Metrics for Migdal et al, Equation (64)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample1.3s (10.9%)

Memory

-103.1MiB live, 1 874.9MiB allocated

Samples

754.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 544.0ms

ival-cos: 200.0ms (36.8% of total)

ival-mult: 188.0ms (34.6% of total)

ival-sqrt: 58.0ms (10.7% of total)

ival-div: 49.0ms (9% of total)

ival-add: 35.0ms (6.4% of total)

exact: 6.0ms (1.1% of total)

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

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

Bogosity

explain138.0ms (1.1%)

Memory

-18.6MiB live, 301.3MiB 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: 33.0ms

ival-mult: 12.0ms (35.9% of total)

ival-cos: 11.0ms (32.9% of total)

ival-sqrt: 4.0ms (12% of total)

ival-div: 3.0ms (9% of total)

ival-add: 2.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess138.0ms (1.1%)

Memory

8.0MiB live, 46.6MiB 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 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))

Symmetry

(abs th)

(abs a2)

(abs a1)

(sort a1 a2)

Compiler

Compiled 22 to 12 computations (45.5% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(+.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)

simplify6.0ms (0%)

Memory

13.6MiB live, 13.6MiB 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 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
(.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(/.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 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a2 a2)
a2

localize45.0ms (0.4%)

Memory

-26.5MiB live, 93.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.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	0.19140625	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
accuracy	0.201503759768442	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
accuracy	0.717128759768442	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Samples

28.0ms

256×

valid

Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions

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

ival-mult: 7.0ms (40.3% of total)

ival-cos: 6.0ms (34.5% of total)

ival-div: 2.0ms (11.5% of total)

ival-sqrt: 2.0ms (11.5% of total)

ival-add: 1.0ms (5.8% 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

6.6MiB live, 45.2MiB 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
4.0ms	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)))
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)))

simplify390.0ms (3.2%)

Memory

13.9MiB live, 599.4MiB 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 a2 (.f64 a2 (cos.f64 th))) (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) (fma.f64 a2 a2 (.f64 a1 a1))) (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) (fma.f64 a2 a2 (.f64 a1 a1))) (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) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (.f64 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 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 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 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 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 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (.f64 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 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 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 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 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 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (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 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 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 a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(.f64 (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (.f64 th th) (fma.f64 th (.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #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 th th) (.f64 (.f64 (/.f64 (.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))
(.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (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 a1) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 th th) (fma.f64 th (.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #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 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th)) (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(/ 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 (.f64 th th) #s(literal -1/2 binary64) #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 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 th (.f64 th #s(literal 1/24 binary64)) #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 th th) (.f64 (/.f64 (.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #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 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(fma.f64 (.f64 th th) (fma.f64 th (.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(fma.f64 th (.f64 th (fma.f64 (.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))
(.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (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 a2) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 th th) (fma.f64 th (.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #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 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th)) (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (/.f64 (.f64 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) (fma.f64 a2 a2 (.f64 a1 a1))) (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) (fma.f64 a2 a2 (.f64 a1 a1))) (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) (fma.f64 a2 a2 (.f64 a1 a1))) (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) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 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 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (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) (fma.f64 a2 a2 (.f64 a1 a1))) (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) (fma.f64 a2 a2 (.f64 a1 a1))) (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) (fma.f64 a2 a2 (.f64 a1 a1))) (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) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 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 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (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) (fma.f64 a2 a2 (.f64 a1 a1))) (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) (fma.f64 a2 a2 (.f64 a1 a1))) (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) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (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 (.f64 a2 a2) (.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (cos.f64 th))) (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 (.f64 a2 a2) (.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (cos.f64 th))) (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 (.f64 a2 a2) (.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (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 (.f64 a2 a2) (.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (cos.f64 th))) (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 (.f64 a2 a2) (.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (cos.f64 th))) (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 (.f64 a2 a2) (.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))

rewrite584.0ms (4.8%)

Memory

-19.4MiB live, 388.8MiB 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 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))) #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))) #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64)))))
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(/.f64 (neg.f64 (.f64 (.f64 a1 a1) (neg.f64 (cos.f64 th)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (.f64 (.f64 a1 a1) (neg.f64 (cos.f64 th))) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) #s(literal -1 binary64))
(.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
(.f64 a1 (/.f64 (.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (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 a1 a1)))
(.f64 (neg.f64 (cos.f64 th)) (/.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(literal 1 binary64) (.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) (*.f64 a1 a1)))
(.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 (.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1)
(.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (*.f64 a1 a1) (neg.f64 (cos.f64 th))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a1 (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 th))
(.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(.f64 (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 #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))) (/.f64 (.f64 a1 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64)) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (.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 (cos.f64 th) a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 a1 a1) #s(literal -1 binary64)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (cos.f64 th)))
(.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) (/.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 0 binary64) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.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)) (neg.f64 (cos.f64 th))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th))) (neg.f64 (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 (neg.f64 (cos.f64 th)) #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 (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 (neg.f64 (cos.f64 th)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(*.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 #s(literal -1 binary64) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (cos.f64 th)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th))) (/.f64 #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))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.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)))
(cos.f64 th)
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 th)))
(neg.f64 (neg.f64 (cos.f64 th)))
(*.f64 (cos.f64 th) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 th))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 th)))
(neg.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (.f64 a2 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (.f64 a2 a2))) #s(literal 1 binary64)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (.f64 a2 a2)))))
(/.f64 (.f64 (.f64 a2 a2) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (cos.f64 th))))
(/.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(/.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 a2 a2) #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (cos.f64 th))))
(/.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 a2 a2) (neg.f64 (cos.f64 th)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (.f64 (.f64 a2 a2) (neg.f64 (cos.f64 th))) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (.f64 a2 a2))) #s(literal -1 binary64))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (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 (neg.f64 (cos.f64 th)) (/.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) (*.f64 a2 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 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) a2)
(.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (*.f64 a2 a2) (neg.f64 (cos.f64 th))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(.f64 (.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 #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))) (/.f64 (.f64 a2 a2) (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 a2) (sqrt.f64 #s(literal 2 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 (.f64 (cos.f64 th) 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 (.f64 a2 a2) #s(literal -1 binary64)) (/.f64 (cos.f64 th) (neg.f64 (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 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))

eval58.0ms (0.5%)

Memory: 20.2MiB live, 96.7MiB allocated
Compiler: Compiled 14 708 to 1 013 computations (93.1% saved)

prune115.0ms (1%)

Memory

-18.5MiB live, 142.1MiB allocated

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	471	19	490
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	472	19	491

Accuracy

100.0%

Counts

491 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th) (.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
▶	99.6%	(/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
	99.6%	(/.f64 (/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
	15.6%	(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))
▶	15.7%	(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
	26.6%	(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
	26.6%	(/.f64 (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.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 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))))
	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2)))))
	99.6%	(.f64 (fma.f64 (cos.f64 th) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1)))) #s(literal 1/2 binary64))
▶	99.6%	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
	99.6%	(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
	26.5%	(.f64 (/.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) #s(literal 2 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64)))
	99.5%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
▶	69.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
▶	52.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
	98.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
	61.7%	#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)) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))))

Compiler

Compiled 914 to 508 computations (44.4% saved)

simplify232.0ms (1.9%)

Memory

24.2MiB live, 182.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))
cost-diff	0	(.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th))
cost-diff	0	(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	128	(-.f64 (.f64 a2 a2) (.f64 a1 a1))
cost-diff	0	(fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))
cost-diff	0	(/.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.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))) (/.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	1344	(.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1)))
cost-diff	0	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(*.f64 a2 a2)
cost-diff	0	(fma.f64 a1 a1 (*.f64 a2 a2))
cost-diff	0	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(/.f64 a2 (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 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	1344	(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	(*.f64 a2 a2)
cost-diff	0	(fma.f64 a1 a1 (*.f64 a2 a2))
cost-diff	0	(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	1088	(/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))

Rules

10 490×	`lower-fma.f32`
10 480×	`lower-fma.f64`
4 414×	`lower-*.f32`
4 388×	`lower-*.f64`
1 990×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	443
0	76	385
1	153	344
2	305	344
3	688	344
4	2335	344
5	5985	329
0	8307	326

Stop Event

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

Calls

Call 1

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

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

localize190.0ms (1.6%)

Memory

-15.3MiB live, 140.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.23040182638991732	(.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th))
accuracy	3.9882812500000004	(-.f64 (.f64 a2 a2) (.f64 a1 a1))
accuracy	48.16829535697745	(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.22332001953688402	(/.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
accuracy	3.8436702979629005	(fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))
accuracy	8.264425045136406	(/.f64 a2 (*.f64 a1 a1))
accuracy	25.33475112162533	(.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1)))
accuracy	0	(cos.f64 th)
accuracy	0.015625	(fma.f64 a1 a1 (*.f64 a2 a2))
accuracy	0.193691259768442	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.717128759768442	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.125	(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.18816376953688405	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.40234375	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
accuracy	19.633872450520993	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0.015625	(fma.f64 a1 a1 (*.f64 a2 a2))
accuracy	0.07421875	(/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
accuracy	0.1015625	(/.f64 #s(literal 1 binary64) (cos.f64 th))
accuracy	0.21322250976844204	(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))

Samples

100.0ms

256×

valid

Compiler

Compiled 428 to 43 computations (90% saved)

Precisions

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

ival-mult: 45.0ms (58.2% of total)

ival-div: 12.0ms (15.5% of total)

ival-cos: 10.0ms (12.9% of total)

ival-add: 6.0ms (7.8% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series103.0ms (0.8%)

Memory

-1.4MiB live, 78.5MiB allocated

Counts

23 → 552

Calls

Call 1

Inputs
#s(alt (/.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (patch (/.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) #<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 a2 a2) (patch (.f64 a2 a2) #<representation binary64>) () ())
#s(alt (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (patch (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.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))) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.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))) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) #<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 (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)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (patch (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #<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 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (patch (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (patch (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (patch (-.f64 (.f64 a2 a2) (.f64 a1 a1)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 th)) (patch (/.f64 #s(literal 1 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 (cos.f64 th) (patch (cos.f64 th) #<representation binary64>) () ())
#s(alt (/.f64 a2 (.f64 a1 a1)) (patch (/.f64 a2 (.f64 a1 a1)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 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 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (patch (/.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 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 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (patch (/.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 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 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (patch (/.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 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 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (patch (/.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (sqrt 2)) (taylor 0 a1) (#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 a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (taylor 0 a1) (#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 a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (taylor 0 a1) (#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 a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (taylor 0 a1) (#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 0 a1) (#s(alt (fma.f64 a1 a1 (.f64 a2 a2)) (patch (fma.f64 a1 a1 (.f64 a2 a2)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a1 2) (pow a2 2)) (taylor 0 a1) (#s(alt (fma.f64 a1 a1 (.f64 a2 a2)) (patch (fma.f64 a1 a1 (.f64 a2 a2)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a1 2) (pow a2 2)) (taylor 0 a1) (#s(alt (fma.f64 a1 a1 (.f64 a2 a2)) (patch (fma.f64 a1 a1 (.f64 a2 a2)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a1 2) (pow a2 2)) (taylor 0 a1) (#s(alt (fma.f64 a1 a1 (.f64 a2 a2)) (patch (fma.f64 a1 a1 (.f64 a2 a2)) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (sqrt 2)) (taylor 0 a1) (#s(alt (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (patch (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.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 (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (patch (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.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 (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (patch (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.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 (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (patch (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.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))) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.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))) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.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))) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.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))) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.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))) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.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))) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.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))) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.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))) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.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 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (patch (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.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 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (patch (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.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 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (patch (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.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 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (patch (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (cos th)) (taylor 0 a1) (#s(alt (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (patch (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th))) (taylor 0 a1) (#s(alt (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (patch (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th))) (taylor 0 a1) (#s(alt (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (patch (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th))) (taylor 0 a1) (#s(alt (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (patch (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.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))) (/.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.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))) (/.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.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))) (/.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.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))) (/.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.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 (/.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.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 (/.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.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 (/.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.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 (/.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (pow a1 2)) (taylor 0 a1) (#s(alt (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (patch (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (pow a1 2) (pow a2 2)) (pow a1 2)) (taylor 0 a1) (#s(alt (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (patch (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (pow a1 2) (pow a2 2)) (pow a1 2)) (taylor 0 a1) (#s(alt (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (patch (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (pow a1 2) (pow a2 2)) (pow a1 2)) (taylor 0 a1) (#s(alt (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (patch (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a2 2) (taylor 0 a1) (#s(alt (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (patch (-.f64 (.f64 a2 a2) (.f64 a1 a1)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow a1 2)) (pow a2 2)) (taylor 0 a1) (#s(alt (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (patch (-.f64 (.f64 a2 a2) (.f64 a1 a1)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow a1 2)) (pow a2 2)) (taylor 0 a1) (#s(alt (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (patch (-.f64 (.f64 a2 a2) (.f64 a1 a1)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow a1 2)) (pow a2 2)) (taylor 0 a1) (#s(alt (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (patch (-.f64 (.f64 a2 a2) (.f64 a1 a1)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a2 2) (cos th)) (sqrt 2)) (taylor 0 a1) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.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 (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a1 2) (- (* -1 (* (pow a1 2) (+ (* -1 (/ (cos th) (* (pow a2 2) (sqrt 2)))) (/ (cos th) (* (pow a2 2) (sqrt 2)))))) (* -1 (/ (cos th) (sqrt 2))))) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (taylor 0 a1) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#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 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 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 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 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 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a2 2) (cos th)) (sqrt 2)) (taylor inf a2) (#s(alt (/.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 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 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 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 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 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 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (patch (/.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (pow a1 2)) (taylor inf a2) (#s(alt (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (patch (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #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 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (patch (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #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 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (patch (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #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 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (patch (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a2 2) (taylor inf a2) (#s(alt (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (patch (-.f64 (.f64 a2 a2) (.f64 a1 a1)) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2))))) (taylor inf a2) (#s(alt (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (patch (-.f64 (.f64 a2 a2) (.f64 a1 a1)) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2))))) (taylor inf a2) (#s(alt (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (patch (-.f64 (.f64 a2 a2) (.f64 a1 a1)) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2))))) (taylor inf a2) (#s(alt (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (patch (-.f64 (.f64 a2 a2) (.f64 a1 a1)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a2 2) (cos th)) (sqrt 2)) (taylor inf a2) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 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 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow a1 4) (cos th)) (sqrt 2))) (/ (* (pow a1 4) (cos th)) (sqrt 2))) (pow a2 4))) (/ (cos th) (sqrt 2))) (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))) (taylor inf a2) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (- (+ (* -1 (/ (* (pow a1 2) (+ (* -1 (/ (* (pow a1 4) (cos th)) (sqrt 2))) (/ (* (pow a1 4) (cos th)) (sqrt 2)))) (pow a2 6))) (/ (cos th) (sqrt 2))) (+ (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))) (+ (* -1 (/ (* (pow a1 4) (cos th)) (* (pow a2 4) (sqrt 2)))) (/ (* (pow a1 4) (cos th)) (* (pow a2 4) (sqrt 2))))))) (taylor inf a2) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (cos th)) (taylor inf a2) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6)))) (taylor inf a2) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6)))) (taylor inf a2) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6)))) (taylor inf a2) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) #<representation binary64>) () ())) ())
#s(alt (pow a2 6) (taylor inf a2) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6)))) (taylor inf a2) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6)))) (taylor inf a2) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6)))) (taylor inf a2) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<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 4) (sqrt 2)) (taylor inf a2) (#s(alt (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 4) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))) (taylor inf a2) (#s(alt (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))))) (taylor inf a2) (#s(alt (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))))) (taylor inf a2) (#s(alt (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a2 2) (cos th)) (sqrt 2)) (taylor -inf a2) (#s(alt (/.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (patch (/.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) #<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 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (patch (/.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) #<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 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (patch (/.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) #<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 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (patch (/.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) #<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>) () ())) ())
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#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 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow a1 4) (cos th)) (sqrt 2))) (/ (* (pow a1 4) (cos th)) (sqrt 2))) (pow a2 4))) (/ (cos th) (sqrt 2))) (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))) (taylor -inf a2) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (- (+ (* -1 (/ (* (pow a1 2) (+ (* -1 (/ (* (pow a1 4) (cos th)) (sqrt 2))) (/ (* (pow a1 4) (cos th)) (sqrt 2)))) (pow a2 6))) (/ (cos th) (sqrt 2))) (+ (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))) (+ (* -1 (/ (* (pow a1 4) (cos th)) (* (pow a2 4) (sqrt 2)))) (/ (* (pow a1 4) (cos th)) (* (pow a2 4) (sqrt 2))))))) (taylor -inf a2) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (cos th)) (taylor -inf a2) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6)))) (taylor -inf a2) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6)))) (taylor -inf a2) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6)))) (taylor -inf a2) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) #<representation binary64>) () ())) ())
#s(alt (pow a2 6) (taylor -inf a2) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6)))) (taylor -inf a2) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6)))) (taylor -inf a2) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6)))) (taylor -inf a2) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<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 4) (sqrt 2)) (taylor -inf a2) (#s(alt (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 4) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))) (taylor -inf a2) (#s(alt (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))))) (taylor -inf a2) (#s(alt (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))))) (taylor -inf a2) (#s(alt (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	th	@	-inf	((/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) (* a2 a2) (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ a2 (sqrt 2)) (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (* (cos th) (* a1 a1))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (+ (* a2 (/ a2 (* a1 a1))) 1) (* (cos th) (* a1 a1))) (sqrt 2)) (+ (* a2 (/ a2 (* a1 a1))) 1) (- (* a2 a2) (* a1 a1)) (/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (* (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))) (sqrt 2))) (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (/ 1 (cos th)) (/ (* a1 a1) (sqrt 2)) (cos th) (/ a2 (* a1 a1)) (* (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))) (sqrt 2)))
6.0ms	a2	@	inf	((/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) (* a2 a2) (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ a2 (sqrt 2)) (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (* (cos th) (* a1 a1))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (+ (* a2 (/ a2 (* a1 a1))) 1) (* (cos th) (* a1 a1))) (sqrt 2)) (+ (* a2 (/ a2 (* a1 a1))) 1) (- (* a2 a2) (* a1 a1)) (/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (* (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))) (sqrt 2))) (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (/ 1 (cos th)) (/ (* a1 a1) (sqrt 2)) (cos th) (/ a2 (* a1 a1)) (* (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))) (sqrt 2)))
6.0ms	th	@	0	((/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) (* a2 a2) (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ a2 (sqrt 2)) (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (* (cos th) (* a1 a1))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (+ (* a2 (/ a2 (* a1 a1))) 1) (* (cos th) (* a1 a1))) (sqrt 2)) (+ (* a2 (/ a2 (* a1 a1))) 1) (- (* a2 a2) (* a1 a1)) (/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (* (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))) (sqrt 2))) (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (/ 1 (cos th)) (/ (* a1 a1) (sqrt 2)) (cos th) (/ a2 (* a1 a1)) (* (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))) (sqrt 2)))
6.0ms	th	@	inf	((/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) (* a2 a2) (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ a2 (sqrt 2)) (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (* (cos th) (* a1 a1))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (+ (* a2 (/ a2 (* a1 a1))) 1) (* (cos th) (* a1 a1))) (sqrt 2)) (+ (* a2 (/ a2 (* a1 a1))) 1) (- (* a2 a2) (* a1 a1)) (/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (* (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))) (sqrt 2))) (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (/ 1 (cos th)) (/ (* a1 a1) (sqrt 2)) (cos th) (/ a2 (* a1 a1)) (* (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))) (sqrt 2)))
6.0ms	a1	@	inf	((/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) (* a2 a2) (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ a2 (sqrt 2)) (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (* (cos th) (* a1 a1))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (+ (* a2 (/ a2 (* a1 a1))) 1) (* (cos th) (* a1 a1))) (sqrt 2)) (+ (* a2 (/ a2 (* a1 a1))) 1) (- (* a2 a2) (* a1 a1)) (/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (* (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))) (sqrt 2))) (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (/ 1 (cos th)) (/ (* a1 a1) (sqrt 2)) (cos th) (/ a2 (* a1 a1)) (* (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))) (sqrt 2)))

simplify314.0ms (2.6%)

