/2) 1) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 a1 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 #s(approx (+ ( (* th th) -1/2) 1) (.f64 (.f64 th th) #s(literal -1/2 binary64))) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(approx (* (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) #s(approx (* (+ (* (* th th) -1/2) 1) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) th) th)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (.f64 (fma.f64 (*.f64 th th) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (+ (* (/ a2 (* a1 a1)) a2) 1) (* (* a1 (cos th)) (/ a1 (sqrt 2)))) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) a2) (sqrt.f64 #s(literal 2 binary64))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (/.f64 a2 a1)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) a2) (sqrt.f64 #s(literal 2 binary64)))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (neg.f64 (+.f64 (/.f64 a2 a1) (/.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (/.f64 (fma.f64 a2 (/.f64 a2 a1) a1) a2)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 #s(literal 1 binary64) a1) (/.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))) #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) a2) (.f64 a1 a1))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 a2)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 a2)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 (fma.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 #s(literal 1 binary64) a2) a1)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 th th)))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) th)) (.f64 (.f64 th th) th) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) a2)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 a1 a1) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))

Outputs

(*.f64 #s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) #s(approx (* (+ (* (* th th) -1/2) 1) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) th) th)))) #s(literal 1/2 binary64))

(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))))

Calls

8 calls:

21.0ms	th
19.0ms	a1
18.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
17.0ms	(cos.f64 th)
17.0ms	a2

Results

Accuracy	Segments	Branch
68.1%	1	`a2`
68.1%	1	`th`
75.6%	2	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
75.6%	2	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
75.6%	2	`(cos.f64 th)`
68.1%	1	`(*.f64 a2 a2)`
68.1%	1	`a1`
68.1%	1	`(*.f64 a1 a1)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes7.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

20 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (* (sqrt 2) (/ (sqrt 2) a2))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (* (/ 1 a2) (/ (sqrt 2) a1))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 #s(approx (+ ( (* th th) -1/2) 1) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 a1 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 #s(approx (+ ( (* th th) -1/2) 1) (.f64 (.f64 th th) #s(literal -1/2 binary64))) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(approx (* (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))

Outputs

(*.f64 #s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (*.f64 (*.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2)) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))

(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))))

Calls

1 calls:

6.0ms

(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))

Results

Accuracy	Segments	Branch
75.6%	2	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`

Compiler

Compiled 22 to 12 computations (45.5% saved)

regimes10.0ms (0.1%)

Memory

-32.6MiB live, 8.7MiB allocated

Counts

15 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (* (sqrt 2) (/ (sqrt 2) a2))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (* (/ 1 a2) (/ (sqrt 2) a1))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 #s(approx (+ ( (* th th) -1/2) 1) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 a1 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 #s(approx (+ ( (* th th) -1/2) 1) (.f64 (.f64 th th) #s(literal -1/2 binary64))) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))

Outputs

(*.f64 #s(approx (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (*.f64 #s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))

(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))))

Calls

1 calls:

9.0ms

(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))

Results

Accuracy	Segments	Branch
75.6%	2	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`

Compiler

Compiled 22 to 12 computations (45.5% saved)

regimes26.0ms (0.2%)

Memory

-4.4MiB live, 33.0MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (* (sqrt 2) (/ (sqrt 2) a2))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (* (/ 1 a2) (/ (sqrt 2) a1))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 #s(approx (+ ( (* th th) -1/2) 1) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 a1 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))

Outputs
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))))

Calls

5 calls:

4.0ms	a2
4.0ms	(cos.f64 th)
4.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
4.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
4.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
68.1%	1	`a2`
68.1%	1	`(*.f64 a2 a2)`
68.1%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
68.1%	1	`(cos.f64 th)`
68.1%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes31.0ms (0.3%)

Memory

4.7MiB live, 42.5MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (* (sqrt 2) (/ (sqrt 2) a2))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (* (/ 1 a2) (/ (sqrt 2) a1))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 #s(approx (+ ( (* th th) -1/2) 1) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 a1 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))

Outputs
(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))

Calls

8 calls:

6.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
4.0ms	a2
4.0ms	a1
4.0ms	th
3.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
68.0%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
68.0%	1	`a1`
68.0%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
68.0%	1	`(cos.f64 th)`
68.0%	1	`(*.f64 a1 a1)`
68.0%	1	`th`
68.0%	1	`a2`
68.0%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes29.0ms (0.3%)

Memory

1.2MiB live, 39.1MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (* (sqrt 2) (/ (sqrt 2) a2))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (* (/ 1 a2) (/ (sqrt 2) a1))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 #s(approx (+ ( (* th th) -1/2) 1) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 a1 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))

Outputs
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))

Calls

8 calls:

6.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
3.0ms	a1
3.0ms	th
3.0ms	a2
3.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
68.0%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
68.0%	1	`a1`
68.0%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
68.0%	1	`(cos.f64 th)`
68.0%	1	`(*.f64 a1 a1)`
68.0%	1	`th`
68.0%	1	`a2`
68.0%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes22.0ms (0.2%)

Memory

34.0MiB live, 34.0MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (* a1 a1) (/ (sqrt 2) a2)) (* (sqrt 2) a2)) (* (sqrt 2) (/ (sqrt 2) a2))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (/ a2 (sqrt 2)) (/ (sqrt 2) a1)) (* (/ 1 a2) a1)) (* (/ 1 a2) (/ (sqrt 2) a1))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 #s(approx (+ ( (* th th) -1/2) 1) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (.f64 a1 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1))))

Outputs

#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))

Calls

8 calls:

