Metrics for Migdal et al, Equation (64)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample1.1s (10.8%)

Memory

13.4MiB live, 1 540.6MiB allocated

Samples

829.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 572.0ms

ival-cos: 207.0ms (36.2% of total)

ival-mult: 202.0ms (35.3% of total)

ival-sqrt: 64.0ms (11.2% of total)

ival-div: 48.0ms (8.4% of total)

ival-add: 36.0ms (6.3% of total)

ival-true: 6.0ms (1% of total)

exact: 6.0ms (1% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain140.0ms (1.3%)

Memory

-7.8MiB live, 229.4MiB allocated

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`a1`
0	-	-	`(*.f64 a1 a1)`
0	-	-	`(sqrt.f64 #s(literal 2 binary64))`
0	-	-	`th`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
0	-	-	`(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))`
17	(-4.006762517239271e+195 4.492382882944087e+296 -1.7432466781320397e-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)))`
0	-	-	`(*.f64 a2 a2)`
0	-	-	`(cos.f64 th)`
0	-	-	`(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))`
0	-	-	`a2`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.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)))`	nan-rescue	17	0
↳	`(*.f64 a1 a1)`	overflow	58
↳	`(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))`	overflow	58
↳	`(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))`	overflow	56
↳	`(*.f64 a2 a2)`	overflow	56

Confusion

	Predicted +	Predicted -
+	0	0
-	17	239

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	17	0	239

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	239
1	17

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

54.0ms

512×

valid

Compiler

Compiled 197 to 69 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 14.0ms (39.3% of total)

ival-cos: 11.0ms (30.9% of total)

ival-div: 4.0ms (11.2% of total)

ival-sqrt: 4.0ms (11.2% of total)

ival-add: 2.0ms (5.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess144.0ms (1.4%)

Memory

16.4MiB live, 55.0MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(+.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 (0.1%)

Memory

10.4MiB live, 10.4MiB 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 (.f64 a1 (.f64 (cos.f64 th) 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 a2 (.f64 (cos.f64 th) a2)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 a2 a2)
a2

localize40.0ms (0.4%)

Memory

-13.3MiB live, 63.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 th)
accuracy	0.15691376953688402	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
accuracy	0.1640625	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
accuracy	0.732753759768442	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Samples

27.0ms

256×

valid

Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-cos: 5.0ms (28.3% of total)

ival-mult: 5.0ms (28.3% of total)

ival-sqrt: 3.0ms (17% of total)

ival-div: 2.0ms (11.3% of total)

ival-add: 1.0ms (5.7% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.1%)

Memory

22.9MiB live, 22.9MiB allocated

Counts

5 → 108

Calls

Call 1

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

Outputs
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<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))))>
#<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))))>
#<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))))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))>
#<alt (+ (* (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)))>
#<alt (+ (* (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)))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ 1 (sqrt 2))>
#<alt (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))>
#<alt (+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))>
#<alt (+ (* (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)))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow th 2)))>
#<alt (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))>
#<alt (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (* (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)))>
#<alt (+ (* (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)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	th	@	inf	(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
2.0ms	th	@	-inf	(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
2.0ms	th	@	-inf	(/ (cos th) (sqrt 2))
1.0ms	a1	@	0	(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
1.0ms	th	@	0	(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))

simplify671.0ms (6.3%)

Memory

-41.5MiB live, 848.9MiB 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	1205	1262
3	3898	1233
0	8422	1172

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

rewrite294.0ms (2.8%)

Memory

23.7MiB live, 489.3MiB 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)))))
(-.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))) (.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))))
(-.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 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.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 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(fma.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(fma.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))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1) (/.f64 (.f64 (cos.f64 th) (*.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 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (.f64 a1 a1) (.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 (+.f64 a1 a2) (-.f64 a1 a2)))) (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)))))
(fma.f64 a1 (/.f64 (.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (cos.f64 th) (*.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 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 a1 a1) (/.f64 (.f64 (.f64 a1 a1) (/.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 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (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)))))
(fma.f64 (.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (.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 (+.f64 a1 a2) (-.f64 a1 a2)))) (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)))))
(fma.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (neg.f64 (cos.f64 th)) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (neg.f64 (cos.f64 th)) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (neg.f64 (cos.f64 th)) (/.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (neg.f64 (cos.f64 th)) (/.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(fma.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 (/.f64 #s(literal 1 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)))))
(fma.f64 #s(literal 1 binary64) (.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))))
(fma.f64 #s(literal 1 binary64) (/.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))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) (.f64 a1 a1)) (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (/.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) a2 (.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (/.f64 (.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (.f64 a1 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (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)))))
(fma.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (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 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 a2 a2) (neg.f64 (cos.f64 th))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(fma.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) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (/.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 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (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)))))
(fma.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 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (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)))))
(fma.f64 (.f64 (.f64 a1 a1) (/.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 (.f64 a1 a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (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)))))
(fma.f64 (.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (.f64 (.f64 a1 a1) (.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 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (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 (/.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)))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) (.f64 a2 a2))))) #s(literal 2 binary64))
(.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 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))))) (fma.f64 (.f64 (.f64 a2 a2) (/.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))) (fma.f64 a1 a1 (.f64 a2 a2)) (.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 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) #s(literal 1 binary64)))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (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 a1 a1)))))
(/.f64 (.f64 (.f64 a1 a1) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(/.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 a1 a1) #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (cos.f64 th))))
(/.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (cos.f64 th))))
(/.f64 (neg.f64 (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (cos.f64 th))))
(/.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))))

eval53.0ms (0.5%)