Memory

33.4MiB live, 223.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 314×	`lower-fma.f64`
11 314×	`lower-fma.f32`
6 034×	`lower-*.f64`
6 034×	`lower-*.f32`
3 672×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	358	8422
1	1236	7720
2	4745	7466
0	8124	7065

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

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) (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 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)))
(/ (* (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))
(pow a2 2)
(+ (* -1 (pow a1 2)) (pow a2 2))
(+ (* -1 (pow a1 2)) (pow a2 2))
(+ (* -1 (pow a1 2)) (pow a2 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) (- (* -1 (* (pow a1 2) (+ (* -1 (/ (cos th) (* (pow a2 2) (sqrt 2)))) (/ (cos th) (* (pow a2 2) (sqrt 2)))))) (* -1 (/ (cos th) (sqrt 2))))) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (* (pow a1 2) (- (* (pow a1 2) (- (* (pow a1 2) (- (/ (cos th) (* (pow a2 4) (sqrt 2))) (+ (* -1 (/ (cos th) (* (pow a2 4) (sqrt 2)))) (* 2 (/ (cos th) (* (pow a2 4) (sqrt 2))))))) (+ (* -1 (/ (cos th) (* (pow a2 2) (sqrt 2)))) (/ (cos th) (* (pow a2 2) (sqrt 2)))))) (* -1 (/ (cos th) (sqrt 2))))) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(* (pow a2 6) (cos th))
(+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))
(+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))
(+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))
(pow a2 6)
(+ (pow a1 6) (pow a2 6))
(+ (pow a1 6) (pow a2 6))
(+ (pow a1 6) (pow a2 6))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(* (pow a2 4) (sqrt 2))
(+ (* -1 (* (pow a1 2) (* (pow a2 2) (sqrt 2)))) (* (pow a2 4) (sqrt 2)))
(+ (* (pow a1 2) (+ (* -1 (* (pow a2 2) (sqrt 2))) (* (pow a1 2) (sqrt 2)))) (* (pow a2 4) (sqrt 2)))
(+ (* (pow a1 2) (+ (* -1 (* (pow a2 2) (sqrt 2))) (* (pow a1 2) (sqrt 2)))) (* (pow a2 4) (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) (+ 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) (+ (/ 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) (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)))
(* -1 (pow a1 2))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(/ (* (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) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow a2 4) (cos th)) (sqrt 2))) (/ (* (pow a2 4) (cos th)) (sqrt 2))) (pow a1 4))) (/ (cos th) (sqrt 2))) (* -1 (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2))))))
(* (pow a1 2) (- (+ (* -1 (/ (* (pow a2 2) (+ (* -1 (/ (* (pow a2 4) (cos th)) (sqrt 2))) (/ (* (pow a2 4) (cos th)) (sqrt 2)))) (pow a1 6))) (/ (cos th) (sqrt 2))) (+ (* -1 (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))) (+ (* -1 (/ (* (pow a2 4) (cos th)) (* (pow a1 4) (sqrt 2)))) (/ (* (pow a2 4) (cos th)) (* (pow a1 4) (sqrt 2)))))))
(* (pow a1 6) (cos th))
(* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))
(* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))
(* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))
(pow a1 6)
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(* (pow a1 4) (sqrt 2))
(* (pow a1 4) (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(* (pow a1 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4)))))
(* (pow a1 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4)))))
(/ (* (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) (+ 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) (+ (/ 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) (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)))
(* -1 (pow a1 2))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(/ (* (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) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow a2 4) (cos th)) (sqrt 2))) (/ (* (pow a2 4) (cos th)) (sqrt 2))) (pow a1 4))) (/ (cos th) (sqrt 2))) (* -1 (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2))))))
(* (pow a1 2) (- (+ (* -1 (/ (* (pow a2 2) (+ (* -1 (/ (* (pow a2 4) (cos th)) (sqrt 2))) (/ (* (pow a2 4) (cos th)) (sqrt 2)))) (pow a1 6))) (/ (cos th) (sqrt 2))) (+ (* -1 (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))) (+ (* -1 (/ (* (pow a2 4) (cos th)) (* (pow a1 4) (sqrt 2)))) (/ (* (pow a2 4) (cos th)) (* (pow a1 4) (sqrt 2)))))))
(* (pow a1 6) (cos th))
(* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))
(* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))
(* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))
(pow a1 6)
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(* (pow a1 4) (sqrt 2))
(* (pow a1 4) (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(* (pow a1 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4)))))
(* (pow a1 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4)))))
(/ (+ (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) (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))))
(/ 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) (+ 1 (/ (pow a2 2) (pow a1 2))))
(+ (* -1/2 (* (pow a1 2) (* (pow th 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 th 2) (+ (* -1/2 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (* 1/24 (* (pow a1 2) (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2)))))))))
(+ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2)))))) (* 1/24 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 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) (+ 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 6) (pow a2 6)) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))) (+ (/ (pow a1 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4)))) (/ (pow a2 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 6) (pow a2 6)) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))))) (+ (/ (pow a1 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4)))) (/ (pow a2 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 6) (pow a2 6)) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))) (* 1/24 (/ (+ (pow a1 6) (pow a2 6)) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))))))) (+ (/ (pow a1 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4)))) (/ (pow a2 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))))
(+ (pow a1 6) (pow a2 6))
(+ (* -1/2 (* (pow th 2) (+ (pow a1 6) (pow a2 6)))) (+ (pow a1 6) (pow a2 6)))
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 6) (pow a2 6))) (* 1/24 (* (pow th 2) (+ (pow a1 6) (pow a2 6)))))) (+ (pow a1 6) (pow a2 6)))
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 6) (pow a2 6))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (pow a1 6) (pow a2 6)))) (* 1/24 (+ (pow a1 6) (pow a2 6))))))) (+ (pow a1 6) (pow a2 6)))
1
(+ 1 (* 1/2 (pow th 2)))
(+ 1 (* (pow th 2) (+ 1/2 (* 5/24 (pow th 2)))))
(+ 1 (* (pow th 2) (+ 1/2 (* (pow th 2) (+ 5/24 (* 61/720 (pow th 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))
(+ (/ (* (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) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))))
(* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))))
(* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))))
(* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 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) (+ 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))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))
(* (cos th) (+ (pow a1 6) (pow a2 6)))
(* (cos th) (+ (pow a1 6) (pow a2 6)))
(* (cos th) (+ (pow a1 6) (pow a2 6)))
(* (cos th) (+ (pow a1 6) (pow a2 6)))
(/ 1 (cos th))
(/ 1 (cos th))
(/ 1 (cos th))
(/ 1 (cos th))
(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))
(+ (/ (* (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) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))))
(* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))))
(* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))))
(* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 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) (+ 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))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))
(* (cos th) (+ (pow a1 6) (pow a2 6)))
(* (cos th) (+ (pow a1 6) (pow a2 6)))
(* (cos th) (+ (pow a1 6) (pow a2 6)))
(* (cos th) (+ (pow a1 6) (pow a2 6)))
(/ 1 (cos th))
(/ 1 (cos th))
(/ 1 (cos th))
(/ 1 (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 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))
(pow a2 2)
(pow a2 2)
(pow a2 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)))
(/ 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 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)))
(* -1 (pow a1 2))
(- (pow a2 2) (pow a1 2))
(- (pow a2 2) (pow a1 2))
(- (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)) (sqrt 2)))
(+ (* (pow a2 2) (- (* -1 (* (pow a2 2) (+ (* -1 (/ (cos th) (* (pow a1 2) (sqrt 2)))) (/ (cos th) (* (pow a1 2) (sqrt 2)))))) (* -1 (/ (cos th) (sqrt 2))))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))
(+ (* (pow a2 2) (- (* (pow a2 2) (- (* (pow a2 2) (- (/ (cos th) (* (pow a1 4) (sqrt 2))) (+ (* -1 (/ (cos th) (* (pow a1 4) (sqrt 2)))) (* 2 (/ (cos th) (* (pow a1 4) (sqrt 2))))))) (+ (* -1 (/ (cos th) (* (pow a1 2) (sqrt 2)))) (/ (cos th) (* (pow a1 2) (sqrt 2)))))) (* -1 (/ (cos th) (sqrt 2))))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))
(* (pow a1 6) (cos th))
(+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))
(+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))
(+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))
(pow a1 6)
(+ (pow a1 6) (pow a2 6))
(+ (pow a1 6) (pow a2 6))
(+ (pow a1 6) (pow a2 6))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(* (pow a1 4) (sqrt 2))
(+ (* -1 (* (pow a1 2) (* (pow a2 2) (sqrt 2)))) (* (pow a1 4) (sqrt 2)))
(+ (* (pow a1 4) (sqrt 2)) (* (pow a2 2) (+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow a2 2) (sqrt 2)))))
(+ (* (pow a1 4) (sqrt 2)) (* (pow a2 2) (+ (* -1 (* (pow a1 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)))))
(/ (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)
(* (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)
(pow a2 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)))))
(/ 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) (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))))
(pow a2 2)
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1 (* -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) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow a1 4) (cos th)) (sqrt 2))) (/ (* (pow a1 4) (cos th)) (sqrt 2))) (pow a2 4))) (/ (cos th) (sqrt 2))) (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))))
(* (pow a2 2) (- (+ (* -1 (/ (* (pow a1 2) (+ (* -1 (/ (* (pow a1 4) (cos th)) (sqrt 2))) (/ (* (pow a1 4) (cos th)) (sqrt 2)))) (pow a2 6))) (/ (cos th) (sqrt 2))) (+ (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))) (+ (* -1 (/ (* (pow a1 4) (cos th)) (* (pow a2 4) (sqrt 2)))) (/ (* (pow a1 4) (cos th)) (* (pow a2 4) (sqrt 2)))))))
(* (pow a2 6) (cos th))
(* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))
(* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))
(* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))
(pow a2 6)
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(* (pow a2 4) (sqrt 2))
(* (pow a2 4) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4)))))
(* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4)))))
(/ (* (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)))))
(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)
(pow a2 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)))))
(/ 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) (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))))
(pow a2 2)
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1 (* -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) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow a1 4) (cos th)) (sqrt 2))) (/ (* (pow a1 4) (cos th)) (sqrt 2))) (pow a2 4))) (/ (cos th) (sqrt 2))) (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))))
(* (pow a2 2) (- (+ (* -1 (/ (* (pow a1 2) (+ (* -1 (/ (* (pow a1 4) (cos th)) (sqrt 2))) (/ (* (pow a1 4) (cos th)) (sqrt 2)))) (pow a2 6))) (/ (cos th) (sqrt 2))) (+ (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))) (+ (* -1 (/ (* (pow a1 4) (cos th)) (* (pow a2 4) (sqrt 2)))) (/ (* (pow a1 4) (cos th)) (* (pow a2 4) (sqrt 2)))))))
(* (pow a2 6) (cos th))
(* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))
(* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))
(* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))
(pow a2 6)
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(* (pow a2 4) (sqrt 2))
(* (pow a2 4) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4)))))
(* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4)))))

Outputs
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.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 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
(+ (/ (* (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 a2 a2 (.f64 a1 a1)))
(+ (/ (* (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 a2 a2 (.f64 a1 a1)))
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 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 a2 a2 (.f64 a1 a1)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
(pow a2 2)
(*.f64 a2 a2)
(+ (pow a1 2) (pow a2 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+ (pow a1 2) (pow a2 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
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(.f64 (.f64 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64))))
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 a2 (fma.f64 a2 (/.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 a2 (fma.f64 a2 (/.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 a2 (fma.f64 a2 (/.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(pow a2 2)
(*.f64 a2 a2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 a2 a2) (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 a2 a2) (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 a2 a2) (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)))
(pow a2 2)
(*.f64 a2 a2)
(pow a2 2)
(*.f64 a2 a2)
(pow a2 2)
(*.f64 a2 a2)
(pow a2 2)
(*.f64 a2 a2)
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 a2 (fma.f64 a2 (/.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 a2 (fma.f64 a2 (/.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 a2 (fma.f64 a2 (/.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (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 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 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)))
(/ a2 (sqrt 2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (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 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64))))
(* (pow a2 2) (cos th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(.f64 (.f64 a2 a2) (.f64 (cos.f64 th) (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(.f64 (.f64 a2 a2) (.f64 (cos.f64 th) (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(.f64 (.f64 a2 a2) (.f64 (cos.f64 th) (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (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 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (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 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64))))
(/ (pow a2 2) (pow a1 2))
(/.f64 (.f64 a2 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))
(pow a2 2)
(*.f64 a2 a2)
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 a2 a2) (fma.f64 (neg.f64 a1) (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 a2 a2) (fma.f64 (neg.f64 a1) (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 a2 a2) (fma.f64 (neg.f64 a1) (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (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 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64))))
(* (pow a2 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow a1 4) (cos th)) (sqrt 2))) (/ (* (pow a1 4) (cos th)) (sqrt 2))) (pow a2 4))) (/ (cos th) (sqrt 2))) (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))))
(.f64 (.f64 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64))))
(* (pow a2 2) (- (+ (* -1 (/ (* (pow a1 2) (+ (* -1 (/ (* (pow a1 4) (cos th)) (sqrt 2))) (/ (* (pow a1 4) (cos th)) (sqrt 2)))) (pow a2 6))) (/ (cos th) (sqrt 2))) (+ (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))) (+ (* -1 (/ (* (pow a1 4) (cos th)) (* (pow a2 4) (sqrt 2)))) (/ (* (pow a1 4) (cos th)) (* (pow a2 4) (sqrt 2)))))))
(.f64 (.f64 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64))))
(* (pow a2 6) (cos th))
(*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 6 binary64)))
(* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))
(.f64 (pow.f64 a2 #s(literal 6 binary64)) (.f64 (cos.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))))))
(* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))
(.f64 (pow.f64 a2 #s(literal 6 binary64)) (.f64 (cos.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))))))
(* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))
(.f64 (pow.f64 a2 #s(literal 6 binary64)) (.f64 (cos.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))))))
(pow a2 6)
(pow.f64 a2 #s(literal 6 binary64))
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(*.f64 (pow.f64 a2 #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))))
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(*.f64 (pow.f64 a2 #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))))
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(*.f64 (pow.f64 a2 #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 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 4) (sqrt 2))
(.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 4) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) (*.f64 a2 a2))))
(* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4)))))
(.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (fma.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) (*.f64 a2 a2)))))
(* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4)))))
(.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (fma.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) (*.f64 a2 a2)))))

rewrite1.2s (9.9%)

Memory

-19.9MiB live, 1 429.6MiB allocated

Rules

4 648×	`lower-/.f32`
4 630×	`lower-/.f64`
4 284×	`lower-*.f32`
4 258×	`lower-*.f64`
3 348×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	317
0	76	256
1	292	231
2	2202	227
0	8299	227

Stop Event

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

Counts

23 → 1 420

Calls

Call 1

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

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

eval300.0ms (2.5%)

Memory: 50.9MiB live, 501.5MiB allocated
Compiler: Compiled 71 167 to 3 143 computations (95.6% saved)

prune265.0ms (2.2%)

Memory

-28.1MiB live, 541.4MiB allocated

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	2 225	27	2 252
Fresh	12	2	14
Picked	4	1	5
Done	0	0	0
Total	2 241	30	2 271

Accuracy

100.0%

Counts

2 271 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (fma.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 (*.f64 a1 (cos.f64 th))))) #s(literal 2 binary64))
	99.6%	(/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
	56.7%	(/.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (/ 1 (cos th)) (fma.f64 (.f64 th th) (fma.f64 (*.f64 th th) #s(literal 5/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
▶	60.4%	(/.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (/ 1 (cos th)) (fma.f64 th (.f64 th #s(literal 1/2 binary64)) #s(literal 1 binary64))))
▶	98.7%	(/.f64 (/.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
▶	8.9%	(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
	99.6%	(/.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
	99.6%	(/.f64 (neg.f64 (fma.f64 a1 a1 (.f64 a2 a2))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	99.3%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))))
	99.6%	(.f64 (fma.f64 (cos.f64 th) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1)))) #s(literal 1/2 binary64))
	99.6%	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
	61.7%	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(approx (cos th) (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
	69.1%	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
	61.7%	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(approx (/ (cos th) (sqrt 2)) (fma.f64 #s(literal -1/2 binary64) (*.f64 th (/.f64 th (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))
	98.6%	(.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
	69.2%	#s(approx (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
	99.6%	#s(approx (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
✓	69.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
	69.0%	#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)))))
	69.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 2 binary64)))
	58.9%	#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)))))
	69.1%	#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))))
	57.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (.f64 (cos.f64 th) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
	98.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
	37.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (* (cos th) (* a1 a1))) (.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
	52.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1)))
	68.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
▶	13.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
	43.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))