3.0ms	a2
3.0ms	th
3.0ms	a1
3.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
3.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
67.4%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
67.4%	1	`a1`
67.4%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
67.4%	1	`(cos.f64 th)`
67.4%	1	`(*.f64 a1 a1)`
67.4%	1	`th`
67.4%	1	`a2`
67.4%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes14.0ms (0.1%)

Memory

-22.5MiB live, 20.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))

Outputs

#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))

Calls

8 calls:

5.0ms	a2
1.0ms	th
1.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
1.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
1.0ms	a1

Results

Accuracy	Segments	Branch
14.9%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
14.9%	1	`a1`
14.9%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
14.9%	1	`(cos.f64 th)`
14.9%	1	`(*.f64 a1 a1)`
14.9%	1	`th`
14.9%	1	`a2`
14.9%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.558160176057792e-122	-2.9020421832942485e-124

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.558160176057792e-122	-2.9020421832942485e-124

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.558160176057792e-122	-2.9020421832942485e-124

Compiler

Compiled 25 to 18 computations (28% saved)

simplify8.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Algorithm

1×	egg-herbie

Rules

70×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	586
1	148	586

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))) #s(literal 1/2 binary64))
(if (<=.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #s(literal -1162941958872971/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) (.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) #s(approx (* (+ (* (* th th) -1/2) 1) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) th) th)))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64)))))
(if (<=.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #s(literal -1162941958872971/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) (.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64)))))
(if (<=.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #s(literal -1162941958872971/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) (.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 #s(approx (+ ( (* th th) -1/2) 1) (.f64 (.f64 th th) #s(literal -1/2 binary64))) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))

Outputs
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) a2)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) #s(literal 1/2 binary64))
(if (<=.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #s(literal -1162941958872971/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) (.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) #s(approx (* (+ (* (* th th) -1/2) 1) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) th) th)))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64)))))
(if (<=.f64 (+.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))) #s(literal -1162941958872971/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) (.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) #s(approx (* (+ (* (* th th) -1/2) 1) (* (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (.f64 (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) th) th) (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64)))))
(if (<=.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #s(literal -1162941958872971/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) (.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64)))))
(if (<=.f64 (+.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))) #s(literal -1162941958872971/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) (.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) #s(approx (+ ( a1 a1) (* a2 a2)) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64)))))
(if (<=.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #s(literal -1162941958872971/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) (.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 #s(approx (+ ( (* th th) -1/2) 1) (.f64 (.f64 th th) #s(literal -1/2 binary64))) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64)))))
(if (<=.f64 (+.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))) #s(literal -1162941958872971/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) (.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ ( (* th th) -1/2) 1) (.f64 (.f64 th th) #s(literal -1/2 binary64))))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a1 (sqrt 2)) a1) (* (/ a2 (sqrt 2)) a2)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))

soundness1.9s (17.1%)

Memory

-23.3MiB live, 1 252.6MiB allocated

Rules

34 694×	`lower-fma.f64`
34 694×	`lower-fma.f32`
20 810×	`lower-fma.f64`
20 810×	`lower-fma.f32`
18 560×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	458
0	94	437
1	311	387
2	2571	372
0	8391	372
0	12	44
0	20	38
1	58	38
2	411	38
3	7331	38
0	8434	37
0	39	237
0	64	223
1	206	211
2	1535	208
0	8228	208
0	220	7877
1	755	7245
2	2965	6979
3	7294	6979
4	7755	6979
0	8054	6481
0	237	7977
1	832	7381
2	3269	7045
0	8230	6594
0	111	1498
1	343	1366
2	1206	1262
3	3900	1233
0	8428	1172
0	261	7392
1	910	6810
2	3475	6396
0	8094	6010

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

Compiler

Compiled 991 to 452 computations (54.4% saved)

preprocess265.0ms (2.3%)

Memory

42.2MiB live, 394.5MiB allocated

Remove

(abs a2)

(abs th)

Compiler

Compiled 2 078 to 1 104 computations (46.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (8.9%)

explain131.0ms (1.1%)

preprocess134.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize41.0ms (0.4%)

series21.0ms (0.2%)

simplify232.0ms (2%)

rewrite204.0ms (1.8%)

eval56.0ms (0.5%)

prune92.0ms (0.8%)

simplify127.0ms (1.1%)

localize162.0ms (1.4%)

series103.0ms (0.9%)

simplify323.0ms (2.8%)

rewrite346.0ms (3%)

eval518.0ms (4.6%)

prune551.0ms (4.8%)

simplify335.0ms (2.9%)

localize198.0ms (1.7%)

series140.0ms (1.2%)

simplify334.0ms (2.9%)

rewrite397.0ms (3.5%)

eval536.0ms (4.7%)

prune350.0ms (3.1%)

simplify168.0ms (1.5%)

localize134.0ms (1.2%)

series75.0ms (0.7%)

simplify222.0ms (1.9%)

rewrite197.0ms (1.7%)

eval185.0ms (1.6%)

prune227.0ms (2%)

regimes198.0ms (1.7%)

regimes166.0ms (1.5%)

regimes175.0ms (1.5%)

regimes171.0ms (1.5%)

regimes159.0ms (1.4%)

regimes152.0ms (1.3%)

regimes149.0ms (1.3%)

regimes146.0ms (1.3%)

regimes145.0ms (1.3%)

regimes7.0ms (0.1%)

regimes10.0ms (0.1%)

regimes26.0ms (0.2%)

regimes31.0ms (0.3%)

regimes29.0ms (0.3%)

regimes22.0ms (0.2%)

regimes14.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness1.9s (17.1%)

preprocess265.0ms (2.3%)

end0.0ms (0%)

Profiling