Memory: 28.7MiB live, 103.9MiB allocated
Compiler: Compiled 14 708 to 1 018 computations (93.1% saved)

prune82.0ms (0.8%)

Memory

-32.4MiB live, 142.8MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	470	20	490
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	471	20	491

Accuracy

100.0%

Counts

491 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) a2 (.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
	99.6%	(fma.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
	99.6%	(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
	99.5%	(/.f64 (/.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)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
	14.4%	(/.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)))))
	14.5%	(/.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))))
	14.5%	(/.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(literal 1 binary64)) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
	25.9%	(/.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)))
	25.9%	(/.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))))
	99.2%	(/.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 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.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 a2 a2)))
▶	39.0%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th)) (fma.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))))
▶	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))
	99.5%	(.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))
▶	66.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
	99.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
▶	46.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (.f64 a1 a1) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
	62.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 th (.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
	59.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.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))))

Compiler

Compiled 1 078 to 574 computations (46.8% saved)

simplify282.0ms (2.6%)

Memory

23.8MiB live, 377.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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	128	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th)) (fma.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))))
cost-diff	1664	(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th)) (fma.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
cost-diff	0	(*.f64 a1 a1)
cost-diff	0	(/.f64 (.f64 (.f64 a1 a1) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (cos.f64 th))) (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 (.f64 a1 a1) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	1344	(.f64 (.f64 a1 a1) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (cos.f64 th)))
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	0	(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 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 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	0	(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(cos.f64 th)
cost-diff	0	(.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))
cost-diff	7680	(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))))

Rules

9 366×	`lower-fma.f32`
9 352×	`lower-fma.f64`
4 090×	`lower-*.f32`
4 062×	`lower-*.f64`
3 632×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	496
0	86	476
1	164	472
2	411	452
3	1475	452
4	3611	446
5	6581	440
6	7573	440
0	8203	436

Stop Event

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

Calls

Call 1

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

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

localize221.0ms (2.1%)

Memory

-13.3MiB live, 189.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.732753759768442	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
accuracy	4.566356706900084	(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th)) (fma.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
accuracy	16.580549331076345	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th))
accuracy	25.14888169441971	#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th)) (fma.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
accuracy	0.25	(/.f64 (.f64 (.f64 a1 a1) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
accuracy	6.08617831381736	(fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))
accuracy	7.704235479081635	(/.f64 a2 (*.f64 a1 a1))
accuracy	26.737859099358804	(.f64 (.f64 a1 a1) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (cos.f64 th)))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0	(cos.f64 th)
accuracy	0.078125	(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
accuracy	0.236660009768442	(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.23666000976844204	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.4375	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
accuracy	21.298785168743716	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0.05078125	(.f64 (cos.f64 th) (.f64 a1 a1))
accuracy	0.078125	(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))))
accuracy	0.18359375	(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (*.f64 a1 a1)))
accuracy	0.23341752930532605	(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))

Samples

124.0ms

256×

valid

Compiler

Compiled 427 to 49 computations (88.5% saved)

Precisions

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

ival-mult: 28.0ms (45.8% of total)

ival-div: 10.0ms (16.4% of total)

ival-add: 8.0ms (13.1% of total)

const: 8.0ms (13.1% of total)

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

ival-sqrt: 2.0ms (3.3% of total)

exact: 1.0ms (1.6% of total)

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

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

series50.0ms (0.5%)

Memory

12.8MiB live, 50.3MiB allocated

Counts

27 → 636

Calls

Call 1

Inputs
#<alt (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))))>
#<alt (.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))>
#<alt (cos.f64 th)>
#<alt (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))>
#<alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))>
#<alt (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (fma.f64 a1 a1 (*.f64 a2 a2))>
#<alt (*.f64 a2 a2)>
#<alt (.f64 (.f64 a1 a1) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (cos.f64 th)))>
#<alt #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (.f64 a1 a1) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (.f64 (.f64 a1 a1) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 a1 a1)>
#<alt (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th)) (fma.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))>
#<alt (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th)) (fma.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))))>
#<alt (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))>
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (*.f64 a1 a1)))>
#<alt (.f64 (cos.f64 th) (.f64 a1 a1))>
#<alt (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 a2 (*.f64 a1 a1))>
#<alt (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))>
#<alt #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th)) (fma.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))>
#<alt (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th))>