Compiler

Compiled 1 164 to 687 computations (41% saved)

simplify231.0ms (1.9%)

Memory

-9.1MiB live, 268.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 a2 a2)
cost-diff	0	#s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2))
cost-diff	0	(/.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	1088	(/.f64 (/.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
cost-diff	0	(fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))
cost-diff	0	(.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64)))
cost-diff	0	(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	128	(-.f64 (.f64 a2 a2) (.f64 a1 a1))
cost-diff	0	(*.f64 a2 a2)
cost-diff	0	(fma.f64 a1 a1 (*.f64 a2 a2))
cost-diff	0	(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	384	(/.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (/ 1 (cos th)) (fma.f64 th (.f64 th #s(literal 1/2 binary64)) #s(literal 1 binary64))))
cost-diff	0	(*.f64 a1 a1)
cost-diff	0	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	0	(*.f64 a2 a2)
cost-diff	0	(.f64 (.f64 a2 a2) (cos.f64 th))
cost-diff	384	(/.f64 (fma.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 (*.f64 a1 (cos.f64 th))))) #s(literal 2 binary64))
cost-diff	7680	(fma.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 (*.f64 a1 (cos.f64 th)))))

Rules

9 912×	`lower-fma.f32`
9 902×	`lower-fma.f64`
4 204×	`lower-*.f32`
4 174×	`lower-*.f64`
2 092×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	476
0	94	430
1	178	389
2	327	381
3	614	381
4	1750	381
5	4580	381
6	7631	381
0	8259	376

Stop Event

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

Calls

Call 1

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

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

localize148.0ms (1.2%)

Memory

14.6MiB live, 216.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(/.f64 (/.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
accuracy	0.1015625	(/.f64 #s(literal 1 binary64) (cos.f64 th))
accuracy	0.21322250976844204	(/.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.6141671549832565	#s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2))
accuracy	0.23040182638991732	(.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64)))
accuracy	3.9882812500000004	(-.f64 (.f64 a2 a2) (.f64 a1 a1))
accuracy	28.105259479794228	#s(approx (cos th) #s(literal 1 binary64))
accuracy	48.16829535697745	(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.015625	(fma.f64 a1 a1 (*.f64 a2 a2))
accuracy	0.07421875	(/.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (/ 1 (cos th)) (fma.f64 th (.f64 th #s(literal 1/2 binary64)) #s(literal 1 binary64))))
accuracy	0.21322250976844204	(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	31.226621587343132	#s(approx (/ 1 (cos th)) (fma.f64 th (*.f64 th #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.18816376953688405	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
accuracy	19.633872450520993	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
accuracy	53.49544886827771	#s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.078125	(.f64 a1 (.f64 a1 (cos.f64 th)))
accuracy	0.09375	(*.f64 a1 (cos.f64 th))
accuracy	0.217128759768442	(fma.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 (*.f64 a1 (cos.f64 th)))))
accuracy	0.234375	(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 (*.f64 a1 (cos.f64 th))))

Samples

85.0ms

256×

valid

Compiler

Compiled 433 to 47 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 32.0ms (54.1% of total)

ival-div: 11.0ms (18.6% of total)

ival-add: 7.0ms (11.8% of total)

ival-cos: 6.0ms (10.1% of total)

ival-sqrt: 2.0ms (3.4% of total)

ival-sub: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series85.0ms (0.7%)

Memory

1.5MiB live, 117.0MiB allocated

Counts

25 → 588

Calls

Call 1

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

Outputs
#s(alt (* (pow a2 2) (* (cos th) (sqrt 2))) (taylor 0 a1) (#s(alt (fma.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 (.f64 a1 (cos.f64 th))))) (patch (fma.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 (.f64 a1 (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 (fma.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 (.f64 a1 (cos.f64 th))))) (patch (fma.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 (.f64 a1 (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 (fma.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 (.f64 a1 (cos.f64 th))))) (patch (fma.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 (.f64 a1 (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 (fma.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 (.f64 a1 (cos.f64 th))))) (patch (fma.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 (.f64 a1 (cos.f64 th))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1)) (taylor inf a1) (#s(alt (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (patch (-.f64 (.f64 a2 a2) (.f64 a1 a1)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a1 2) (cos th)) (sqrt 2)) (taylor inf a1) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow a1 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow a2 4) (cos th)) (sqrt 2))) (/ (* (pow a2 4) (cos th)) (sqrt 2))) (pow a1 4))) (/ (cos th) (sqrt 2))) (* -1 (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))) (taylor inf a1) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 2) (- (+ (* -1 (/ (* (pow a2 2) (+ (* -1 (/ (* (pow a2 4) (cos th)) (sqrt 2))) (/ (* (pow a2 4) (cos th)) (sqrt 2)))) (pow a1 6))) (/ (cos th) (sqrt 2))) (+ (* -1 (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))) (+ (* -1 (/ (* (pow a2 4) (cos th)) (* (pow a1 4) (sqrt 2)))) (/ (* (pow a2 4) (cos th)) (* (pow a1 4) (sqrt 2))))))) (taylor inf a1) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 6) (cos th)) (taylor inf a1) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6)))) (taylor inf a1) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6)))) (taylor inf a1) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6)))) (taylor inf a1) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow a1 6) (taylor inf a1) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6)))) (taylor inf a1) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6)))) (taylor inf a1) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6)))) (taylor inf a1) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a1 2) (cos th)) (sqrt 2)) (taylor inf a1) (#s(alt (/.f64 (/.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (patch (/.f64 (/.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) #<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 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (patch (/.f64 (/.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) #<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 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (patch (/.f64 (/.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) #<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 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (patch (/.f64 (/.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) #<representation binary64>) () ())) ())
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#s(alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))) (taylor inf a1) (#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 a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))) (taylor inf a1) (#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 a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))) (taylor inf a1) (#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>) () ())) ())
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#s(alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (taylor inf a1) (#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 a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (taylor inf a1) (#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 a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (taylor inf a1) (#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 a1 2) (* (cos th) (sqrt 2))) (taylor inf a1) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 (.f64 a1 (cos.f64 th)))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 (.f64 a1 (cos.f64 th)))) #<representation binary64>) () ())) ())
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#s(alt (* a1 (cos th)) (taylor inf a1) (#s(alt (.f64 a1 (cos.f64 th)) (patch (.f64 a1 (cos.f64 th)) #<representation binary64>) () ())) ())
#s(alt (* a1 (cos th)) (taylor inf a1) (#s(alt (.f64 a1 (cos.f64 th)) (patch (.f64 a1 (cos.f64 th)) #<representation binary64>) () ())) ())
#s(alt (* a1 (cos th)) (taylor inf a1) (#s(alt (.f64 a1 (cos.f64 th)) (patch (.f64 a1 (cos.f64 th)) #<representation binary64>) () ())) ())
#s(alt (* a1 (cos th)) (taylor inf a1) (#s(alt (.f64 a1 (cos.f64 th)) (patch (.f64 a1 (cos.f64 th)) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 2) (cos th)) (taylor inf a1) (#s(alt (.f64 a1 (.f64 a1 (cos.f64 th))) (patch (.f64 a1 (.f64 a1 (cos.f64 th))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 2) (cos th)) (taylor inf a1) (#s(alt (.f64 a1 (.f64 a1 (cos.f64 th))) (patch (.f64 a1 (.f64 a1 (cos.f64 th))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 2) (cos th)) (taylor inf a1) (#s(alt (.f64 a1 (.f64 a1 (cos.f64 th))) (patch (.f64 a1 (.f64 a1 (cos.f64 th))) #<representation binary64>) () ())) ())
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#s(alt (+ (pow a1 6) (pow a2 6)) (taylor 0 a2) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (+ (pow a1 6) (pow a2 6)) (taylor 0 a2) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
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#s(alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (taylor 0 a2) (#s(alt (/.f64 (/.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (patch (/.f64 (/.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) #<representation binary64>) () ())) ())
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#s(alt (* (pow a2 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow a1 4) (cos th)) (sqrt 2))) (/ (* (pow a1 4) (cos th)) (sqrt 2))) (pow a2 4))) (/ (cos th) (sqrt 2))) (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))) (taylor inf a2) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6)))) (taylor inf a2) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6)))) (taylor inf a2) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6)))) (taylor inf a2) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow a2 6) (taylor inf a2) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6)))) (taylor inf a2) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6)))) (taylor inf a2) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
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#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 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow a1 4) (cos th)) (sqrt 2))) (/ (* (pow a1 4) (cos th)) (sqrt 2))) (pow a2 4))) (/ (cos th) (sqrt 2))) (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))) (taylor -inf a2) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (- (+ (* -1 (/ (* (pow a1 2) (+ (* -1 (/ (* (pow a1 4) (cos th)) (sqrt 2))) (/ (* (pow a1 4) (cos th)) (sqrt 2)))) (pow a2 6))) (/ (cos th) (sqrt 2))) (+ (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))) (+ (* -1 (/ (* (pow a1 4) (cos th)) (* (pow a2 4) (sqrt 2)))) (/ (* (pow a1 4) (cos th)) (* (pow a2 4) (sqrt 2))))))) (taylor -inf a2) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (cos th)) (taylor -inf a2) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6)))) (taylor -inf a2) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6)))) (taylor -inf a2) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6)))) (taylor -inf a2) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow a2 6) (taylor -inf a2) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6)))) (taylor -inf a2) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6)))) (taylor -inf a2) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6)))) (taylor -inf a2) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a2 2) (cos th)) (sqrt 2)) (taylor -inf a2) (#s(alt (/.f64 (/.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (patch (/.f64 (/.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) #<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 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (patch (/.f64 (/.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) #<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 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (patch (/.f64 (/.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) #<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 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (patch (/.f64 (/.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th))) #<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) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (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) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (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) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (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) (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>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
21.0ms	a1	@	-inf	((+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (* (* a2 a2) (cos th)) (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/ (* a1 a1) (sqrt 2)) (* a1 a1) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) (- (* a2 a2) (* a1 a1)) (/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (* (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))) (sqrt 2))) (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (* a1 (* a1 (cos th)))) (* a1 (cos th)) (* a1 (* a1 (cos th))) (sqrt 2) (/ 1 (cos th)) (cos th) (/ 1 (cos th)))
10.0ms	a1	@	0	((+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (* (* a2 a2) (cos th)) (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/ (* a1 a1) (sqrt 2)) (* a1 a1) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) (- (* a2 a2) (* a1 a1)) (/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (* (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))) (sqrt 2))) (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (* a1 (* a1 (cos th)))) (* a1 (cos th)) (* a1 (* a1 (cos th))) (sqrt 2) (/ 1 (cos th)) (cos th) (/ 1 (cos th)))
5.0ms	a1	@	inf	((+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (* (* a2 a2) (cos th)) (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/ (* a1 a1) (sqrt 2)) (* a1 a1) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) (- (* a2 a2) (* a1 a1)) (/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (* (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))) (sqrt 2))) (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (* a1 (* a1 (cos th)))) (* a1 (cos th)) (* a1 (* a1 (cos th))) (sqrt 2) (/ 1 (cos th)) (cos th) (/ 1 (cos th)))
4.0ms	th	@	inf	((+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (* (* a2 a2) (cos th)) (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/ (* a1 a1) (sqrt 2)) (* a1 a1) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) (- (* a2 a2) (* a1 a1)) (/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (* (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))) (sqrt 2))) (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (* a1 (* a1 (cos th)))) (* a1 (cos th)) (* a1 (* a1 (cos th))) (sqrt 2) (/ 1 (cos th)) (cos th) (/ 1 (cos th)))
4.0ms	a2	@	-inf	((+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (* (* a2 a2) (cos th)) (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/ (* a1 a1) (sqrt 2)) (* a1 a1) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) (- (* a2 a2) (* a1 a1)) (/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (* (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))) (sqrt 2))) (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (* a1 (* a1 (cos th)))) (* a1 (cos th)) (* a1 (* a1 (cos th))) (sqrt 2) (/ 1 (cos th)) (cos th) (/ 1 (cos th)))

simplify306.0ms (2.5%)

Memory

-5.9MiB live, 436.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 334×	`lower-fma.f64`
13 334×	`lower-fma.f32`
6 806×	`lower-*.f64`
6 806×	`lower-*.f32`
2 818×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	390	8120
1	1361	7702
2	5339	7402
0	8638	7008

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 587

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))))
(* 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))
(+ (/ (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))
(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 a2 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(pow a2 2)
(+ (* -1 (pow a1 2)) (pow a2 2))
(+ (* -1 (pow a1 2)) (pow a2 2))
(+ (* -1 (pow a1 2)) (pow a2 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) (- (* -1 (* (pow a1 2) (+ (* -1 (/ (cos th) (* (pow a2 2) (sqrt 2)))) (/ (cos th) (* (pow a2 2) (sqrt 2)))))) (* -1 (/ (cos th) (sqrt 2))))) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (* (pow a1 2) (- (* (pow a1 2) (- (* (pow a1 2) (- (/ (cos th) (* (pow a2 4) (sqrt 2))) (+ (* -1 (/ (cos th) (* (pow a2 4) (sqrt 2)))) (* 2 (/ (cos th) (* (pow a2 4) (sqrt 2))))))) (+ (* -1 (/ (cos th) (* (pow a2 2) (sqrt 2)))) (/ (cos th) (* (pow a2 2) (sqrt 2)))))) (* -1 (/ (cos th) (sqrt 2))))) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(* (pow a2 6) (cos th))
(+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))
(+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))
(+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))
(pow a2 6)
(+ (pow a1 6) (pow a2 6))
(+ (pow a1 6) (pow a2 6))
(+ (pow a1 6) (pow a2 6))
(/ (* (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 a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* a1 (cos th))
(* a1 (cos th))
(* a1 (cos th))
(* a1 (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 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))))
(* (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)))))
(/ (* (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))
(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)
(* (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))))
(* -1 (pow a1 2))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(/ (* (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) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow a2 4) (cos th)) (sqrt 2))) (/ (* (pow a2 4) (cos th)) (sqrt 2))) (pow a1 4))) (/ (cos th) (sqrt 2))) (* -1 (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2))))))
(* (pow a1 2) (- (+ (* -1 (/ (* (pow a2 2) (+ (* -1 (/ (* (pow a2 4) (cos th)) (sqrt 2))) (/ (* (pow a2 4) (cos th)) (sqrt 2)))) (pow a1 6))) (/ (cos th) (sqrt 2))) (+ (* -1 (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))) (+ (* -1 (/ (* (pow a2 4) (cos th)) (* (pow a1 4) (sqrt 2)))) (/ (* (pow a2 4) (cos th)) (* (pow a1 4) (sqrt 2)))))))
(* (pow a1 6) (cos th))
(* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))
(* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))
(* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))
(pow a1 6)
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(/ (* (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) (+ 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 a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* a1 (cos th))
(* a1 (cos th))
(* a1 (cos th))
(* a1 (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 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))))
(* (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)))))
(/ (* (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))
(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)
(* (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))))
(* -1 (pow a1 2))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(/ (* (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) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow a2 4) (cos th)) (sqrt 2))) (/ (* (pow a2 4) (cos th)) (sqrt 2))) (pow a1 4))) (/ (cos th) (sqrt 2))) (* -1 (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2))))))
(* (pow a1 2) (- (+ (* -1 (/ (* (pow a2 2) (+ (* -1 (/ (* (pow a2 4) (cos th)) (sqrt 2))) (/ (* (pow a2 4) (cos th)) (sqrt 2)))) (pow a1 6))) (/ (cos th) (sqrt 2))) (+ (* -1 (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))) (+ (* -1 (/ (* (pow a2 4) (cos th)) (* (pow a1 4) (sqrt 2)))) (/ (* (pow a2 4) (cos th)) (* (pow a1 4) (sqrt 2)))))))
(* (pow a1 6) (cos th))
(* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))
(* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))
(* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))
(pow a1 6)
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(/ (* (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) (+ 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 a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* a1 (cos th))
(* a1 (cos th))
(* a1 (cos th))
(* a1 (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(+ (* (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))))))))))
(pow a2 2)
(+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2))
(+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* 1/24 (* (pow a2 2) (pow th 2))))) (pow a2 2))
(+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))) (pow a2 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 6) (pow a2 6)) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))) (+ (/ (pow a1 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4)))) (/ (pow a2 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 6) (pow a2 6)) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))))) (+ (/ (pow a1 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4)))) (/ (pow a2 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 6) (pow a2 6)) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))) (* 1/24 (/ (+ (pow a1 6) (pow a2 6)) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))))))) (+ (/ (pow a1 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4)))) (/ (pow a2 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))))
(+ (pow a1 6) (pow a2 6))
(+ (* -1/2 (* (pow th 2) (+ (pow a1 6) (pow a2 6)))) (+ (pow a1 6) (pow a2 6)))
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 6) (pow a2 6))) (* 1/24 (* (pow th 2) (+ (pow a1 6) (pow a2 6)))))) (+ (pow a1 6) (pow a2 6)))
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 6) (pow a2 6))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (pow a1 6) (pow a2 6)))) (* 1/24 (+ (pow a1 6) (pow a2 6))))))) (+ (pow a1 6) (pow a2 6)))
(/ (+ (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) (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))))))))
a1
(+ a1 (* -1/2 (* a1 (pow th 2))))
(+ a1 (* (pow th 2) (+ (* -1/2 a1) (* 1/24 (* a1 (pow th 2))))))
(+ a1 (* (pow th 2) (+ (* -1/2 a1) (* (pow th 2) (+ (* -1/720 (* a1 (pow th 2))) (* 1/24 a1))))))
(pow a1 2)
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1
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1
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1
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(pow a1 2)
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(+ (pow a1 2) (pow a2 2))
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(/ (pow a2 2) (sqrt 2))
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(* (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)))))
(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))))

Outputs
(* (pow a2 2) (* (cos th) (sqrt 2)))
(.f64 (.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 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (.f64 a2 a2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (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 a2 a2 (.f64 a1 a1)))
(+ (/ (* (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 a2 a2 (.f64 a1 a1)))
(+ (/ (* (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 a2 a2 (.f64 a1 a1)))
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 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 a2 a2 (.f64 a1 a1)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(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 a2 (.f64 a2 (cos.f64 th))) (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 a2 a2 (.f64 a1 a1)))
(+ (/ (* (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 a2 a2 (.f64 a1 a1)))
(+ (/ (* (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 a2 a2 (.f64 a1 a1)))
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 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 a2 a2 (.f64 a1 a1)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
(pow a2 2)
(*.f64 a2 a2)
(+ (pow a1 2) (pow a2 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+ (pow a1 2) (pow a2 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+ (pow a1 2) (pow a2 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(pow a2 2)
(*.f64 a2 a2)
(+ (* -1 (pow a1 2)) (pow a2 2))
(*.f64 (+.f64 a2 a1) (-.f64 a2 a1))
(+ (* -1 (pow a1 2)) (pow a2 2))
(*.f64 (+.f64 a2 a1) (-.f64 a2 a1))
(+ (* -1 (pow a1 2)) (pow a2 2))
(*.f64 (+.f64 a2 a1) (-.f64 a2 a1))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (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 a2 a2 (.f64 a1 a1)))
(+ (* (pow a1 2) (- (* -1 (* (pow a1 2) (+ (* -1 (/ (cos th) (* (pow a2 2) (sqrt 2)))) (/ (cos th) (* (pow a2 2) (sqrt 2)))))) (* -1 (/ (cos th) (sqrt 2))))) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
(+ (* (pow a1 2) (- (* (pow a1 2) (- (* (pow a1 2) (- (/ (cos th) (* (pow a2 4) (sqrt 2))) (+ (* -1 (/ (cos th) (* (pow a2 4) (sqrt 2)))) (* 2 (/ (cos th) (* (pow a2 4) (sqrt 2))))))) (+ (* -1 (/ (cos th) (* (pow a2 2) (sqrt 2)))) (/ (cos th) (* (pow a2 2) (sqrt 2)))))) (* -1 (/ (cos th) (sqrt 2))))) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
(* (pow a2 6) (cos th))
(*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 6 binary64)))
(+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))))
(+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))))
(+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))))
(pow a2 6)
(pow.f64 a2 #s(literal 6 binary64))
(+ (pow a1 6) (pow a2 6))
(+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))
(+ (pow a1 6) (pow a2 6))
(+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))
(+ (pow a1 6) (pow a2 6))
(+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (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 a2 a2 (.f64 a1 a1)))
(+ (/ (* (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 a2 a2 (.f64 a1 a1)))
(+ (/ (* (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 a2 a2 (.f64 a1 a1)))
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 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 a2 a2 (.f64 a1 a1)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
(pow a2 2)
(*.f64 a2 a2)
(+ (pow a1 2) (pow a2 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+ (pow a1 2) (pow a2 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+ (pow a1 2) (pow a2 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(* a1 (cos th))
(*.f64 (cos.f64 th) a1)
(* a1 (cos th))
(*.f64 (cos.f64 th) a1)
(* a1 (cos th))
(*.f64 (cos.f64 th) a1)
(* a1 (cos th))
(*.f64 (cos.f64 th) a1)
(* (pow a1 2) (cos th))
(.f64 (cos.f64 th) (.f64 a1 a1))
(* (pow a1 2) (cos th))
(.f64 (cos.f64 th) (.f64 a1 a1))
(* (pow a1 2) (cos th))
(.f64 (cos.f64 th) (.f64 a1 a1))
(* (pow a1 2) (cos th))
(.f64 (cos.f64 th) (.f64 a1 a1))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(.f64 (.f64 a1 a1) (fma.f64 (.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)))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(.f64 (.f64 a1 a1) (fma.f64 (.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)))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(.f64 (.f64 a1 a1) (fma.f64 (.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)))))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(.f64 (.f64 (.f64 a1 a1) #s(literal 1/2 binary64)) (fma.f64 (.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)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(.f64 (.f64 (.f64 a1 a1) #s(literal 1/2 binary64)) (fma.f64 (.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)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(.f64 (.f64 (.f64 a1 a1) #s(literal 1/2 binary64)) (fma.f64 (.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)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(.f64 (cos.f64 th) (/.f64 (.f64 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 (.f64 a1 a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (.f64 a1 a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (.f64 a1 a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64))))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(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) (cos th)) (sqrt 2))
(.f64 (cos.f64 th) (/.f64 (.f64 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 (.f64 a1 a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (.f64 a1 a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (.f64 a1 a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64))))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 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 a1 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))
(* -1 (pow a1 2))
(neg.f64 (*.f64 a1 a1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal -1 binary64)))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal -1 binary64)))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal -1 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(.f64 (cos.f64 th) (/.f64 (.f64 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 (.f64 a1 a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64))))
(* (pow a1 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow a2 4) (cos th)) (sqrt 2))) (/ (* (pow a2 4) (cos th)) (sqrt 2))) (pow a1 4))) (/ (cos th) (sqrt 2))) (* -1 (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2))))))
(.f64 (.f64 a1 a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64))))
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(* (pow a1 2) (cos th))
(.f64 (cos.f64 th) (.f64 a1 a1))
(* (pow a1 2) (cos th))
(.f64 (cos.f64 th) (.f64 a1 a1))
(* (pow a1 2) (cos th))
(.f64 (cos.f64 th) (.f64 a1 a1))
(+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))
(+ (* (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)))))))
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(* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))
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(pow a2 2)
(*.f64 a2 a2)
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(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
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(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
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(* (pow a1 2) (sqrt 2))
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a1
(+ a1 (* -1/2 (* a1 (pow th 2))))
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(pow a1 2)
(*.f64 a1 a1)
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1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow th 2)))
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(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 a2 (fma.f64 a2 (/.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 a2 (fma.f64 a2 (/.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 a2 (fma.f64 a2 (/.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(pow a2 2)
(*.f64 a2 a2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 a2 a2) (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 a2 a2) (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 a2 a2) (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(.f64 (.f64 a2 a2) (fma.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a1 a1) (/.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(.f64 (.f64 a2 a2) (fma.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a1 a1) (/.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(.f64 (.f64 a2 a2) (fma.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a1 a1) (/.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (.f64 a2 a2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(.f64 (.f64 (.f64 a2 a2) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a1 a1) (/.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.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 (.f64 a2 a2) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a1 a1) (/.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.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 (.f64 a2 a2) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a1 a1) (/.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))))
(* (pow a2 2) (cos th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(* (pow a2 2) (cos th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(* (pow a2 2) (cos th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(* (pow a2 2) (cos th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(pow a2 2)
(*.f64 a2 a2)
(pow a2 2)
(*.f64 a2 a2)
(pow a2 2)
(*.f64 a2 a2)
(pow a2 2)
(*.f64 a2 a2)
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (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 a2 (.f64 a2 (cos.f64 th))) (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 a2 (.f64 a2 (cos.f64 th))) (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 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 a2 (fma.f64 a2 (/.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 a2 (fma.f64 a2 (/.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 a2 (fma.f64 a2 (/.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (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 a2 (.f64 a2 (cos.f64 th))) (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 a2 (.f64 a2 (cos.f64 th))) (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 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 a2 (fma.f64 a2 (/.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 a2 (fma.f64 a2 (/.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 a2 (fma.f64 a2 (/.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(pow a2 2)
(*.f64 a2 a2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 a2 a2) (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 a2 a2) (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 a2 a2) (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)))
(pow a2 2)
(*.f64 a2 a2)
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 a2 a2) (fma.f64 (neg.f64 a1) (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 a2 a2) (fma.f64 (neg.f64 a1) (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 a2 a2) (fma.f64 (neg.f64 a1) (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (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 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow a1 4) (cos th)) (sqrt 2))) (/ (* (pow a1 4) (cos th)) (sqrt 2))) (pow a2 4))) (/ (cos th) (sqrt 2))) (* -1 (/ (* (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 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (- (+ (* -1 (/ (* (pow a1 2) (+ (* -1 (/ (* (pow a1 4) (cos th)) (sqrt 2))) (/ (* (pow a1 4) (cos th)) (sqrt 2)))) (pow a2 6))) (/ (cos th) (sqrt 2))) (+ (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))) (+ (* -1 (/ (* (pow a1 4) (cos th)) (* (pow a2 4) (sqrt 2)))) (/ (* (pow a1 4) (cos th)) (* (pow a2 4) (sqrt 2)))))))
(.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 6) (cos th))
(*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 6 binary64)))
(* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))
(*.f64 (pow.f64 a2 #s(literal 6 binary64)) (fma.f64 (cos.f64 th) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (cos.f64 th)))
(* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))
(*.f64 (pow.f64 a2 #s(literal 6 binary64)) (fma.f64 (cos.f64 th) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (cos.f64 th)))
(* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))
(*.f64 (pow.f64 a2 #s(literal 6 binary64)) (fma.f64 (cos.f64 th) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (cos.f64 th)))
(pow a2 6)
(pow.f64 a2 #s(literal 6 binary64))
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(*.f64 (pow.f64 a2 #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))))
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(*.f64 (pow.f64 a2 #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))))
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(*.f64 (pow.f64 a2 #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (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 a2 (.f64 a2 (cos.f64 th))) (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 a2 (.f64 a2 (cos.f64 th))) (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 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 a2 (fma.f64 a2 (/.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 a2 (fma.f64 a2 (/.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 a2 (fma.f64 a2 (/.f64 (.f64 a1 a1) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(pow a2 2)
(*.f64 a2 a2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 a2 a2) (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 a2 a2) (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 a2 a2) (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)))

rewrite571.0ms (4.7%)

Memory

-10.6MiB live, 916.0MiB allocated

Rules

4 502×	`lower-*.f32`
4 472×	`lower-*.f64`
4 466×	`lower-/.f32`
4 450×	`lower-/.f64`
3 832×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	338
0	94	308
1	340	260
2	2441	254
0	8489	251

Stop Event

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

Counts

25 → 677

Calls

Call 1

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

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

eval233.0ms (1.9%)

Memory: 34.6MiB live, 406.9MiB allocated
Compiler: Compiled 45 898 to 2 435 computations (94.7% saved)

prune189.0ms (1.6%)

Memory

-11.6MiB live, 494.6MiB allocated

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	1 461	18	1 479
Fresh	15	9	24
Picked	4	1	5
Done	0	1	1
Total	1 480	29	1 509

Accuracy

100.0%

Counts

1 509 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.3%	(/.f64 (fma.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( a1 (* a1 (cos th))) (*.f64 a1 a1)))) #s(literal 2 binary64))
	12.2%	(/.f64 (/.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (/ 1 (cos th)) (fma.f64 th (.f64 th #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	8.6%	(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))))
▶	0.9%	(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))))
	98.7%	(/.f64 (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
	69.2%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(approx (cos th) #s(literal 1 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))))
	69.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
	99.6%	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
	69.1%	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
	61.7%	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(approx (cos th) (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
	61.7%	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(approx (/ (cos th) (sqrt 2)) (fma.f64 #s(literal -1/2 binary64) (*.f64 th (/.f64 th (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))
	98.7%	(.f64 (/.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
	98.6%	(.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
	98.7%	#s(approx (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
▶	61.7%	#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
	98.7%	#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 a2 a2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
	69.1%	#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1)))))
▶	99.6%	#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))))
✓	69.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
	69.0%	#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)))))
	58.9%	#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)))))
	69.1%	#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))))
	37.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (* (cos th) (* a1 a1))) (.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
	68.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
✓	13.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
	13.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
▶	13.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
	13.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))))
▶	43.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))

Compiler

Compiled 1 093 to 632 computations (42.2% saved)

simplify285.0ms (2.4%)

Memory

-12.1MiB live, 298.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 a1 a1)
cost-diff	0	(fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))
cost-diff	0	(.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64)))
cost-diff	0	(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
cost-diff	704	(.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	1600	(fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))
cost-diff	0	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
cost-diff	320	(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
cost-diff	0	#s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
cost-diff	0	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
cost-diff	0	(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))))
cost-diff	0	(cos.f64 th)
cost-diff	0	(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))
cost-diff	0	#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))))

Rules

11 120×	`lower-fma.f32`
11 110×	`lower-fma.f64`
5 656×	`lower-*.f32`
5 616×	`lower-*.f64`
2 578×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	645
0	107	587
1	234	543
2	559	535
3	1546	525
4	2935	512
5	5186	491
6	6800	491
0	8219	484

Stop Event

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

Calls

Call 1

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

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

localize194.0ms (1.6%)

Memory

-0.8MiB live, 286.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.23040182638991732	(.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64)))
accuracy	28.105259479794228	#s(approx (cos th) #s(literal 1 binary64))
accuracy	48.16829535697745	(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))))
accuracy	59.51138833762486	#s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1)))
accuracy	6.391804800016497	(.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
accuracy	7.822058692315259	(fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
accuracy	15.254915460665032	(/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
accuracy	19.633872450520993	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.213222509768442	(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))
accuracy	2.9007090013482375	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
accuracy	24.835897611050655	#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
accuracy	0.125	(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
accuracy	0.4453125	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
accuracy	19.633872450520993	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
accuracy	53.49544886827771	#s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
accuracy	0	#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))))
accuracy	0.00390625	(.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))
accuracy	0.0625	(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))
accuracy	0.217128759768442	(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))))

Samples

102.0ms

256×

valid

Compiler

Compiled 519 to 59 computations (88.6% saved)

Precisions

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

ival-mult: 40.0ms (55.9% of total)

ival-div: 12.0ms (16.8% of total)

ival-add: 8.0ms (11.2% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

series92.0ms (0.8%)