Outputs
#<alt (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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))))))))))>
#<alt (+ (* (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)))))))))))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 2)))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 2)))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))>
#<alt (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))>
#<alt (+ (* 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)))))>
#<alt (+ (* 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))))))))>
#<alt (+ (* 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))))))))))>
#<alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))>
#<alt (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))>
#<alt (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))>
#<alt (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow th 2)))>
#<alt (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))>
#<alt (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (* (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (sqrt 2))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<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))))>
#<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))))>
#<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))))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (/ (pow a2 2) (sqrt 2))>
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#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)) (sqrt 2))))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (* (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)))>
#<alt (+ (* (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)))>
#<alt (* -1/720 (/ (* (pow a2 2) (pow th 6)) (sqrt 2)))>
#<alt (* (pow th 6) (+ (* -1/720 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (* (pow th 2) (sqrt 2))))))>
#<alt (* (pow th 6) (+ (* -1/2 (/ (pow a2 2) (* (pow th 4) (sqrt 2)))) (+ (* -1/720 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))))>
#<alt (* (pow th 6) (+ (* -1/2 (/ (pow a2 2) (* (pow th 4) (sqrt 2)))) (+ (* -1/720 (/ (pow a2 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (* (pow th 2) (sqrt 2)))) (/ (pow a2 2) (* (pow th 6) (sqrt 2)))))))>
#<alt (* -1/720 (/ (* (pow a2 2) (pow th 6)) (sqrt 2)))>
#<alt (* (pow th 6) (+ (* -1/720 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (* (pow th 2) (sqrt 2))))))>
#<alt (* (pow th 6) (+ (* -1/2 (/ (pow a2 2) (* (pow th 4) (sqrt 2)))) (+ (* -1/720 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))))>
#<alt (* (pow th 6) (+ (* -1/2 (/ (pow a2 2) (* (pow th 4) (sqrt 2)))) (+ (* -1/720 (/ (pow a2 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (* (pow th 2) (sqrt 2)))) (/ (pow a2 2) (* (pow th 6) (sqrt 2)))))))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<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))))>
#<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))))>
#<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))))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
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#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))>
#<alt (+ (* (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)))>
#<alt (+ (* (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)))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ 1 (sqrt 2))>
#<alt (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))>
#<alt (+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))>
#<alt (+ (* (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)))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (* (pow a1 2) (sqrt 2))>
#<alt (+ (* -1/2 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* (pow a1 2) (sqrt 2)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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))))))))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 2)))>
#<alt (pow a1 2)>
#<alt (+ (* -1/2 (* (pow a1 2) (pow th 2))) (pow a1 2))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* 1/24 (* (pow a1 2) (pow th 2))))) (pow a1 2))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* 1/24 (pow a1 2)))))) (pow a1 2))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt 1>
#<alt (+ 1 (/ (pow a2 2) (pow a1 2)))>
#<alt (+ 1 (/ (pow a2 2) (pow a1 2)))>
#<alt (+ 1 (/ (pow a2 2) (pow a1 2)))>
#<alt (/ (pow a2 2) (pow a1 2))>
#<alt (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))>
#<alt (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))>
#<alt (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))>
#<alt (/ (pow a2 2) (pow a1 2))>
#<alt (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))>
#<alt (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))>
#<alt (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))>
#<alt (/ (pow a2 2) (pow a1 2))>
#<alt (/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))>
#<alt (/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))>
#<alt (/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))>
#<alt 1>
#<alt (+ 1 (/ (pow a2 2) (pow a1 2)))>
#<alt (+ 1 (/ (pow a2 2) (pow a1 2)))>
#<alt (+ 1 (/ (pow a2 2) (pow a1 2)))>
#<alt 1>
#<alt (+ 1 (/ (pow a2 2) (pow a1 2)))>
#<alt (+ 1 (/ (pow a2 2) (pow a1 2)))>
#<alt (+ 1 (/ (pow a2 2) (pow a1 2)))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (* (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)))>
#<alt (+ (* (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)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (pow th 2)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (pow th 2)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (pow th 2)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (pow th 2)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (pow th 2)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (pow th 2)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (pow th 2)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (pow th 2)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (pow th 2)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (pow th 2)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (pow th 2)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (pow th 2)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (pow th 2)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (pow th 2)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (pow th 2)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (pow th 2)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (pow th 2)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (pow th 2)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (pow th 2)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (pow th 2)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (pow th 2)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (pow th 2)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (pow th 2)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (pow th 2)) (sqrt 2))>

Calls

159 calls:

Time	Variable		Point	Expression
9.0ms	a1	@	inf	(* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (cos th))
2.0ms	a2	@	0	(+ (* a2 (/ a2 (sqrt 2))) (* (* (/ (* a2 a2) (sqrt 2)) (* th th)) (+ (* th (* th (+ (* (* th th) -1/720) 1/24))) -1/2)))
1.0ms	th	@	inf	(* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th)))
1.0ms	th	@	0	(+ (* (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1))))
1.0ms	a2	@	inf	(* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th)))

simplify593.0ms (5.6%)

Memory

-55.0MiB live, 576.6MiB allocated

Algorithm

1×	egg-herbie

Rules

19 286×	`lower-fma.f64`
19 286×	`lower-fma.f32`
6 778×	`lower-*.f64`
6 778×	`lower-*.f32`
5 504×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	309	9445
1	1049	8831
2	4041	8164
0	8184	7702