Memory

25.6MiB live, 142.8MiB allocated

Counts

25 → 600

Calls

Call 1

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

Outputs
#s(alt (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))) (taylor 0 a1) (#s(alt #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) (patch #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) #<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 #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) (patch #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) #<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 #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) (patch #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) #<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 #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) (patch #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))) (taylor 0 a1) (#s(alt (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) (patch (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) #<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 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) (patch (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) #<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 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) (patch (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) #<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 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) (patch (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow a2 2) (sqrt 2))) (taylor 0 a1) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2)))) (taylor 0 a1) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2)))) (taylor 0 a1) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2)))) (taylor 0 a1) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) #<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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) #<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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) #<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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (sqrt 2)) (taylor 0 a1) (#s(alt #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (patch #s(approx (+ ( a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (taylor 0 a1) (#s(alt #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (patch #s(approx (+ ( a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (taylor 0 a1) (#s(alt #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (patch #s(approx (+ ( a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (taylor 0 a1) (#s(alt #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (patch #s(approx (+ ( a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #<representation binary64>) () ())) ())
#s(alt (/ (pow a1 2) (sqrt 2)) (taylor 0 a1) (#s(alt (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (patch (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #<representation binary64>) () ())) ())
#s(alt (/ (pow a1 2) (sqrt 2)) (taylor 0 a1) (#s(alt (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (patch (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #<representation binary64>) () ())) ())
#s(alt (/ (pow a1 2) (sqrt 2)) (taylor 0 a1) (#s(alt (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (patch (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #<representation binary64>) () ())) ())
#s(alt (/ (pow a1 2) (sqrt 2)) (taylor 0 a1) (#s(alt (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (patch (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #<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 #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch #s(approx (/ (+ ( (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 th th)) #s(literal -1/2 binary64) #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 #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch #s(approx (/ (+ ( (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 th th)) #s(literal -1/2 binary64) #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 #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch #s(approx (/ (+ ( (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 th th)) #s(literal -1/2 binary64) #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 #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch #s(approx (/ (+ ( (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))) (taylor 0 a1) (#s(alt (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (patch (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a1 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))) (* (pow a2 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2)))))) (taylor 0 a1) (#s(alt (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (patch (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a1 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))) (* (pow a2 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2)))))) (taylor 0 a1) (#s(alt (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (patch (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a1 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))) (* (pow a2 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2)))))) (taylor 0 a1) (#s(alt (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (patch (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (sqrt 2)) (taylor 0 a1) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))) (taylor 0 a1) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))) (taylor 0 a1) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))) (taylor 0 a1) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (* a1 (sqrt 2))) (taylor 0 a1) (#s(alt (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (patch (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) a1) (taylor 0 a1) (#s(alt (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (patch (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) a1) (taylor 0 a1) (#s(alt (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (patch (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) a1) (taylor 0 a1) (#s(alt (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (patch (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (/ (pow a1 2) (sqrt 2)) (taylor inf a1) (#s(alt (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (patch (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))) (taylor inf a1) (#s(alt (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (patch (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))) (taylor inf a1) (#s(alt (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (patch (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))) (taylor inf a1) (#s(alt (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (patch (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a1 2) (cos th)) (sqrt 2)) (taylor inf a1) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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)) (* (pow a1 2) (sqrt 2))))) (taylor inf a1) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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)) (* (pow a1 2) (sqrt 2))))) (taylor inf a1) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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)) (* (pow a1 2) (sqrt 2))))) (taylor inf a1) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a1 2) (sqrt 2)) (taylor inf a1) (#s(alt #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (patch #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))) (taylor inf a1) (#s(alt #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (patch #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))) (taylor inf a1) (#s(alt #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (patch #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))) (taylor inf a1) (#s(alt #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (patch #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a1 2) (cos th)) (sqrt 2)) (taylor inf a1) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- (* a2 a2) (* a1 a1)) (neg.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)) (* (pow a1 2) (sqrt 2))))) (taylor inf a1) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow a2 4) (cos th)) (sqrt 2))) (/ (* (pow a2 4) (cos th)) (sqrt 2))) (pow a1 4))) (/ (cos th) (sqrt 2))) (* -1 (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))) (taylor inf a1) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 2) (- (+ (* -1 (/ (* (pow a2 2) (+ (* -1 (/ (* (pow a2 4) (cos th)) (sqrt 2))) (/ (* (pow a2 4) (cos th)) (sqrt 2)))) (pow a1 6))) (/ (cos th) (sqrt 2))) (+ (* -1 (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))) (+ (* -1 (/ (* (pow a2 4) (cos th)) (* (pow a1 4) (sqrt 2)))) (/ (* (pow a2 4) (cos th)) (* (pow a1 4) (sqrt 2))))))) (taylor inf a1) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 6) (cos th)) (taylor inf a1) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6)))) (taylor inf a1) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6)))) (taylor inf a1) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6)))) (taylor inf a1) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow a1 6) (taylor inf a1) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6)))) (taylor inf a1) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6)))) (taylor inf a1) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6)))) (taylor inf a1) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (pow a1 2) (taylor inf a1) (#s(alt (.f64 a1 a1) (patch (.f64 a1 a1) #<representation binary64>) () ())) ())
#s(alt (pow a1 2) (taylor inf a1) (#s(alt (.f64 a1 a1) (patch (.f64 a1 a1) #<representation binary64>) () ())) ())
#s(alt (pow a1 2) (taylor inf a1) (#s(alt (.f64 a1 a1) (patch (.f64 a1 a1) #<representation binary64>) () ())) ())
#s(alt (pow a1 2) (taylor inf a1) (#s(alt (.f64 a1 a1) (patch (.f64 a1 a1) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow a1 2)) (taylor inf a1) (#s(alt (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) (patch (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 2) (+ 1/2 (* 1/2 (/ (pow a2 2) (pow a1 2))))) (taylor inf a1) (#s(alt (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) (patch (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 2) (+ 1/2 (* 1/2 (/ (pow a2 2) (pow a1 2))))) (taylor inf a1) (#s(alt (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) (patch (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 2) (+ 1/2 (* 1/2 (/ (pow a2 2) (pow a1 2))))) (taylor inf a1) (#s(alt (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) (patch (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (taylor inf a1) (#s(alt (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (patch (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) #<representation binary64>) () ())) ())
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#s(alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))) (taylor -inf a1) (#s(alt #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (patch #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))) (taylor -inf a1) (#s(alt #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (patch #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow a1 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow a2 4) (cos th)) (sqrt 2))) (/ (* (pow a2 4) (cos th)) (sqrt 2))) (pow a1 4))) (/ (cos th) (sqrt 2))) (* -1 (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))) (taylor -inf a1) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 2) (- (+ (* -1 (/ (* (pow a2 2) (+ (* -1 (/ (* (pow a2 4) (cos th)) (sqrt 2))) (/ (* (pow a2 4) (cos th)) (sqrt 2)))) (pow a1 6))) (/ (cos th) (sqrt 2))) (+ (* -1 (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))) (+ (* -1 (/ (* (pow a2 4) (cos th)) (* (pow a1 4) (sqrt 2)))) (/ (* (pow a2 4) (cos th)) (* (pow a1 4) (sqrt 2))))))) (taylor -inf a1) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6)))) (taylor -inf a1) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow a1 6) (taylor -inf a1) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6)))) (taylor -inf a1) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6)))) (taylor -inf a1) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (taylor 0 th) (#s(alt (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (patch (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ (/ (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))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))) #<representation binary64>) () ())) ())
#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))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* (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)))) (taylor 0 th) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* (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)))) (taylor 0 th) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (pow a1 6) (pow a2 6)) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4)))) (taylor 0 th) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))) (+ (/ (pow a1 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4)))) (/ (pow a2 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4)))))) (taylor 0 th) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 6) (pow a2 6)) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))))) (+ (/ (pow a1 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4)))) (/ (pow a2 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4)))))) (taylor 0 th) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 6) (pow a2 6)) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))) (* 1/24 (/ (+ (pow a1 6) (pow a2 6)) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))))))) (+ (/ (pow a1 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4)))) (/ (pow a2 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4)))))) (taylor 0 th) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (pow a1 6) (pow a2 6)) (taylor 0 th) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (pow th 2) (+ (pow a1 6) (pow a2 6)))) (+ (pow a1 6) (pow a2 6))) (taylor 0 th) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 6) (pow a2 6))) (* 1/24 (* (pow th 2) (+ (pow a1 6) (pow a2 6)))))) (+ (pow a1 6) (pow a2 6))) (taylor 0 th) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 6) (pow a2 6))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (pow a1 6) (pow a2 6)))) (* 1/24 (+ (pow a1 6) (pow a2 6))))))) (+ (pow a1 6) (pow a2 6))) (taylor 0 th) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 th) (#s(alt #s(approx (cos th) #s(literal 1 binary64)) (patch #s(approx (cos th) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow th 2))) (taylor 0 th) (#s(alt #s(approx (cos th) #s(literal 1 binary64)) (patch #s(approx (cos th) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2))) (taylor 0 th) (#s(alt #s(approx (cos th) #s(literal 1 binary64)) (patch #s(approx (cos th) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))) (taylor 0 th) (#s(alt #s(approx (cos th) #s(literal 1 binary64)) (patch #s(approx (cos th) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))) (taylor inf th) (#s(alt #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) (patch #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))) (taylor inf th) (#s(alt #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) (patch #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))) (taylor inf th) (#s(alt #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) (patch #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))) (taylor inf th) (#s(alt #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) (patch #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (taylor inf th) (#s(alt (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) (patch (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (taylor inf th) (#s(alt (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) (patch (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (taylor inf th) (#s(alt (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) (patch (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (taylor inf th) (#s(alt (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) (patch (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) #<representation binary64>) () ())) ())
#s(alt (cos th) (taylor inf th) (#s(alt (cos.f64 th) (patch (cos.f64 th) #<representation binary64>) () ())) ())
#s(alt (cos th) (taylor inf th) (#s(alt (cos.f64 th) (patch (cos.f64 th) #<representation binary64>) () ())) ())
#s(alt (cos th) (taylor inf th) (#s(alt (cos.f64 th) (patch (cos.f64 th) #<representation binary64>) () ())) ())
#s(alt (cos th) (taylor inf th) (#s(alt (cos.f64 th) (patch (cos.f64 th) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (taylor inf th) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (taylor inf th) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (taylor inf th) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) #<representation binary64>) () ())) ())
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#s(alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (taylor inf th) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 inf th) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 inf th) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 inf th) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4)))) (taylor inf th) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4)))) (taylor inf th) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4)))) (taylor inf th) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4)))) (taylor inf th) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (cos th) (+ (pow a1 6) (pow a2 6))) (taylor inf th) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (cos th) (taylor inf th) (#s(alt #s(approx (cos th) #s(literal 1 binary64)) (patch #s(approx (cos th) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos th) (taylor inf th) (#s(alt #s(approx (cos th) #s(literal 1 binary64)) (patch #s(approx (cos th) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (taylor 0 a2) (#s(alt #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) (patch #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))) (taylor 0 a2) (#s(alt #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) (patch #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))) (taylor 0 a2) (#s(alt #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) (patch #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))) (taylor 0 a2) (#s(alt #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) (patch #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (taylor 0 a2) (#s(alt (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) (patch (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))) (taylor 0 a2) (#s(alt (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) (patch (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))) (taylor 0 a2) (#s(alt (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) (patch (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))) (taylor 0 a2) (#s(alt (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) (patch (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow a1 2) (sqrt 2))) (taylor 0 a2) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2)))) (taylor 0 a2) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2)))) (taylor 0 a2) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2)))) (taylor 0 a2) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) #<representation binary64>) () ())) ())
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#s(alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (taylor 0 a2) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (taylor 0 a2) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (taylor 0 a2) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a1 2) (sqrt 2)) (taylor 0 a2) (#s(alt #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (patch #s(approx (+ ( a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (taylor 0 a2) (#s(alt #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (patch #s(approx (+ ( a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (taylor 0 a2) (#s(alt #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (patch #s(approx (+ ( a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #<representation binary64>) () ())) ())
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#s(alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))) (taylor 0 a2) (#s(alt #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch #s(approx (/ (+ ( (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow a1 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))) (taylor 0 a2) (#s(alt (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (patch (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a1 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))) (* (pow a2 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2)))))) (taylor 0 a2) (#s(alt (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (patch (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a1 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))) (* (pow a2 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2)))))) (taylor 0 a2) (#s(alt (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (patch (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a1 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))) (* (pow a2 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2)))))) (taylor 0 a2) (#s(alt (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (patch (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 2) (sqrt 2)) (taylor 0 a2) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))) (taylor 0 a2) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))) (taylor 0 a2) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))) (taylor 0 a2) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (/ a1 (sqrt 2)) (taylor 0 a2) (#s(alt (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (patch (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ a1 (sqrt 2)) (/ (pow a2 2) (* a1 (sqrt 2)))) (taylor 0 a2) (#s(alt (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (patch (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ a1 (sqrt 2)) (/ (pow a2 2) (* a1 (sqrt 2)))) (taylor 0 a2) (#s(alt (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (patch (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ a1 (sqrt 2)) (/ (pow a2 2) (* a1 (sqrt 2)))) (taylor 0 a2) (#s(alt (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (patch (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a1 2) (sqrt 2)) (taylor 0 a2) (#s(alt (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (patch (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 a2) (#s(alt (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (patch (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 a2) (#s(alt (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (patch (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 a2) (#s(alt (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (patch (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a1 2) (cos th)) (sqrt 2)) (taylor 0 a2) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 a2) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 a2) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 a2) (#s(alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a1 2) (sqrt 2)) (taylor 0 a2) (#s(alt #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (patch #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 a2) (#s(alt #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (patch #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 a2) (#s(alt #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (patch #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 a2) (#s(alt #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (patch #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a1 2) (cos th)) (sqrt 2)) (taylor 0 a2) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- (* a2 a2) (* a1 a1)) (neg.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 a2) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a2 2) (- (* -1 (* (pow a2 2) (+ (* -1 (/ (cos th) (* (pow a1 2) (sqrt 2)))) (/ (cos th) (* (pow a1 2) (sqrt 2)))))) (* -1 (/ (cos th) (sqrt 2))))) (/ (* (pow a1 2) (cos th)) (sqrt 2))) (taylor 0 a2) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a2 2) (- (* (pow a2 2) (- (* (pow a2 2) (- (/ (cos th) (* (pow a1 4) (sqrt 2))) (+ (* -1 (/ (cos th) (* (pow a1 4) (sqrt 2)))) (* 2 (/ (cos th) (* (pow a1 4) (sqrt 2))))))) (+ (* -1 (/ (cos th) (* (pow a1 2) (sqrt 2)))) (/ (cos th) (* (pow a1 2) (sqrt 2)))))) (* -1 (/ (cos th) (sqrt 2))))) (/ (* (pow a1 2) (cos th)) (sqrt 2))) (taylor 0 a2) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a1 6) (cos th)) (taylor 0 a2) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th))) (taylor 0 a2) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th))) (taylor 0 a2) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th))) (taylor 0 a2) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow a1 6) (taylor 0 a2) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (+ (pow a1 6) (pow a2 6)) (taylor 0 a2) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (+ (pow a1 6) (pow a2 6)) (taylor 0 a2) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (+ (pow a1 6) (pow a2 6)) (taylor 0 a2) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow a1 2)) (taylor 0 a2) (#s(alt (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) (patch (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (pow a1 2)) (* 1/2 (pow a2 2))) (taylor 0 a2) (#s(alt (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) (patch (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (pow a1 2)) (* 1/2 (pow a2 2))) (taylor 0 a2) (#s(alt (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) (patch (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (pow a1 2)) (* 1/2 (pow a2 2))) (taylor 0 a2) (#s(alt (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) (patch (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (taylor 0 a2) (#s(alt (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (patch (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (taylor 0 a2) (#s(alt (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (patch (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (taylor 0 a2) (#s(alt (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (patch (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (taylor 0 a2) (#s(alt (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (patch (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow a1 2)) (taylor 0 a2) (#s(alt #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))) (patch #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (- (pow a2 2) (pow a1 2)) (taylor 0 a2) (#s(alt #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))) (patch #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (- (pow a2 2) (pow a1 2)) (taylor 0 a2) (#s(alt #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))) (patch #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (- (pow a2 2) (pow a1 2)) (taylor 0 a2) (#s(alt #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))) (patch #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))) (taylor inf a2) (#s(alt #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) (patch #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) #<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 #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) (patch #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) #<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 #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) (patch #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) #<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 #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) (patch #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))) (taylor inf a2) (#s(alt (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) (patch (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) #<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 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) (patch (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) #<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 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) (patch (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) #<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 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) (patch (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow a2 2) (sqrt 2))) (taylor inf a2) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))) (taylor inf a2) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))) (taylor inf a2) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))) (taylor inf a2) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) #<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))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (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))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (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))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (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))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (sqrt 2)) (taylor inf a2) (#s(alt #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (patch #s(approx (+ ( a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (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 #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (patch #s(approx (+ ( a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (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 #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (patch #s(approx (+ ( a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (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 #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (patch #s(approx (+ ( a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))) (taylor inf a2) (#s(alt #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch #s(approx (/ (+ ( (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 th th)) #s(literal -1/2 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 #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch #s(approx (/ (+ ( (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 th th)) #s(literal -1/2 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 #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch #s(approx (/ (+ ( (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 th th)) #s(literal -1/2 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 #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch #s(approx (/ (+ ( (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))) (taylor inf a2) (#s(alt (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (patch (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2)))) (/ (* (pow a1 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))) (pow a2 2)))) (taylor inf a2) (#s(alt (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (patch (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2)))) (/ (* (pow a1 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))) (pow a2 2)))) (taylor inf a2) (#s(alt (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (patch (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2)))) (/ (* (pow a1 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))) (pow a2 2)))) (taylor inf a2) (#s(alt (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (patch (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (sqrt 2)) (taylor inf a2) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (taylor inf a2) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (taylor inf a2) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (taylor inf a2) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (* a1 (sqrt 2))) (taylor inf a2) (#s(alt (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (patch (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ 1 (* a1 (sqrt 2))) (/ a1 (* (pow a2 2) (sqrt 2))))) (taylor inf a2) (#s(alt (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (patch (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ 1 (* a1 (sqrt 2))) (/ a1 (* (pow a2 2) (sqrt 2))))) (taylor inf a2) (#s(alt (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (patch (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ 1 (* a1 (sqrt 2))) (/ a1 (* (pow a2 2) (sqrt 2))))) (taylor inf a2) (#s(alt (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (patch (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (sqrt 2)) (taylor inf a2) (#s(alt (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (patch (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))) (taylor inf a2) (#s(alt (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (patch (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))) (taylor inf a2) (#s(alt (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (patch (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))) (taylor inf a2) (#s(alt (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (patch (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.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))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.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))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.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))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.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))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (sqrt 2)) (taylor inf a2) (#s(alt #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (patch #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))) (taylor inf a2) (#s(alt #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (patch #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))) (taylor inf a2) (#s(alt #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (patch #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))) (taylor inf a2) (#s(alt #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (patch #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a2 2) (cos th)) (sqrt 2)) (taylor inf a2) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 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 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow a1 4) (cos th)) (sqrt 2))) (/ (* (pow a1 4) (cos th)) (sqrt 2))) (pow a2 4))) (/ (cos th) (sqrt 2))) (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))) (taylor inf a2) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (- (+ (* -1 (/ (* (pow a1 2) (+ (* -1 (/ (* (pow a1 4) (cos th)) (sqrt 2))) (/ (* (pow a1 4) (cos th)) (sqrt 2)))) (pow a2 6))) (/ (cos th) (sqrt 2))) (+ (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))) (+ (* -1 (/ (* (pow a1 4) (cos th)) (* (pow a2 4) (sqrt 2)))) (/ (* (pow a1 4) (cos th)) (* (pow a2 4) (sqrt 2))))))) (taylor inf a2) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (cos th)) (taylor inf a2) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6)))) (taylor inf a2) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6)))) (taylor inf a2) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6)))) (taylor inf a2) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow a2 6) (taylor inf a2) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6)))) (taylor inf a2) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6)))) (taylor inf a2) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6)))) (taylor inf a2) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow a2 2)) (taylor inf a2) (#s(alt (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) (patch (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ 1/2 (* 1/2 (/ (pow a1 2) (pow a2 2))))) (taylor inf a2) (#s(alt (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) (patch (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ 1/2 (* 1/2 (/ (pow a1 2) (pow a2 2))))) (taylor inf a2) (#s(alt (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) (patch (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ 1/2 (* 1/2 (/ (pow a1 2) (pow a2 2))))) (taylor inf a2) (#s(alt (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) (patch (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (taylor inf a2) (#s(alt (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (patch (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (taylor inf a2) (#s(alt (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (patch (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (taylor inf a2) (#s(alt (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (patch (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (taylor inf a2) (#s(alt (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (patch (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (pow a2 2) (taylor inf a2) (#s(alt #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))) (patch #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2))))) (taylor inf a2) (#s(alt #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))) (patch #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2))))) (taylor inf a2) (#s(alt #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))) (patch #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2))))) (taylor inf a2) (#s(alt #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))) (patch #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))) (taylor -inf a2) (#s(alt #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) (patch #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) #<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 #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) (patch #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) #<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 #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) (patch #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) #<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 #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) (patch #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))) (taylor -inf a2) (#s(alt (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) (patch (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) #<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 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) (patch (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) #<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 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) (patch (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) #<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 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) (patch (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow a2 2) (sqrt 2))) (taylor -inf a2) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))) (taylor -inf a2) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))) (taylor -inf a2) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))) (taylor -inf a2) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) #<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))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (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))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (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))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (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))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) (patch #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (sqrt 2)) (taylor -inf a2) (#s(alt #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (patch #s(approx (+ ( a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (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 #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (patch #s(approx (+ ( a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (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 #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (patch #s(approx (+ ( a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (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 #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (patch #s(approx (+ ( a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))) (taylor -inf a2) (#s(alt #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch #s(approx (/ (+ ( (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 th th)) #s(literal -1/2 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 #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch #s(approx (/ (+ ( (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 th th)) #s(literal -1/2 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 #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch #s(approx (/ (+ ( (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))) (taylor -inf a2) (#s(alt (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (patch (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.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))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.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))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.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))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.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))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (sqrt 2)) (taylor -inf a2) (#s(alt #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (patch #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))) (taylor -inf a2) (#s(alt #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (patch #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))) (taylor -inf a2) (#s(alt #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (patch #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow a2 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow a1 4) (cos th)) (sqrt 2))) (/ (* (pow a1 4) (cos th)) (sqrt 2))) (pow a2 4))) (/ (cos th) (sqrt 2))) (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))) (taylor -inf a2) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (- (+ (* -1 (/ (* (pow a1 2) (+ (* -1 (/ (* (pow a1 4) (cos th)) (sqrt 2))) (/ (* (pow a1 4) (cos th)) (sqrt 2)))) (pow a2 6))) (/ (cos th) (sqrt 2))) (+ (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))) (+ (* -1 (/ (* (pow a1 4) (cos th)) (* (pow a2 4) (sqrt 2)))) (/ (* (pow a1 4) (cos th)) (* (pow a2 4) (sqrt 2))))))) (taylor -inf a2) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (cos th)) (taylor -inf a2) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6)))) (taylor -inf a2) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6)))) (taylor -inf a2) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6)))) (taylor -inf a2) (#s(alt (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (patch (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow a2 6) (taylor -inf a2) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6)))) (taylor -inf a2) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6)))) (taylor -inf a2) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6)))) (taylor -inf a2) (#s(alt (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (patch (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow a2 2)) (taylor -inf a2) (#s(alt (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) (patch (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ 1/2 (* 1/2 (/ (pow a1 2) (pow a2 2))))) (taylor -inf a2) (#s(alt (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) (patch (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ 1/2 (* 1/2 (/ (pow a1 2) (pow a2 2))))) (taylor -inf a2) (#s(alt (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) (patch (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ 1/2 (* 1/2 (/ (pow a1 2) (pow a2 2))))) (taylor -inf a2) (#s(alt (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) (patch (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (taylor -inf a2) (#s(alt (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (patch (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (taylor -inf a2) (#s(alt (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (patch (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (taylor -inf a2) (#s(alt (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (patch (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (taylor -inf a2) (#s(alt (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (patch (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (pow a2 2) (taylor -inf a2) (#s(alt #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))) (patch #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2))))) (taylor -inf a2) (#s(alt #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))) (patch #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2))))) (taylor -inf a2) (#s(alt #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))) (patch #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))) #<representation binary64>) () ())) ())
#s(alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2))))) (taylor -inf a2) (#s(alt #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (.f64 a1 a1))) (patch #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
21.0ms	a1	@	-inf	((/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (* (cos th) (* (sqrt 2) (* 1/2 (+ (* a2 a2) (* a1 a1))))) (cos th) (* (sqrt 2) (* 1/2 (+ (* a2 a2) (* a1 a1)))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (* (/ a1 (sqrt 2)) a1) (/ a1 (sqrt 2)) (+ (* (* 1/2 (* th th)) -1/2) 1/2) (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* (* 1/2 (* th th)) -1/2) 1/2)) (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* a1 (/ (* a2 a2) (* (sqrt 2) (* a1 a1)))) (/ a1 (sqrt 2))) (* a1 (+ (* a1 (/ (* a2 a2) (* (sqrt 2) (* a1 a1)))) (/ a1 (sqrt 2)))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (* (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))) (sqrt 2))) (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (* a1 a1) (* 1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2) (/ (* a2 a2) (* (sqrt 2) (* a1 a1))) (- (* a2 a2) (* a1 a1)) (cos th))
7.0ms	a2	@	inf	((/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (* (cos th) (* (sqrt 2) (* 1/2 (+ (* a2 a2) (* a1 a1))))) (cos th) (* (sqrt 2) (* 1/2 (+ (* a2 a2) (* a1 a1)))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (* (/ a1 (sqrt 2)) a1) (/ a1 (sqrt 2)) (+ (* (* 1/2 (* th th)) -1/2) 1/2) (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* (* 1/2 (* th th)) -1/2) 1/2)) (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* a1 (/ (* a2 a2) (* (sqrt 2) (* a1 a1)))) (/ a1 (sqrt 2))) (* a1 (+ (* a1 (/ (* a2 a2) (* (sqrt 2) (* a1 a1)))) (/ a1 (sqrt 2)))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (* (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))) (sqrt 2))) (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (* a1 a1) (* 1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2) (/ (* a2 a2) (* (sqrt 2) (* a1 a1))) (- (* a2 a2) (* a1 a1)) (cos th))
6.0ms	a1	@	inf	((/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (* (cos th) (* (sqrt 2) (* 1/2 (+ (* a2 a2) (* a1 a1))))) (cos th) (* (sqrt 2) (* 1/2 (+ (* a2 a2) (* a1 a1)))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (* (/ a1 (sqrt 2)) a1) (/ a1 (sqrt 2)) (+ (* (* 1/2 (* th th)) -1/2) 1/2) (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* (* 1/2 (* th th)) -1/2) 1/2)) (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* a1 (/ (* a2 a2) (* (sqrt 2) (* a1 a1)))) (/ a1 (sqrt 2))) (* a1 (+ (* a1 (/ (* a2 a2) (* (sqrt 2) (* a1 a1)))) (/ a1 (sqrt 2)))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (* (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))) (sqrt 2))) (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (* a1 a1) (* 1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2) (/ (* a2 a2) (* (sqrt 2) (* a1 a1))) (- (* a2 a2) (* a1 a1)) (cos th))
5.0ms	a1	@	0	((/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (* (cos th) (* (sqrt 2) (* 1/2 (+ (* a2 a2) (* a1 a1))))) (cos th) (* (sqrt 2) (* 1/2 (+ (* a2 a2) (* a1 a1)))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (* (/ a1 (sqrt 2)) a1) (/ a1 (sqrt 2)) (+ (* (* 1/2 (* th th)) -1/2) 1/2) (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* (* 1/2 (* th th)) -1/2) 1/2)) (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* a1 (/ (* a2 a2) (* (sqrt 2) (* a1 a1)))) (/ a1 (sqrt 2))) (* a1 (+ (* a1 (/ (* a2 a2) (* (sqrt 2) (* a1 a1)))) (/ a1 (sqrt 2)))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (* (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))) (sqrt 2))) (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (* a1 a1) (* 1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2) (/ (* a2 a2) (* (sqrt 2) (* a1 a1))) (- (* a2 a2) (* a1 a1)) (cos th))
5.0ms	a2	@	0	((/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (* (cos th) (* (sqrt 2) (* 1/2 (+ (* a2 a2) (* a1 a1))))) (cos th) (* (sqrt 2) (* 1/2 (+ (* a2 a2) (* a1 a1)))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (* (/ a1 (sqrt 2)) a1) (/ a1 (sqrt 2)) (+ (* (* 1/2 (* th th)) -1/2) 1/2) (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* (* 1/2 (* th th)) -1/2) 1/2)) (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* a1 (/ (* a2 a2) (* (sqrt 2) (* a1 a1)))) (/ a1 (sqrt 2))) (* a1 (+ (* a1 (/ (* a2 a2) (* (sqrt 2) (* a1 a1)))) (/ a1 (sqrt 2)))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (* (+ (* a1 (* a1 (* a1 a1))) (* (* a2 a2) (- (* a2 a2) (* a1 a1)))) (sqrt 2))) (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (* a1 a1) (* 1/2 (+ (* a2 a2) (* a1 a1))) (sqrt 2) (/ (* a2 a2) (* (sqrt 2) (* a1 a1))) (- (* a2 a2) (* a1 a1)) (cos th))