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 636

Calls

Call 1

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

Outputs
(+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2)))
(+ (* (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)))))))
(.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))))
(+ (* (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))))))))))
(fma.f64 (.f64 th th) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) (fma.f64 th (.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* (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)))))))))))))
(fma.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) (.f64 (.f64 th th) (.f64 (.f64 th th) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(.f64 (.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (.f64 a2 (cos.f64 th)))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (.f64 a2 (cos.f64 th)))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (.f64 a2 (cos.f64 th)))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (.f64 a2 (cos.f64 th)))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (.f64 a2 (cos.f64 th)))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (.f64 a2 (cos.f64 th)))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(.f64 (.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(* (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 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(* (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 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(* (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 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(.f64 (.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(* (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 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(* (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 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(* (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 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* 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)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) (fma.f64 (.f64 (*.f64 th th) #s(literal 1/2 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 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))))))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 th th) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) (fma.f64 th (.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2)))))
(+ (* 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))))))))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) (fma.f64 (.f64 (.f64 th th) #s(literal 1/2 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 th th) (.f64 (.f64 th th) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) (fma.f64 (.f64 (*.f64 th th) #s(literal 1/2 binary64)) #s(literal -1/720 binary64) #s(literal 1/48 binary64))))))
(* 1/2 (+ (* (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)) (.f64 #s(literal 1/2 binary64) (fma.f64 a1 a1 (.f64 a2 a2)))))
(* 1/2 (+ (* (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)) (.f64 #s(literal 1/2 binary64) (fma.f64 a1 a1 (.f64 a2 a2)))))
(* 1/2 (+ (* (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)) (.f64 #s(literal 1/2 binary64) (fma.f64 a1 a1 (.f64 a2 a2)))))
(* 1/2 (+ (* (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)) (.f64 #s(literal 1/2 binary64) (fma.f64 a1 a1 (.f64 a2 a2)))))
(* 1/2 (+ (* (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)) (.f64 #s(literal 1/2 binary64) (fma.f64 a1 a1 (.f64 a2 a2)))))
(* 1/2 (+ (* (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)) (.f64 #s(literal 1/2 binary64) (fma.f64 a1 a1 (.f64 a2 a2)))))
(* 1/2 (+ (* (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)) (.f64 #s(literal 1/2 binary64) (fma.f64 a1 a1 (.f64 a2 a2)))))
(* 1/2 (+ (* (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)) (.f64 #s(literal 1/2 binary64) (fma.f64 a1 a1 (.f64 a2 a2)))))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(.f64 (.f64 a1 (.f64 a1 (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 a1 a1 (.f64 a2 a2)))))
(+ (* 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 a1 a1 (.f64 a2 a2)))))
(+ (* 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 a1 a1 (.f64 a2 a2)))))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (.f64 a2 (.f64 a2 (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 #s(literal 1/2 binary64) (fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
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(fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))
(+ 1 (/ (pow a2 2) (pow a1 2)))
(fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))
(+ 1 (/ (pow a2 2) (pow a1 2)))
(fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))
(/ (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) (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) (pow a1 2))
(/.f64 (.f64 a2 a2) (.f64 a1 a1))
(/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))
(/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 a1 a1))
(/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))
(/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 a1 a1))
(/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))
(/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 a1 a1))
1
#s(literal 1 binary64)
(+ 1 (/ (pow a2 2) (pow a1 2)))
(fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))
(+ 1 (/ (pow a2 2) (pow a1 2)))
(fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))
(+ 1 (/ (pow a2 2) (pow a1 2)))
(fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (/ (pow a2 2) (pow a1 2)))
(fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))
(+ 1 (/ (pow a2 2) (pow a1 2)))
(fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))
(+ 1 (/ (pow a2 2) (pow a1 2)))
(fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))
(/ (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)))
(fma.f64 (.f64 th th) (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 th (.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 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 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 (.f64 th th) (*.f64 th 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 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))
(/.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))
(/.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))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (pow th 2)) (sqrt 2))
(/.f64 (.f64 (.f64 (*.f64 th th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (pow th 2)) (sqrt 2))
(/.f64 (.f64 (.f64 (*.f64 th th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (pow th 2)) (sqrt 2))
(/.f64 (.f64 (.f64 (*.f64 th th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (pow th 2)) (sqrt 2))
(/.f64 (.f64 (.f64 (*.f64 th th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (pow th 2)) (sqrt 2))
(/.f64 (.f64 (.f64 (*.f64 th th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (pow th 2)) (sqrt 2))
(/.f64 (.f64 (.f64 (*.f64 th th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (pow th 2)) (sqrt 2))
(/.f64 (.f64 (.f64 (*.f64 th th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (pow th 2)) (sqrt 2))
(/.f64 (.f64 (.f64 (*.f64 th th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (pow th 2)) (sqrt 2))
(/.f64 (.f64 (.f64 (*.f64 th th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (pow th 2)) (sqrt 2))
(/.f64 (.f64 (.f64 (*.f64 th th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (pow th 2)) (sqrt 2))
(/.f64 (.f64 (.f64 (*.f64 th th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (pow th 2)) (sqrt 2))
(/.f64 (.f64 (.f64 (*.f64 th th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (pow th 2)) (sqrt 2))
(/.f64 (.f64 (.f64 (*.f64 th th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (pow th 2)) (sqrt 2))
(/.f64 (.f64 (.f64 (*.f64 th th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (pow th 2)) (sqrt 2))
(/.f64 (.f64 (.f64 (*.f64 th th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (pow th 2)) (sqrt 2))
(/.f64 (.f64 (.f64 (*.f64 th th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (pow th 2)) (sqrt 2))
(/.f64 (.f64 (.f64 (*.f64 th th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (pow th 2)) (sqrt 2))
(/.f64 (.f64 (.f64 (*.f64 th th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (pow th 2)) (sqrt 2))
(/.f64 (.f64 (.f64 (*.f64 th th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (pow th 2)) (sqrt 2))
(/.f64 (.f64 (.f64 (*.f64 th th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (pow th 2)) (sqrt 2))
(/.f64 (.f64 (.f64 (*.f64 th th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (pow th 2)) (sqrt 2))
(/.f64 (.f64 (.f64 (*.f64 th th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (pow th 2)) (sqrt 2))
(/.f64 (.f64 (.f64 (*.f64 th th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (pow th 2)) (sqrt 2))
(/.f64 (.f64 (.f64 (*.f64 th th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))

rewrite530.0ms (5%)

Memory

19.6MiB live, 558.2MiB allocated

Rules

6 278×	`lower-*.f32`
6 250×	`lower-*.f64`
5 144×	`lower-fma.f32`
5 130×	`lower-fma.f64`
3 574×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	372
0	86	358
1	322	346
2	2466	342
0	8556	339