simplify421.0ms (3.5%)

Memory

-24.9MiB live, 492.3MiB allocated

Algorithm

1×	egg-herbie

Rules

17 092×	`lower-fma.f64`
17 092×	`lower-fma.f32`
5 840×	`lower-*.f64`
5 840×	`lower-*.f32`
4 460×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	355	9427
1	1251	8974
2	5044	8718
0	8330	8252

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 600

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)))))
(* 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)))))
(* 1/2 (* (pow a2 2) (sqrt 2)))
(+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))
(+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))
(+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (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)))
(/ (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) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2)))))
(+ (* (pow a1 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))) (* (pow a2 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))))
(+ (* (pow a1 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))) (* (pow a2 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))))
(+ (* (pow a1 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))) (* (pow a2 2) (* (sqrt 2) (+ 1/2 (* -1/4 (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)))
(/ (pow a2 2) (* a1 (sqrt 2)))
(/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) a1)
(/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) a1)
(/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) 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)))
(/ (* (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) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (* (pow a1 2) (- (* -1 (* (pow a1 2) (+ (* -1 (/ (cos th) (* (pow a2 2) (sqrt 2)))) (/ (cos th) (* (pow a2 2) (sqrt 2)))))) (* -1 (/ (cos th) (sqrt 2))))) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (* (pow a1 2) (- (* (pow a1 2) (- (* (pow a1 2) (- (/ (cos th) (* (pow a2 4) (sqrt 2))) (+ (* -1 (/ (cos th) (* (pow a2 4) (sqrt 2)))) (* 2 (/ (cos th) (* (pow a2 4) (sqrt 2))))))) (+ (* -1 (/ (cos th) (* (pow a2 2) (sqrt 2)))) (/ (cos th) (* (pow a2 2) (sqrt 2)))))) (* -1 (/ (cos th) (sqrt 2))))) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(* (pow a2 6) (cos th))
(+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))
(+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))
(+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))
(pow a2 6)
(+ (pow a1 6) (pow a2 6))
(+ (pow a1 6) (pow a2 6))
(+ (pow a1 6) (pow a2 6))
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(* 1/2 (pow a2 2))
(+ (* 1/2 (pow a1 2)) (* 1/2 (pow a2 2)))
(+ (* 1/2 (pow a1 2)) (* 1/2 (pow a2 2)))
(+ (* 1/2 (pow a1 2)) (* 1/2 (pow a2 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(pow a2 2)
(+ (* -1 (pow a1 2)) (pow a2 2))
(+ (* -1 (pow a1 2)) (pow a2 2))
(+ (* -1 (pow a1 2)) (pow a2 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)))))
(* 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)))))
(* 1/2 (* (pow a1 2) (sqrt 2)))
(* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (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)))))
(/ (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) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2)))))
(* (pow a1 2) (+ (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2)))) (/ (* (pow a2 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))) (pow a1 2))))
(* (pow a1 2) (+ (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2)))) (/ (* (pow a2 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))) (pow a1 2))))
(* (pow a1 2) (+ (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2)))) (/ (* (pow a2 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 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))))
(/ a1 (sqrt 2))
(* a1 (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* a1 (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* a1 (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (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) (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) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow a2 4) (cos th)) (sqrt 2))) (/ (* (pow a2 4) (cos th)) (sqrt 2))) (pow a1 4))) (/ (cos th) (sqrt 2))) (* -1 (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2))))))
(* (pow a1 2) (- (+ (* -1 (/ (* (pow a2 2) (+ (* -1 (/ (* (pow a2 4) (cos th)) (sqrt 2))) (/ (* (pow a2 4) (cos th)) (sqrt 2)))) (pow a1 6))) (/ (cos th) (sqrt 2))) (+ (* -1 (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))) (+ (* -1 (/ (* (pow a2 4) (cos th)) (* (pow a1 4) (sqrt 2)))) (/ (* (pow a2 4) (cos th)) (* (pow a1 4) (sqrt 2)))))))
(* (pow a1 6) (cos th))
(* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))
(* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))
(* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))
(pow a1 6)
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(* 1/2 (pow a1 2))
(* (pow a1 2) (+ 1/2 (* 1/2 (/ (pow a2 2) (pow a1 2)))))
(* (pow a1 2) (+ 1/2 (* 1/2 (/ (pow a2 2) (pow a1 2)))))
(* (pow a1 2) (+ 1/2 (* 1/2 (/ (pow a2 2) (pow a1 2)))))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(* -1 (pow a1 2))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* 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)))))
(* 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)))))
(* 1/2 (* (pow a1 2) (sqrt 2)))
(* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (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)))))
(/ (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) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2)))))
(* (pow a1 2) (+ (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2)))) (/ (* (pow a2 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))) (pow a1 2))))
(* (pow a1 2) (+ (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2)))) (/ (* (pow a2 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))) (pow a1 2))))
(* (pow a1 2) (+ (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2)))) (/ (* (pow a2 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 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))))
(/ a1 (sqrt 2))
(* -1 (* a1 (- (* -1 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (/ 1 (sqrt 2)))))
(* -1 (* a1 (- (* -1 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (/ 1 (sqrt 2)))))
(* -1 (* a1 (- (* -1 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (/ 1 (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) (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) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow a2 4) (cos th)) (sqrt 2))) (/ (* (pow a2 4) (cos th)) (sqrt 2))) (pow a1 4))) (/ (cos th) (sqrt 2))) (* -1 (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2))))))
(* (pow a1 2) (- (+ (* -1 (/ (* (pow a2 2) (+ (* -1 (/ (* (pow a2 4) (cos th)) (sqrt 2))) (/ (* (pow a2 4) (cos th)) (sqrt 2)))) (pow a1 6))) (/ (cos th) (sqrt 2))) (+ (* -1 (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))) (+ (* -1 (/ (* (pow a2 4) (cos th)) (* (pow a1 4) (sqrt 2)))) (/ (* (pow a2 4) (cos th)) (* (pow a1 4) (sqrt 2)))))))
(* (pow a1 6) (cos th))
(* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))
(* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))
(* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))
(pow a1 6)
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(* 1/2 (pow a1 2))
(* (pow a1 2) (+ 1/2 (* 1/2 (/ (pow a2 2) (pow a1 2)))))
(* (pow a1 2) (+ 1/2 (* 1/2 (/ (pow a2 2) (pow a1 2)))))
(* (pow a1 2) (+ 1/2 (* 1/2 (/ (pow a2 2) (pow a1 2)))))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(* -1 (pow a1 2))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* 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))))))))))
(* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(+ (* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/48 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))
(+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/1440 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/48 (* (sqrt 2) (+ (pow a1 2) (pow a2 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 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
(+ 1/2 (* -1/4 (pow th 2)))
(+ 1/2 (* -1/4 (pow th 2)))
(+ 1/2 (* -1/4 (pow th 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))))))))))
(* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(+ (* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(+ (* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(+ (* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 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 6) (pow a2 6)) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))) (+ (/ (pow a1 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4)))) (/ (pow a2 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 6) (pow a2 6)) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))))) (+ (/ (pow a1 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4)))) (/ (pow a2 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 6) (pow a2 6)) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))) (* 1/24 (/ (+ (pow a1 6) (pow a2 6)) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))))))) (+ (/ (pow a1 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4)))) (/ (pow a2 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))))
(+ (pow a1 6) (pow a2 6))
(+ (* -1/2 (* (pow th 2) (+ (pow a1 6) (pow a2 6)))) (+ (pow a1 6) (pow a2 6)))
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 6) (pow a2 6))) (* 1/24 (* (pow th 2) (+ (pow a1 6) (pow a2 6)))))) (+ (pow a1 6) (pow a2 6)))
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 6) (pow a2 6))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (pow a1 6) (pow a2 6)))) (* 1/24 (+ (pow a1 6) (pow a2 6))))))) (+ (pow a1 6) (pow a2 6)))
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)))
(* 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)))))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(cos th)
(cos th)
(cos th)
(cos th)
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(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(* -1/4 (pow th 2))
(* (pow th 2) (- (* 1/2 (/ 1 (pow th 2))) 1/4))
(* (pow th 2) (- (* 1/2 (/ 1 (pow th 2))) 1/4))
(* (pow th 2) (- (* 1/2 (/ 1 (pow th 2))) 1/4))
(* 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)))))
(* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
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(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
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(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))
(* (cos th) (+ (pow a1 6) (pow a2 6)))
(* (cos th) (+ (pow a1 6) (pow a2 6)))
(* (cos th) (+ (pow a1 6) (pow a2 6)))
(* (cos th) (+ (pow a1 6) (pow a2 6)))
(cos th)
(cos th)
(cos th)
(cos th)
(* 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)))))
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(cos th)
(cos th)
(cos th)
(cos th)
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(* -1/4 (pow th 2))
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(* (pow th 2) (- (* 1/2 (/ 1 (pow th 2))) 1/4))
(* (pow th 2) (- (* 1/2 (/ 1 (pow th 2))) 1/4))
(* 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)))))
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(* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
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(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))
(* (cos th) (+ (pow a1 6) (pow a2 6)))
(* (cos th) (+ (pow a1 6) (pow a2 6)))
(* (cos th) (+ (pow a1 6) (pow a2 6)))
(* (cos th) (+ (pow a1 6) (pow a2 6)))
(cos th)
(cos th)
(cos th)
(cos th)
(* 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)))))
(* 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)))))
(* 1/2 (* (pow a1 2) (sqrt 2)))
(+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))
(+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))
(+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (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) (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) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2)))))
(+ (* (pow a1 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))) (* (pow a2 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))))
(+ (* (pow a1 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))) (* (pow a2 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))))
(+ (* (pow a1 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))) (* (pow a2 2) (* (sqrt 2) (+ 1/2 (* -1/4 (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)))
(/ a1 (sqrt 2))
(+ (/ a1 (sqrt 2)) (/ (pow a2 2) (* a1 (sqrt 2))))
(+ (/ a1 (sqrt 2)) (/ (pow a2 2) (* a1 (sqrt 2))))
(+ (/ a1 (sqrt 2)) (/ (pow a2 2) (* a1 (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) (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) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (* (pow a2 2) (- (* -1 (* (pow a2 2) (+ (* -1 (/ (cos th) (* (pow a1 2) (sqrt 2)))) (/ (cos th) (* (pow a1 2) (sqrt 2)))))) (* -1 (/ (cos th) (sqrt 2))))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))
(+ (* (pow a2 2) (- (* (pow a2 2) (- (* (pow a2 2) (- (/ (cos th) (* (pow a1 4) (sqrt 2))) (+ (* -1 (/ (cos th) (* (pow a1 4) (sqrt 2)))) (* 2 (/ (cos th) (* (pow a1 4) (sqrt 2))))))) (+ (* -1 (/ (cos th) (* (pow a1 2) (sqrt 2)))) (/ (cos th) (* (pow a1 2) (sqrt 2)))))) (* -1 (/ (cos th) (sqrt 2))))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))
(* (pow a1 6) (cos th))
(+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))
(+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))
(+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))
(pow a1 6)
(+ (pow a1 6) (pow a2 6))
(+ (pow a1 6) (pow a2 6))
(+ (pow a1 6) (pow a2 6))
(* 1/2 (pow a1 2))
(+ (* 1/2 (pow a1 2)) (* 1/2 (pow a2 2)))
(+ (* 1/2 (pow a1 2)) (* 1/2 (pow a2 2)))
(+ (* 1/2 (pow a1 2)) (* 1/2 (pow a2 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(* -1 (pow a1 2))
(- (pow a2 2) (pow a1 2))
(- (pow a2 2) (pow a1 2))
(- (pow a2 2) (pow a1 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)))))
(* 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)))))
(* 1/2 (* (pow a2 2) (sqrt 2)))
(* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (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) (+ (/ 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) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2)))))
(* (pow a2 2) (+ (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2)))) (/ (* (pow a1 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))) (pow a2 2))))
(* (pow a2 2) (+ (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2)))) (/ (* (pow a1 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))) (pow a2 2))))
(* (pow a2 2) (+ (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2)))) (/ (* (pow a1 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 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))))
(/ (pow a2 2) (* a1 (sqrt 2)))
(* (pow a2 2) (+ (/ 1 (* a1 (sqrt 2))) (/ a1 (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (* a1 (sqrt 2))) (/ a1 (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (* a1 (sqrt 2))) (/ a1 (* (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)))))
(/ (* (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)))))
(/ (* (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) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow a1 4) (cos th)) (sqrt 2))) (/ (* (pow a1 4) (cos th)) (sqrt 2))) (pow a2 4))) (/ (cos th) (sqrt 2))) (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))))
(* (pow a2 2) (- (+ (* -1 (/ (* (pow a1 2) (+ (* -1 (/ (* (pow a1 4) (cos th)) (sqrt 2))) (/ (* (pow a1 4) (cos th)) (sqrt 2)))) (pow a2 6))) (/ (cos th) (sqrt 2))) (+ (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))) (+ (* -1 (/ (* (pow a1 4) (cos th)) (* (pow a2 4) (sqrt 2)))) (/ (* (pow a1 4) (cos th)) (* (pow a2 4) (sqrt 2)))))))
(* (pow a2 6) (cos th))
(* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))
(* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))
(* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))
(pow a2 6)
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(* 1/2 (pow a2 2))
(* (pow a2 2) (+ 1/2 (* 1/2 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1/2 (* 1/2 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1/2 (* 1/2 (/ (pow a1 2) (pow a2 2)))))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(pow a2 2)
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 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)))))
(* 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)))))
(* 1/2 (* (pow a2 2) (sqrt 2)))
(* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (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) (+ (/ 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) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2)))))
(* (pow a2 2) (+ (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2)))) (/ (* (pow a1 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))) (pow a2 2))))
(* (pow a2 2) (+ (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2)))) (/ (* (pow a1 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))) (pow a2 2))))
(* (pow a2 2) (+ (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2)))) (/ (* (pow a1 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 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))))
(/ (pow a2 2) (* a1 (sqrt 2)))
(* (pow a2 2) (+ (/ 1 (* a1 (sqrt 2))) (/ a1 (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (* a1 (sqrt 2))) (/ a1 (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (* a1 (sqrt 2))) (/ a1 (* (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)))))
(/ (* (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)))))
(/ (* (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) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow a1 4) (cos th)) (sqrt 2))) (/ (* (pow a1 4) (cos th)) (sqrt 2))) (pow a2 4))) (/ (cos th) (sqrt 2))) (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))))
(* (pow a2 2) (- (+ (* -1 (/ (* (pow a1 2) (+ (* -1 (/ (* (pow a1 4) (cos th)) (sqrt 2))) (/ (* (pow a1 4) (cos th)) (sqrt 2)))) (pow a2 6))) (/ (cos th) (sqrt 2))) (+ (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))) (+ (* -1 (/ (* (pow a1 4) (cos th)) (* (pow a2 4) (sqrt 2)))) (/ (* (pow a1 4) (cos th)) (* (pow a2 4) (sqrt 2)))))))
(* (pow a2 6) (cos th))
(* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))
(* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))
(* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))
(pow a2 6)
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(* 1/2 (pow a2 2))
(* (pow a2 2) (+ 1/2 (* 1/2 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1/2 (* 1/2 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1/2 (* 1/2 (/ (pow a1 2) (pow a2 2)))))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(pow a2 2)
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))