Stop Event

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

Counts

27 → 1 003

Calls

Call 1

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

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

eval273.0ms (2.6%)

Memory: 39.6MiB live, 497.9MiB allocated
Compiler: Compiled 76 398 to 3 930 computations (94.9% saved)

prune227.0ms (2.1%)

Memory

-2.5MiB live, 446.6MiB allocated

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	1 866	24	1 890
Fresh	14	1	15
Picked	5	0	5
Done	0	0	0
Total	1 885	25	1 910

Accuracy

100.0%

Counts

1 910 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(.f64 (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)))) #s(literal 1/2 binary64))
	99.5%	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
	60.4%	(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (cos th) (fma.f64 (.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)) #s(literal 1 binary64))))
	59.5%	(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (cos th) (fma.f64 (.f64 th th) (fma.f64 th (.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	62.5%	(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	62.5%	(.f64 #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))))) #s(literal 1/2 binary64))
	66.6%	(.f64 #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2)))) #s(literal 1/2 binary64))
	99.6%	(.f64 #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))) #s(literal 1/2 binary64))
▶	99.3%	(.f64 #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))) #s(literal 1/2 binary64))
	66.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
	66.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
	66.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
	66.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
	66.5%	#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 a2 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
	58.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a1)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
	16.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64)))))
	99.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
	99.2%	#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))))
▶	31.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64))))
	62.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))))
	66.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2))))
▶	32.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (sqrt 2)) (.f64 (.f64 a1 a1) (/.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
	66.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a1 (/ a1 (sqrt 2))) (/ (* a2 a2) (sqrt 2))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
▶	16.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a1 (/ a1 (sqrt 2))) (/ (* a2 a2) (sqrt 2))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
	99.6%	#s(approx (* (+ (* (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) 1/2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a1 a1 (.f64 a2 a2))))))

Compiler

Compiled 978 to 580 computations (40.7% saved)

simplify336.0ms (3.1%)

Memory

-2.4MiB live, 470.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

13 848×	`lower-fma.f32`
13 842×	`lower-fma.f64`
4 028×	`lower-*.f32`
4 000×	`lower-*.f64`
2 612×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	564
0	95	542
1	173	522
2	350	522
3	969	462
4	2190	453
5	5116	453
6	6418	453
7	6970	453
8	7544	453
9	7625	453
10	7680	453
0	8200	431

Stop Event

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

Calls

Call 1

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

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

localize141.0ms (1.3%)

Memory

-10.4MiB live, 302.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0703125	(*.f64 a2 (cos.f64 th))
accuracy	0.078125	(.f64 a2 (.f64 a2 (cos.f64 th)))
accuracy	0.19489980450968028	#s(approx (+ (* (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th)))))
accuracy	0.22951127930532605	(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))
accuracy	6.086178313817361	(fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))
accuracy	7.704235479081634	(/.f64 a2 (*.f64 a1 a1))
accuracy	25.019569673882803	#s(approx (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))))
accuracy	26.345689767455365	(.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))
accuracy	6.086178313817361	(fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))
accuracy	7.704235479081634	(/.f64 a2 (*.f64 a1 a1))
accuracy	21.298785168743716	#s(approx (/ (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (sqrt 2)) (.f64 (.f64 a1 a1) (/.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
accuracy	26.340969015775855	(.f64 (.f64 a1 a1) (/.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.21484375	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
accuracy	21.298785168743716	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a1 (/ a1 (sqrt 2))) (/ (* a2 a2) (sqrt 2))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
accuracy	52.000021561567735	#s(approx (+ (* a1 (/ a1 (sqrt 2))) (/ (* a2 a2) (sqrt 2))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.05078125	(.f64 (cos.f64 th) (.f64 a1 a1))
accuracy	0.15691376953688402	(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))))
accuracy	0.18359375	(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (*.f64 a1 a1)))
accuracy	0.1875	(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Samples

80.0ms

256×

valid

Compiler

Compiled 401 to 48 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 33.0ms (57.5% of total)

ival-div: 10.0ms (17.4% of total)

ival-add: 6.0ms (10.5% of total)

ival-cos: 6.0ms (10.5% of total)

ival-sqrt: 2.0ms (3.5% of total)

exact: 1.0ms (1.7% of total)

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

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

series26.0ms (0.2%)

Memory

10.6MiB live, 49.2MiB allocated

Counts

25 → 648

Calls

Call 1

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

Outputs
#<alt (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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))))))))))>
#<alt (+ (* (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)))))))))))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 2)))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 2)))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))>
#<alt (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))>
#<alt (+ (* 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)))))>
#<alt (+ (* 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))))))))>
#<alt (+ (* 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))))))))))>
#<alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))>
#<alt (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))>
#<alt (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))>
#<alt (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -1/2 (* (pow th 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow th 2) (+ (* -1/2 (sqrt 2)) (* 1/24 (* (pow th 2) (sqrt 2))))))>
#<alt (+ (sqrt 2) (* (pow th 2) (+ (* -1/2 (sqrt 2)) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (sqrt 2))) (* 1/24 (sqrt 2)))))))>
#<alt (* (cos th) (sqrt 2))>
#<alt (* (cos th) (sqrt 2))>
#<alt (* (cos th) (sqrt 2))>
#<alt (* (cos th) (sqrt 2))>
#<alt (* (cos th) (sqrt 2))>
#<alt (* (cos th) (sqrt 2))>
#<alt (* (cos th) (sqrt 2))>
#<alt (* (cos th) (sqrt 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow th 2)))>
#<alt (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))>
#<alt (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<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))))>
#<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))))>
#<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))))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
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#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (pow a2 2)>
#<alt (+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* 1/24 (* (pow a2 2) (pow th 2))))) (pow a2 2))>
#<alt (+ (* (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))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt a2>
#<alt (+ a2 (* -1/2 (* a2 (pow th 2))))>
#<alt (+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))))>
#<alt (+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2))))))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>

Calls

162 calls:

Time	Variable		Point	Expression
6.0ms	a1	@	inf	(* (* a1 a1) (+ (* a2 (/ a2 (* a1 a1))) 1))
0.0ms	a2	@	0	(* (* a1 a1) (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)))
0.0ms	a2	@	0	(* a2 (cos th))
0.0ms	a1	@	0	(* (* a1 a1) (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)))
0.0ms	a2	@	inf	(* (* a1 a1) (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)))

simplify543.0ms (5.1%)

Memory

-10.8MiB live, 1 014.5MiB allocated

Algorithm

1×	egg-herbie

Rules

23 074×	`lower-fma.f64`
23 074×	`lower-fma.f32`
6 256×	`lower-*.f64`
6 256×	`lower-*.f32`
6 246×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	280	9902
1	954	9245
2	3678	8544
0	8030	8050

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 647

Calls

Call 1

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

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

rewrite327.0ms (3.1%)

Memory

-16.3MiB live, 494.3MiB allocated

Rules

6 316×	`lower-*.f32`
6 288×	`lower-*.f64`
4 952×	`lower-/.f32`
4 944×	`lower-/.f64`
4 788×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	469
0	95	449
1	292	425
2	1888	412
0	8876	403

Stop Event

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

Counts

25 → 358

Calls

Call 1

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

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

eval143.0ms (1.3%)

Memory: 41.5MiB live, 224.3MiB allocated
Compiler: Compiled 28 544 to 1 754 computations (93.9% saved)

prune128.0ms (1.2%)

Memory

-11.2MiB live, 272.9MiB allocated

Pruning

33 alts after pruning (31 fresh and 2 done)

	Pruned	Kept	Total
New	1 285	20	1 305
Fresh	9	11	20
Picked	3	2	5
Done	0	0	0
Total	1 297	33	1 330

Accuracy

100.0%

Counts

1 330 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.4%	(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (cos th) (fma.f64 (.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)) #s(literal 1 binary64))))
▶	99.7%	(.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))) #s(literal 1/2 binary64))
	99.4%	(.f64 #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (cos.f64 th) a2))) #s(literal 1/2 binary64))
	99.3%	(.f64 #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) #s(literal 1/2 binary64))
	99.3%	(.f64 #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (.f64 a2 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (cos.f64 th))) #s(literal 1/2 binary64))
✓	99.3%	(.f64 #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))) #s(literal 1/2 binary64))
	60.5%	(.f64 #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (.f64 a2 #s(approx (cos th) (fma.f64 (.f64 th th) (fma.f64 th (.f64 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))))))) #s(literal 1/2 binary64))
	40.1%	(.f64 #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( a2 (* a2 (cos th))) (fma.f64 (.f64 th th) (.f64 (.f64 a2 a2) (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 a2 a2))))) #s(literal 1/2 binary64))
	62.5%	(.f64 #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( a2 (* a2 (cos th))) (.f64 (.f64 a2 a2) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) #s(literal 1/2 binary64))
▶	66.6%	(.f64 #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( a2 (* a2 (cos th))) (*.f64 a2 a2)))) #s(literal 1/2 binary64))
	66.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
	66.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
	66.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
	66.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
	66.5%	#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 a2 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
	58.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a1)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
	16.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64)))))
	99.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
▶	37.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 a1 a1) (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64))))
	62.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(approx (* (* a1 a1) (+ (* a2 (/ a2 (* a1 a1))) 1)) (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))))
▶	15.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(approx (* (* a1 a1) (+ (* a2 (/ a2 (* a1 a1))) 1)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
	62.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))))
	66.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2))))
	40.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (sqrt 2)) (.f64 (/.f64 (.f64 a1 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) a1)))
	26.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (sqrt 2)) (.f64 (.f64 a1 a1) (/.f64 (fma.f64 (.f64 a2 a2) (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
	36.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (sqrt 2)) (.f64 (.f64 a1 a1) (/.f64 (fma.f64 a2 (/.f64 #s(literal 1 binary64) (/.f64 a1 (/.f64 a2 a1))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
▶	31.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (sqrt 2)) (.f64 (.f64 a1 a1) (/.f64 (fma.f64 a2 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
	27.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (sqrt 2)) (.f64 (.f64 a1 a1) (/.f64 #s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))))
	16.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (sqrt 2)) (.f64 (.f64 a1 a1) (/.f64 #s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
	66.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (sqrt 2)) #s(approx (* (* a1 a1) (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
✓	16.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a1 (/ a1 (sqrt 2))) (/ (* a2 a2) (sqrt 2))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
	16.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a1 (/ a1 (sqrt 2))) (/ (* a2 a2) (sqrt 2))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
	16.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a1 (/ a1 (sqrt 2))) (/ (* a2 a2) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))

Compiler

Compiled 1 244 to 738 computations (40.7% saved)

simplify404.0ms (3.8%)