Outputs
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (.f64 a2 a2) (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a2 a2 (.f64 a1 a1)))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a2 a2 (.f64 a1 a1)))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a2 a2 (.f64 a1 a1)))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (.f64 a2 a2) (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a2 a2 (.f64 a1 a1)))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a2 a2 (.f64 a1 a1)))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a2 a2 (.f64 a1 a1)))
(* 1/2 (* (pow a2 2) (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)))
(+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (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 a2 a2 (.f64 a1 a1)))
(+ (/ (* (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 a2 a2 (.f64 a1 a1)))
(+ (/ (* (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 a2 a2 (.f64 a1 a1)))
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 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)))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (.f64 a2 a2) (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a2 a2 (.f64 a1 a1)))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a2 a2 (.f64 a1 a1)))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a2 a2 (.f64 a1 a1)))
(* (pow a2 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2)))))
(.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 th th) #s(literal 1/2 binary64))))
(+ (* (pow a1 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))) (* (pow a2 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 th th) #s(literal 1/2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))))
(+ (* (pow a1 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))) (* (pow a2 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 th th) #s(literal 1/2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))))
(+ (* (pow a1 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))) (* (pow a2 2) (* (sqrt 2) (+ 1/2 (* -1/4 (pow th 2))))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 th th) #s(literal 1/2 binary64)) (fma.f64 a2 a2 (.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 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))
(+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))
(+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))
(/ (pow a2 2) (* a1 (sqrt 2)))
(/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) a1)
(/.f64 (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) a1)
(/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) a1)
(/.f64 (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) a1)
(/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) a1)
(/.f64 (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) a1)
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (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 a2 a2 (.f64 a1 a1)))
(+ (/ (* (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 a2 a2 (.f64 a1 a1)))
(+ (/ (* (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 a2 a2 (.f64 a1 a1)))
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (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 a2 a2 (.f64 a1 a1)))
(+ (* (pow a1 2) (- (* -1 (* (pow a1 2) (+ (* -1 (/ (cos th) (* (pow a2 2) (sqrt 2)))) (/ (cos th) (* (pow a2 2) (sqrt 2)))))) (* -1 (/ (cos th) (sqrt 2))))) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
(+ (* (pow a1 2) (- (* (pow a1 2) (- (* (pow a1 2) (- (/ (cos th) (* (pow a2 4) (sqrt 2))) (+ (* -1 (/ (cos th) (* (pow a2 4) (sqrt 2)))) (* 2 (/ (cos th) (* (pow a2 4) (sqrt 2))))))) (+ (* -1 (/ (cos th) (* (pow a2 2) (sqrt 2)))) (/ (cos th) (* (pow a2 2) (sqrt 2)))))) (* -1 (/ (cos th) (sqrt 2))))) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
(* (pow a2 6) (cos th))
(*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 6 binary64)))
(+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))))
(+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))))
(+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))))
(pow a2 6)
(pow.f64 a2 #s(literal 6 binary64))
(+ (pow a1 6) (pow a2 6))
(+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))
(+ (pow a1 6) (pow a2 6))
(+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))
(+ (pow a1 6) (pow a2 6))
(+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))
(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))
(.f64 #s(literal 1/2 binary64) (.f64 a2 a2))
(+ (* 1/2 (pow a1 2)) (* 1/2 (pow a2 2)))
(.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))
(+ (* 1/2 (pow a1 2)) (* 1/2 (pow a2 2)))
(.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))
(+ (* 1/2 (pow a1 2)) (* 1/2 (pow a2 2)))
(.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
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(* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
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1
#s(literal 1 binary64)
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(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
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1/2
#s(literal 1/2 binary64)
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(fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64))
(+ 1/2 (* -1/4 (pow th 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64))
(+ 1/2 (* -1/4 (pow th 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64))
(* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))
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(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
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(/ (+ (pow a1 6) (pow a2 6)) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))
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(+ (pow a1 6) (pow a2 6))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow th 2)))
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(fma.f64 th (.f64 th (fma.f64 th (.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
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(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
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(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
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(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
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(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
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(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 (cos.f64 th) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a2 a2 (.f64 a1 a1)))
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
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(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (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 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64))))
(* (pow a2 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow a1 4) (cos th)) (sqrt 2))) (/ (* (pow a1 4) (cos th)) (sqrt 2))) (pow a2 4))) (/ (cos th) (sqrt 2))) (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))))
(.f64 (.f64 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64))))
(* (pow a2 2) (- (+ (* -1 (/ (* (pow a1 2) (+ (* -1 (/ (* (pow a1 4) (cos th)) (sqrt 2))) (/ (* (pow a1 4) (cos th)) (sqrt 2)))) (pow a2 6))) (/ (cos th) (sqrt 2))) (+ (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))) (+ (* -1 (/ (* (pow a1 4) (cos th)) (* (pow a2 4) (sqrt 2)))) (/ (* (pow a1 4) (cos th)) (* (pow a2 4) (sqrt 2)))))))
(.f64 (.f64 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64))))
(* (pow a2 6) (cos th))
(*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 6 binary64)))
(* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))
(*.f64 (pow.f64 a2 #s(literal 6 binary64)) (fma.f64 (cos.f64 th) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (cos.f64 th)))
(* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))
(*.f64 (pow.f64 a2 #s(literal 6 binary64)) (fma.f64 (cos.f64 th) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (cos.f64 th)))
(* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))
(*.f64 (pow.f64 a2 #s(literal 6 binary64)) (fma.f64 (cos.f64 th) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (cos.f64 th)))
(pow a2 6)
(pow.f64 a2 #s(literal 6 binary64))
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(*.f64 (pow.f64 a2 #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))))
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(*.f64 (pow.f64 a2 #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))))
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(*.f64 (pow.f64 a2 #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))))
(* 1/2 (pow a2 2))
(.f64 #s(literal 1/2 binary64) (.f64 a2 a2))
(* (pow a2 2) (+ 1/2 (* 1/2 (/ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 a2 a2) (fma.f64 (.f64 a1 a1) (/.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) #s(literal 1/2 binary64)))
(* (pow a2 2) (+ 1/2 (* 1/2 (/ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 a2 a2) (fma.f64 (.f64 a1 a1) (/.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) #s(literal 1/2 binary64)))
(* (pow a2 2) (+ 1/2 (* 1/2 (/ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 a2 a2) (fma.f64 (.f64 a1 a1) (/.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) #s(literal 1/2 binary64)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(pow a2 2)
(*.f64 a2 a2)
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 a2 a2) (fma.f64 (neg.f64 a1) (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 a2 a2) (fma.f64 (neg.f64 a1) (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 a2 a2) (fma.f64 (neg.f64 a1) (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)))

rewrite508.0ms (4.2%)

Memory

30.6MiB live, 939.5MiB allocated

Rules

6 590×	`lower-*.f32`
6 550×	`lower-*.f64`
5 658×	`lower-fma.f32`
5 648×	`lower-fma.f64`
3 676×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	468
0	107	431
1	386	397
2	2870	377
0	9086	369

Stop Event

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

Counts

25 → 609

Calls

Call 1

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

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

eval175.0ms (1.4%)

Memory: 27.8MiB live, 446.0MiB allocated
Compiler: Compiled 40 392 to 2 434 computations (94% saved)

prune337.0ms (2.8%)

Memory

-56.3MiB live, 688.5MiB allocated

Pruning

42 alts after pruning (37 fresh and 5 done)

	Pruned	Kept	Total
New	1 374	19	1 393
Fresh	4	18	22
Picked	2	3	5
Done	0	2	2
Total	1 380	42	1 422

Accuracy

100.0%

Counts

1 422 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	0.8%	(/.f64 (/.f64 (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (.f64 a1 (neg.f64 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))
	12.2%	(/.f64 (/.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (/ 1 (cos th)) (fma.f64 th (.f64 th #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	0.9%	(/.f64 (.f64 (fma.f64 (.f64 a2 (.f64 a2 (.f64 a2 (.f64 a2 a2)))) a2 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))))
	0.9%	(/.f64 (.f64 (fma.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)) (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))))
	8.6%	(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))))
	69.2%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(approx (cos th) #s(literal 1 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))))
	69.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
	99.6%	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
	69.1%	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
	61.7%	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(approx (cos th) (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
	61.7%	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(approx (/ (cos th) (sqrt 2)) (fma.f64 #s(literal -1/2 binary64) (*.f64 th (/.f64 th (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))
	98.7%	(.f64 (/.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
	98.6%	(.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
	98.7%	#s(approx (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
	69.1%	#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) #s(approx (+ ( (* 1/2 (* th th)) -1/2) 1/2) #s(literal 1/2 binary64))))
	99.6%	#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))))
	98.7%	#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 a2 a2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
✓	99.6%	#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))))
	98.7%	#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* 1/2 (+ (* a2 a2) (* a1 a1))) (.f64 #s(literal 1/2 binary64) (.f64 a2 a2))))))
	14.0%	#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 #s(approx ( (sqrt 2) (+ (* a2 a2) (* a1 a1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
	61.5%	#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 #s(approx ( (sqrt 2) (+ (* a2 a2) (* a1 a1))) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
	61.5%	#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) #s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* (* 1/2 (* th th)) -1/2) 1/2)) (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 th th) #s(literal 1/2 binary64))))))
	14.0%	#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) #s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* (* 1/2 (* th th)) -1/2) 1/2)) (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 th th) #s(literal 1/2 binary64))))))
✓	69.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
	69.0%	#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)))))
	58.9%	#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)))))
	69.1%	#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))))
	37.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (* (cos th) (* a1 a1))) (.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
	43.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 (fma.f64 (.f64 a1 (.f64 a1 (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1)) (.f64 (.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))
	68.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
✓	13.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
	13.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
✓	13.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
	13.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))))
	13.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)))
	63.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 (/.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 a2 a2) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
	44.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 (.f64 a1 a2) (/.f64 a2 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
✓	43.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
	43.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
	57.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (/.f64 (fma.f64 (/.f64 (.f64 a1 (.f64 a2 a2)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
	63.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 #s(approx (+ ( a1 (/ (* a2 a2) (* (sqrt 2) (* a1 a1)))) (/ a1 (sqrt 2))) (fma.f64 a2 (/.f64 a2 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))))
	63.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 #s(approx (+ ( a1 (/ (* a2 a2) (* (sqrt 2) (* a1 a1)))) (/ a1 (sqrt 2))) (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))))

Compiler

Compiled 2 474 to 761 computations (69.2% saved)

regimes238.0ms (2%)

Memory

34.2MiB live, 382.5MiB allocated

Counts

84 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1)))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) #s(approx (+ ( (* 1/2 (* th th)) -1/2) 1/2) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/.f64 (fma.f64 a2 a2 (*.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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 #s(approx (+ ( a1 (/ (* a2 a2) (* (sqrt 2) (* a1 a1)))) (/ a1 (sqrt 2))) (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) #s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* (* 1/2 (* th th)) -1/2) 1/2)) (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 th th) #s(literal 1/2 binary64))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) #s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* (* 1/2 (* th th)) -1/2) 1/2)) (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 th th) #s(literal 1/2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 #s(approx ( (sqrt 2) (+ (* a2 a2) (* a1 a1))) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 #s(approx ( (sqrt 2) (+ (* a2 a2) (* a1 a1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(approx (cos th) (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(approx (cos th) #s(literal 1 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))))
(/.f64 (/.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (/ 1 (cos th)) (fma.f64 th (.f64 th #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (* (cos th) (* a1 a1))) (.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (/ 1 (cos th)) (fma.f64 th (.f64 th #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 #s(approx (+ ( a1 (/ (* a2 a2) (* (sqrt 2) (* a1 a1)))) (/ a1 (sqrt 2))) (fma.f64 a2 (/.f64 a2 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.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 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (/ 1 (cos th)) (fma.f64 (.f64 th th) (fma.f64 (*.f64 th th) #s(literal 5/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 (.f64 a1 a2) (/.f64 a2 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (/.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)) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(approx (/ (cos th) (sqrt 2)) (fma.f64 #s(literal -1/2 binary64) (*.f64 th (/.f64 th (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #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 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 (/.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 a2 a2) 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.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 (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))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (/.f64 (fma.f64 (/.f64 (.f64 a1 (.f64 a2 a2)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 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)) (.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)))))
(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)) (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 a2 (.f64 a2 (.f64 a2 (.f64 a2 a2)))) a2 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (.f64 a1 (neg.f64 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 (fma.f64 (.f64 a1 (.f64 a1 (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1)) (.f64 (.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* 1/2 (+ (* a2 a2) (* a1 a1))) (.f64 #s(literal 1/2 binary64) (.f64 a2 a2))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 a2 a2) (.f64 (cos.f64 th) (.f64 (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 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(/.f64 (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))))
#s(approx (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (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))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))))
(/.f64 (/.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(/.f64 (neg.f64 (fma.f64 a1 a1 (.f64 a2 a2))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.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))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( a1 (* a1 (cos th))) (*.f64 a1 a1)))) #s(literal 2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (.f64 (cos.f64 th) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.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 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(.f64 (fma.f64 (cos.f64 th) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1)))) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 (*.f64 a1 (cos.f64 th))))) #s(literal 2 binary64))
(fma.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th) (.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(+.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 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) #s(literal 2 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(/.f64 (/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))

Outputs

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

Calls

8 calls:

71.0ms	(*.f64 a1 a1)
29.0ms	a2
24.0ms	a1
23.0ms	(cos.f64 th)
23.0ms	th

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)

regimes154.0ms (1.3%)

Memory

-26.0MiB live, 268.7MiB allocated

Counts

53 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1)))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) #s(approx (+ ( (* 1/2 (* th th)) -1/2) 1/2) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/.f64 (fma.f64 a2 a2 (*.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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 #s(approx (+ ( a1 (/ (* a2 a2) (* (sqrt 2) (* a1 a1)))) (/ a1 (sqrt 2))) (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) #s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* (* 1/2 (* th th)) -1/2) 1/2)) (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 th th) #s(literal 1/2 binary64))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) #s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* (* 1/2 (* th th)) -1/2) 1/2)) (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 th th) #s(literal 1/2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 #s(approx ( (sqrt 2) (+ (* a2 a2) (* a1 a1))) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 #s(approx ( (sqrt 2) (+ (* a2 a2) (* a1 a1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(approx (cos th) (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(approx (cos th) #s(literal 1 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))))
(/.f64 (/.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (/ 1 (cos th)) (fma.f64 th (.f64 th #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (* (cos th) (* a1 a1))) (.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (/ 1 (cos th)) (fma.f64 th (.f64 th #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 #s(approx (+ ( a1 (/ (* a2 a2) (* (sqrt 2) (* a1 a1)))) (/ a1 (sqrt 2))) (fma.f64 a2 (/.f64 a2 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.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 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (/ 1 (cos th)) (fma.f64 (.f64 th th) (fma.f64 (*.f64 th th) #s(literal 5/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 (.f64 a1 a2) (/.f64 a2 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (/.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)) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(approx (/ (cos th) (sqrt 2)) (fma.f64 #s(literal -1/2 binary64) (*.f64 th (/.f64 th (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #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 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 (/.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 a2 a2) 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.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 (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))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (/.f64 (fma.f64 (/.f64 (.f64 a1 (.f64 a2 a2)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 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)) (.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)))))
(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)) (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 a2 (.f64 a2 (.f64 a2 (.f64 a2 a2)))) a2 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (.f64 a1 (neg.f64 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 (fma.f64 (.f64 a1 (.f64 a1 (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1)) (.f64 (.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* 1/2 (+ (* a2 a2) (* a1 a1))) (.f64 #s(literal 1/2 binary64) (.f64 a2 a2))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 a2 a2) (.f64 (cos.f64 th) (.f64 (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 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(/.f64 (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))))