Memory

-2.3MiB live, 549.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(approx (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 a1 a1) (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 a1 a1) (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	384	(fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64))
cost-diff	1344	(.f64 (.f64 a1 a1) (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (sqrt 2)) (.f64 (.f64 a1 a1) (/.f64 (fma.f64 a2 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	0	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (sqrt 2)) (.f64 (.f64 a1 a1) (/.f64 (fma.f64 a2 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) a2)
cost-diff	1344	(.f64 (.f64 a1 a1) (/.f64 (fma.f64 a2 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	(.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(approx (* (* a1 a1) (+ (* a2 (/ a2 (* a1 a1))) 1)) (*.f64 a1 a1)))
cost-diff	0	#s(approx (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(approx (* (* a1 a1) (+ (* a2 (/ a2 (* a1 a1))) 1)) (*.f64 a1 a1))))
cost-diff	0	(/.f64 #s(approx (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(approx (* (* a1 a1) (+ (* a2 (/ a2 (* a1 a1))) 1)) (*.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 #s(approx (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(approx (* (* a1 a1) (+ (* a2 (/ a2 (* a1 a1))) 1)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( a2 (* a2 (cos th))) (*.f64 a2 a2)))
cost-diff	0	#s(approx (+ (* (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( a2 (* a2 (cos th))) (*.f64 a2 a2))))
cost-diff	0	(.f64 #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( a2 (* a2 (cos th))) (*.f64 a2 a2)))) #s(literal 1/2 binary64))
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))) (fma.f64 a2 a2 (*.f64 a1 a1)))
cost-diff	0	(.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))) #s(literal 1/2 binary64))

Rules

21 568×	`lower-fma.f32`
21 560×	`lower-fma.f64`
4 276×	`lower-*.f32`
4 250×	`lower-*.f64`
3 552×	`lower-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	708
0	97	683
1	195	642
2	466	642
3	1291	522
4	2662	522
5	4860	522
6	6695	522
7	7594	522
0	8473	522

Stop Event

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

Calls

Call 1

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

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

localize204.0ms (1.9%)

Memory

16.2MiB live, 304.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.25	(/.f64 #s(approx (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 a1 a1) (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
accuracy	4.927117434627863	(.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 a1 a1) (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64))))
accuracy	25.019569673882803	#s(approx (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 a1 a1) (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)))))
accuracy	26.345689767455365	(.f64 (.f64 a1 a1) (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)))
accuracy	6.08617831381736	(fma.f64 a2 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) a2) #s(literal 1 binary64))
accuracy	7.713906169759284	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) a2)
accuracy	21.298785168743716	#s(approx (/ (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (sqrt 2)) (.f64 (.f64 a1 a1) (/.f64 (fma.f64 a2 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
accuracy	26.340969015775855	(.f64 (.f64 a1 a1) (/.f64 (fma.f64 a2 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.25	(/.f64 #s(approx (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(approx (* (* a1 a1) (+ (* a2 (/ a2 (* a1 a1))) 1)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
accuracy	4.927117434627863	(.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(approx (* (* a1 a1) (+ (* a2 (/ a2 (* a1 a1))) 1)) (*.f64 a1 a1)))
accuracy	25.019569673882803	#s(approx (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(approx (* (* a1 a1) (+ (* a2 (/ a2 (* a1 a1))) 1)) (*.f64 a1 a1))))
accuracy	52.00699979735566	#s(approx (* (* a1 a1) (+ (* a2 (/ a2 (* a1 a1))) 1)) (*.f64 a1 a1))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.19489980450968028	#s(approx (+ (* (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( a2 (* a2 (cos th))) (*.f64 a2 a2))))
accuracy	0.22951127930532605	(.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( a2 (* a2 (cos th))) (*.f64 a2 a2)))
accuracy	21.300988339404785	#s(approx (* a2 (* a2 (cos th))) (*.f64 a2 a2))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0	(cos.f64 th)
accuracy	0.15300751953688402	(.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
accuracy	0.1875	(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Samples

100.0ms

256×

valid

Compiler

Compiled 448 to 52 computations (88.4% saved)

Precisions

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

ival-mult: 45.0ms (58.7% of total)

ival-add: 11.0ms (14.3% of total)

ival-cos: 10.0ms (13% of total)

ival-div: 9.0ms (11.7% of total)

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

exact: 1.0ms (1.3% of total)

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

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

series31.0ms (0.3%)