Outputs

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

Calls

8 calls:

37.0ms	a1
23.0ms	(*.f64 a1 a1)
16.0ms	(*.f64 a2 a2)
16.0ms	a2
15.0ms	(cos.f64 th)

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)

regimes136.0ms (1.1%)

Memory

17.7MiB live, 249.0MiB allocated

Counts

52 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1)))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) #s(approx (+ ( (* 1/2 (* th th)) -1/2) 1/2) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/.f64 (fma.f64 a2 a2 (*.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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 #s(approx (+ ( a1 (/ (* a2 a2) (* (sqrt 2) (* a1 a1)))) (/ a1 (sqrt 2))) (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) #s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* (* 1/2 (* th th)) -1/2) 1/2)) (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 th th) #s(literal 1/2 binary64))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) #s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* (* 1/2 (* th th)) -1/2) 1/2)) (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 th th) #s(literal 1/2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 #s(approx ( (sqrt 2) (+ (* a2 a2) (* a1 a1))) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 #s(approx ( (sqrt 2) (+ (* a2 a2) (* a1 a1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(approx (cos th) (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(approx (cos th) #s(literal 1 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))))
(/.f64 (/.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (/ 1 (cos th)) (fma.f64 th (.f64 th #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (* (cos th) (* a1 a1))) (.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (/ 1 (cos th)) (fma.f64 th (.f64 th #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 #s(approx (+ ( a1 (/ (* a2 a2) (* (sqrt 2) (* a1 a1)))) (/ a1 (sqrt 2))) (fma.f64 a2 (/.f64 a2 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.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 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (/ 1 (cos th)) (fma.f64 (.f64 th th) (fma.f64 (*.f64 th th) #s(literal 5/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 (.f64 a1 a2) (/.f64 a2 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (/.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)) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(approx (/ (cos th) (sqrt 2)) (fma.f64 #s(literal -1/2 binary64) (*.f64 th (/.f64 th (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #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 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 (/.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 a2 a2) 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.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 (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))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (/.f64 (fma.f64 (/.f64 (.f64 a1 (.f64 a2 a2)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 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)) (.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)))))
(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)) (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 a2 (.f64 a2 (.f64 a2 (.f64 a2 a2)))) a2 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (.f64 a1 (neg.f64 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 (fma.f64 (.f64 a1 (.f64 a1 (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1)) (.f64 (.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* 1/2 (+ (* a2 a2) (* a1 a1))) (.f64 #s(literal 1/2 binary64) (.f64 a2 a2))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 a2 a2) (.f64 (cos.f64 th) (.f64 (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 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(/.f64 (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))

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

Calls

8 calls:

29.0ms	(*.f64 a1 a1)
18.0ms	a1
16.0ms	a2
15.0ms	th
15.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

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)

regimes139.0ms (1.1%)

Memory

-12.0MiB live, 235.4MiB allocated

Counts

47 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1)))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) #s(approx (+ ( (* 1/2 (* th th)) -1/2) 1/2) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/.f64 (fma.f64 a2 a2 (*.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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 #s(approx (+ ( a1 (/ (* a2 a2) (* (sqrt 2) (* a1 a1)))) (/ a1 (sqrt 2))) (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) #s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* (* 1/2 (* th th)) -1/2) 1/2)) (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 th th) #s(literal 1/2 binary64))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) #s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* (* 1/2 (* th th)) -1/2) 1/2)) (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 th th) #s(literal 1/2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 #s(approx ( (sqrt 2) (+ (* a2 a2) (* a1 a1))) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 #s(approx ( (sqrt 2) (+ (* a2 a2) (* a1 a1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(approx (cos th) (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(approx (cos th) #s(literal 1 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))))
(/.f64 (/.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (/ 1 (cos th)) (fma.f64 th (.f64 th #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (* (cos th) (* a1 a1))) (.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (/ 1 (cos th)) (fma.f64 th (.f64 th #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 #s(approx (+ ( a1 (/ (* a2 a2) (* (sqrt 2) (* a1 a1)))) (/ a1 (sqrt 2))) (fma.f64 a2 (/.f64 a2 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.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 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (/ 1 (cos th)) (fma.f64 (.f64 th th) (fma.f64 (*.f64 th th) #s(literal 5/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 (.f64 a1 a2) (/.f64 a2 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (/.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)) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(approx (/ (cos th) (sqrt 2)) (fma.f64 #s(literal -1/2 binary64) (*.f64 th (/.f64 th (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #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 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 (/.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 a2 a2) 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.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 (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))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (/.f64 (fma.f64 (/.f64 (.f64 a1 (.f64 a2 a2)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 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)) (.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)))))
(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)) (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 a2 (.f64 a2 (.f64 a2 (.f64 a2 a2)))) a2 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (.f64 a1 (neg.f64 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 (fma.f64 (.f64 a1 (.f64 a1 (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1)) (.f64 (.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* 1/2 (+ (* a2 a2) (* a1 a1))) (.f64 #s(literal 1/2 binary64) (.f64 a2 a2))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 a2 a2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))

Outputs

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

Calls

8 calls:

27.0ms	a2
27.0ms	(+.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)))
15.0ms	(*.f64 a2 a2)
14.0ms	a1
14.0ms	(cos.f64 th)

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)

regimes134.0ms (1.1%)

Memory

7.8MiB live, 238.8MiB allocated

Counts

46 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1)))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) #s(approx (+ ( (* 1/2 (* th th)) -1/2) 1/2) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/.f64 (fma.f64 a2 a2 (*.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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 #s(approx (+ ( a1 (/ (* a2 a2) (* (sqrt 2) (* a1 a1)))) (/ a1 (sqrt 2))) (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) #s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* (* 1/2 (* th th)) -1/2) 1/2)) (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 th th) #s(literal 1/2 binary64))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) #s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* (* 1/2 (* th th)) -1/2) 1/2)) (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 th th) #s(literal 1/2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 #s(approx ( (sqrt 2) (+ (* a2 a2) (* a1 a1))) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 #s(approx ( (sqrt 2) (+ (* a2 a2) (* a1 a1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(approx (cos th) (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(approx (cos th) #s(literal 1 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))))
(/.f64 (/.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (/ 1 (cos th)) (fma.f64 th (.f64 th #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (* (cos th) (* a1 a1))) (.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (/ 1 (cos th)) (fma.f64 th (.f64 th #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 #s(approx (+ ( a1 (/ (* a2 a2) (* (sqrt 2) (* a1 a1)))) (/ a1 (sqrt 2))) (fma.f64 a2 (/.f64 a2 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.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 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (/ 1 (cos th)) (fma.f64 (.f64 th th) (fma.f64 (*.f64 th th) #s(literal 5/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 (.f64 a1 a2) (/.f64 a2 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (/.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)) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(approx (/ (cos th) (sqrt 2)) (fma.f64 #s(literal -1/2 binary64) (*.f64 th (/.f64 th (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #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 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 (/.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 a2 a2) 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.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 (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))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (/.f64 (fma.f64 (/.f64 (.f64 a1 (.f64 a2 a2)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 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)) (.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)))))
(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)) (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 a2 (.f64 a2 (.f64 a2 (.f64 a2 a2)))) a2 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (.f64 a1 (neg.f64 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 (fma.f64 (.f64 a1 (.f64 a1 (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1)) (.f64 (.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* 1/2 (+ (* a2 a2) (* a1 a1))) (.f64 #s(literal 1/2 binary64) (.f64 a2 a2))))))

Outputs

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

Calls

8 calls:

36.0ms	a1
16.0ms	a2
15.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
14.0ms	(+.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)))
13.0ms	(cos.f64 th)

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)

regimes138.0ms (1.1%)

Memory

1.9MiB live, 281.4MiB allocated

Counts

45 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1)))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) #s(approx (+ ( (* 1/2 (* th th)) -1/2) 1/2) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/.f64 (fma.f64 a2 a2 (*.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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 #s(approx (+ ( a1 (/ (* a2 a2) (* (sqrt 2) (* a1 a1)))) (/ a1 (sqrt 2))) (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) #s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* (* 1/2 (* th th)) -1/2) 1/2)) (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 th th) #s(literal 1/2 binary64))))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) #s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* (* 1/2 (* th th)) -1/2) 1/2)) (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 th th) #s(literal 1/2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 #s(approx ( (sqrt 2) (+ (* a2 a2) (* a1 a1))) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 #s(approx ( (sqrt 2) (+ (* a2 a2) (* a1 a1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 th th)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(approx (cos th) (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(approx (cos th) #s(literal 1 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))))
(/.f64 (/.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (/ 1 (cos th)) (fma.f64 th (.f64 th #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (* (cos th) (* a1 a1))) (.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (/ 1 (cos th)) (fma.f64 th (.f64 th #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 #s(approx (+ ( a1 (/ (* a2 a2) (* (sqrt 2) (* a1 a1)))) (/ a1 (sqrt 2))) (fma.f64 a2 (/.f64 a2 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.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 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (/ 1 (cos th)) (fma.f64 (.f64 th th) (fma.f64 (*.f64 th th) #s(literal 5/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 (.f64 a1 a2) (/.f64 a2 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (/.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)) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(approx (/ (cos th) (sqrt 2)) (fma.f64 #s(literal -1/2 binary64) (*.f64 th (/.f64 th (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #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 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 (/.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 a2 a2) 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 (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (fma.f64 a1 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.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 (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))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (.f64 a1 (/.f64 (fma.f64 (/.f64 (.f64 a1 (.f64 a2 a2)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 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 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)) (.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)))))
(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)) (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 a2 (.f64 a2 (.f64 a2 (.f64 a2 a2)))) a2 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 a1)))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(approx (cos th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 a2 a2) #s(approx (- ( a2 a2) (* a1 a1)) (.f64 a1 (neg.f64 a1))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 (fma.f64 (.f64 a1 (.f64 a1 (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1)) (.f64 (.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))

Outputs

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

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

Calls

8 calls:

43.0ms	(*.f64 a1 a1)
14.0ms	th
14.0ms	a2
14.0ms	(cos.f64 th)
13.0ms	a1

Results

Accuracy	Segments	Branch
69.2%	1	`a2`
78.7%	2	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
78.7%	2	`(cos.f64 th)`
69.2%	1	`(*.f64 a2 a2)`
69.2%	1	`a1`
69.2%	1	`th`
79.2%	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)))`
69.2%	1	`(*.f64 a1 a1)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes15.0ms (0.1%)

Memory

2.1MiB live, 39.6MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

6.0ms

(cos.f64 th)

4.0ms

(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

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)))

Results

Accuracy	Segments	Branch
73.9%	2	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
73.9%	2	`(cos.f64 th)`
74.5%	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 35 to 23 computations (34.3% saved)

regimes39.0ms (0.3%)

Memory

-3.2MiB live, 83.4MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

8 calls:

10.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
6.0ms	a2
4.0ms	th
4.0ms	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)))

Results

Accuracy	Segments	Branch
69.2%	1	`a1`
69.2%	1	`a2`
69.2%	1	`th`
69.2%	1	`(*.f64 a1 a1)`
69.2%	1	`(*.f64 a2 a2)`
69.2%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
69.2%	1	`(cos.f64 th)`
69.2%	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 59 to 40 computations (32.2% saved)

regimes29.0ms (0.2%)

Memory

2.7MiB live, 77.5MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

8 calls:

5.0ms	th
5.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
3.0ms	a1
3.0ms	a2
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)))

Results

Accuracy	Segments	Branch
69.1%	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)))`
69.1%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
69.1%	1	`(cos.f64 th)`
69.1%	1	`a1`
69.1%	1	`a2`
69.1%	1	`th`
69.1%	1	`(*.f64 a1 a1)`
69.1%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes24.0ms (0.2%)

Memory

-14.0MiB live, 68.0MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

6.0ms	a2
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)))
2.0ms	a1
2.0ms	th
2.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
68.9%	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)))`
68.9%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
68.9%	1	`(cos.f64 th)`
68.9%	1	`a1`
68.9%	1	`a2`
68.9%	1	`th`
68.9%	1	`(*.f64 a1 a1)`
68.9%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes14.0ms (0.1%)

Memory

4.3MiB live, 43.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs

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

Calls

8 calls:

2.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
2.0ms	(+.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)))
2.0ms	a1
2.0ms	a2
2.0ms	th

Results

Accuracy	Segments	Branch
13.4%	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)))`
13.4%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
13.4%	1	`(cos.f64 th)`
13.4%	1	`a2`
13.4%	1	`(*.f64 a2 a2)`
13.4%	1	`a1`
13.4%	1	`th`
13.4%	1	`(*.f64 a1 a1)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.8900448425583735e-241	-4.575620072244549e-281

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.4006148348723028e-107	-1.561322711650032e-109

Compiler

Compiled 25 to 18 computations (28% saved)

simplify9.0ms (0.1%)

Memory

26.4MiB live, 26.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	521
1	116	521

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 a2 a2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* 1/2 (+ (* a2 a2) (* a1 a1))) (.f64 #s(literal 1/2 binary64) (.f64 a2 a2))))))
(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 -375375841440235/938439603600587528746394711938657107663969949193687942084737423845328945327403963493426274822541422606069252398088182827397836333287780407720182613329988145004965865323862822167078543736143176539997470989737828269291292380585577139908076735904949708259328 binary64)) #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) #s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* (* 1/2 (* th th)) -1/2) 1/2)) (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 th th) #s(literal 1/2 binary64)))))) #s(approx (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (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 -3305279843951243/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) #s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* (* 1/2 (* th th)) -1/2) 1/2)) (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 th th) #s(literal 1/2 binary64)))))) #s(approx (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))

Outputs
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 a2 a2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (.f64 a2 a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* 1/2 (+ (* a2 a2) (* a1 a1))) (.f64 #s(literal 1/2 binary64) (.f64 a2 a2))))))
(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 -375375841440235/938439603600587528746394711938657107663969949193687942084737423845328945327403963493426274822541422606069252398088182827397836333287780407720182613329988145004965865323862822167078543736143176539997470989737828269291292380585577139908076735904949708259328 binary64)) #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) #s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* (* 1/2 (* th th)) -1/2) 1/2)) (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 th th) #s(literal 1/2 binary64)))))) #s(approx (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
(if (<=.f64 (+.f64 (.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))))) #s(literal -375375841440235/938439603600587528746394711938657107663969949193687942084737423845328945327403963493426274822541422606069252398088182827397836333287780407720182613329988145004965865323862822167078543736143176539997470989737828269291292380585577139908076735904949708259328 binary64)) #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) #s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* (* 1/2 (* th th)) -1/2) 1/2)) (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 th th) #s(literal 1/2 binary64)))))) #s(approx (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (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 -3305279843951243/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) #s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* (* 1/2 (* th th)) -1/2) 1/2)) (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 th th) #s(literal 1/2 binary64)))))) #s(approx (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
(if (<=.f64 (+.f64 (.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))))) #s(literal -3305279843951243/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) #s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) #s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (+ (* (* 1/2 (* th th)) -1/2) 1/2)) (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 th th) #s(literal 1/2 binary64)))))) #s(approx (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* a2 a2) (cos th)) (sqrt 2)) (* (sqrt 2) (* a1 (* a1 (cos th))))) 2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a2 (/ a2 (sqrt 2))) (/ (* a1 a1) (sqrt 2))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))

soundness1.8s (14.5%)

Memory

-20.0MiB live, 1 489.9MiB allocated

Rules

34 694×	`lower-fma.f64`
34 694×	`lower-fma.f32`
17 092×	`lower-fma.f64`
17 092×	`lower-fma.f32`
13 334×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	355	9427
1	1251	8974
2	5044	8718
0	8330	8252
0	12	44
0	20	38
1	58	38
2	411	38
3	7331	38
0	8434	37
0	358	8422
1	1236	7720
2	4745	7466
0	8124	7065
0	111	1498
1	343	1366
2	1206	1262
3	3900	1233
0	8428	1172
0	56	338
0	94	308
1	340	260
2	2441	254
0	8489	251
0	45	317
0	76	256
1	292	231
2	2202	227
0	8299	227
0	66	468
0	107	431
1	386	397
2	2870	377
0	9086	369
0	390	8120
1	1361	7702
2	5339	7402
0	8638	7008

Stop Event

1×	fuel
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
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

Compiler

Compiled 704 to 369 computations (47.6% saved)

preprocess102.0ms (0.8%)

Memory

26.2MiB live, 227.0MiB allocated

Remove

(abs a2)

(sort a1 a2)

(abs a1)

(abs th)

Compiler

Compiled 984 to 472 computations (52% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (10.9%)

explain138.0ms (1.1%)

preprocess138.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0%)

localize45.0ms (0.4%)

series21.0ms (0.2%)

simplify390.0ms (3.2%)

rewrite584.0ms (4.8%)

eval58.0ms (0.5%)

prune115.0ms (1%)

simplify232.0ms (1.9%)

localize190.0ms (1.6%)

series103.0ms (0.8%)

simplify314.0ms (2.6%)

rewrite1.2s (9.9%)

eval300.0ms (2.5%)

prune265.0ms (2.2%)

simplify231.0ms (1.9%)

localize148.0ms (1.2%)

series85.0ms (0.7%)

simplify306.0ms (2.5%)

rewrite571.0ms (4.7%)

eval233.0ms (1.9%)

prune189.0ms (1.6%)

simplify285.0ms (2.4%)

localize194.0ms (1.6%)

series92.0ms (0.8%)

simplify421.0ms (3.5%)

rewrite508.0ms (4.2%)

eval175.0ms (1.4%)

prune337.0ms (2.8%)

regimes238.0ms (2%)

regimes154.0ms (1.3%)

regimes136.0ms (1.1%)

regimes139.0ms (1.1%)

regimes134.0ms (1.1%)

regimes138.0ms (1.1%)

regimes15.0ms (0.1%)

regimes39.0ms (0.3%)

regimes29.0ms (0.2%)

regimes24.0ms (0.2%)

regimes14.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness1.8s (14.5%)

preprocess102.0ms (0.8%)

end0.0ms (0%)

Profiling