Memory

-28.3MiB live, 52.7MiB allocated

Counts

25 → 720

Calls

Call 1

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

Outputs
#<alt (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))>
#<alt (+ (* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))>
#<alt (+ (* 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))))))))>
#<alt (+ (* 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)))))))))>
#<alt (* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))>
#<alt (* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))>
#<alt (* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))>
#<alt (* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))>
#<alt (* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))>
#<alt (* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))>
#<alt (* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))>
#<alt (* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))>
#<alt (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))>
#<alt (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))>
#<alt (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))>
#<alt (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))>
#<alt (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))>
#<alt (+ (* -1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))>
#<alt (+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))>
#<alt (+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/24 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))>
#<alt (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 2)))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 2)))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -1/2 (* (pow th 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow th 2) (+ (* -1/2 (sqrt 2)) (* 1/24 (* (pow th 2) (sqrt 2))))))>
#<alt (+ (sqrt 2) (* (pow th 2) (+ (* -1/2 (sqrt 2)) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (sqrt 2))) (* 1/24 (sqrt 2)))))))>
#<alt (* (cos th) (sqrt 2))>
#<alt (* (cos th) (sqrt 2))>
#<alt (* (cos th) (sqrt 2))>
#<alt (* (cos th) (sqrt 2))>
#<alt (* (cos th) (sqrt 2))>
#<alt (* (cos th) (sqrt 2))>
#<alt (* (cos th) (sqrt 2))>
#<alt (* (cos th) (sqrt 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow th 2)))>
#<alt (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))>
#<alt (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))>
#<alt (+ (* 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)))))>
#<alt (+ (* 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))))))))>
#<alt (+ (* 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))))))))))>
#<alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))>
#<alt (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))>
#<alt (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))>
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#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))>
#<alt (+ (* -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)))>
#<alt (+ (* (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)))>
#<alt (+ (* (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)))>
#<alt (/ (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))>
#<alt (/ (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))>
#<alt (/ (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))>
#<alt (/ (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))>
#<alt (/ (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))>
#<alt (/ (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))>
#<alt (/ (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))>
#<alt (/ (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (pow a2 2)>
#<alt (+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* 1/24 (* (pow a2 2) (pow th 2))))) (pow a2 2))>
#<alt (+ (* (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))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (pow a2 2)>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (pow a1 2)>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (pow a1 2)>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (pow a1 2)>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (pow a2 2)>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (pow a2 2)>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt 1>
#<alt (+ 1 (/ (pow a2 2) (pow a1 2)))>
#<alt (+ 1 (/ (pow a2 2) (pow a1 2)))>
#<alt (+ 1 (/ (pow a2 2) (pow a1 2)))>
#<alt (/ (pow a2 2) (pow a1 2))>
#<alt (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))>
#<alt (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))>
#<alt (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))>
#<alt (/ (pow a2 2) (pow a1 2))>
#<alt (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))>
#<alt (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))>
#<alt (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))>
#<alt (/ (pow a2 2) (pow a1 2))>
#<alt (/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))>
#<alt (/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))>
#<alt (/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))>
#<alt 1>
#<alt (+ 1 (/ (pow a2 2) (pow a1 2)))>
#<alt (+ 1 (/ (pow a2 2) (pow a1 2)))>
#<alt (+ 1 (/ (pow a2 2) (pow a1 2)))>
#<alt 1>
#<alt (+ 1 (/ (pow a2 2) (pow a1 2)))>
#<alt (+ 1 (/ (pow a2 2) (pow a1 2)))>
#<alt (+ 1 (/ (pow a2 2) (pow a1 2)))>
#<alt (* (pow a2 2) (cos th))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))>
#<alt (* (pow a1 2) (cos th))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (+ (* -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)))))>
#<alt (+ (* (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)))))))))>
#<alt (+ (* (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))))))))))>
#<alt (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))))>
#<alt (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))))>
#<alt (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))))>
#<alt (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))))>
#<alt (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))))>
#<alt (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))))>
#<alt (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))))>
#<alt (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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)))))>
#<alt (* -1/2 (* (pow a1 2) (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))>
#<alt (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (pow th 2))))>
#<alt (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (pow th 2))))>
#<alt (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (pow th 2))))>
#<alt (* -1/2 (* (pow a1 2) (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))>
#<alt (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (pow th 2))))>
#<alt (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (pow th 2))))>
#<alt (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (pow th 2))))>
#<alt (* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (+ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))))>
#<alt (+ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))))>
#<alt (+ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))))>
#<alt (* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (* (pow a1 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (* (pow a1 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (+ (* (pow a1 2) (* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (pow a1 2))) (/ 1 (pow a1 2))))) (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))))>
#<alt (+ (* (pow a1 2) (* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (pow a1 2))) (/ 1 (pow a1 2))))) (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))))>
#<alt (+ (* (pow a1 2) (* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (pow a1 2))) (/ 1 (pow a1 2))))) (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))))>
#<alt (* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (* (pow a2 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (* (pow a2 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (pow a2 2)))))>

Calls

180 calls:

Time	Variable		Point	Expression
3.0ms	a2	@	inf	(* (* (* (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) 1/2)
1.0ms	a1	@	inf	(* (+ (* (* th th) -1/2) 1) (* (* a1 a1) (+ (* a2 (/ a2 (* a1 a1))) 1)))
1.0ms	th	@	inf	(* (* (* (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) 1/2)
1.0ms	th	@	inf	(* (+ (* (* th th) -1/2) 1) (* (* a1 a1) (+ (* a2 (/ a2 (* a1 a1))) 1)))
1.0ms	th	@	0	(* (* (* (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) 1/2)

simplify771.0ms (7.2%)

Memory

44.7MiB live, 829.7MiB allocated

Algorithm

1×	egg-herbie

Rules

26 060×	`lower-fma.f64`
26 060×	`lower-fma.f32`
6 278×	`lower-*.f64`
6 278×	`lower-*.f32`
6 056×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	292	12482
1	1023	11549
2	4210	10710
0	8494	9992

Stop Event

1×	iter limit
1×	node limit

Counts

720 → 720

Calls

Call 1

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

Outputs
(* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+ (* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 #s(literal -1/4 binary64) (.f64 th th) #s(literal 1/2 binary64)))
(+ (* 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))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (+.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 th th) (.f64 (*.f64 th th) #s(literal 1/24 binary64))))))
(+ (* 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)))))))))
(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (.f64 th th) #s(literal -1/1440 binary64) #s(literal 1/48 binary64))) (.f64 (.f64 th th) (.f64 th th)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64))))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 #s(literal 1/2 binary64) (cos.f64 th)))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 #s(literal 1/2 binary64) (cos.f64 th)))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 #s(literal 1/2 binary64) (cos.f64 th)))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 #s(literal 1/2 binary64) (cos.f64 th)))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 #s(literal 1/2 binary64) (cos.f64 th)))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 #s(literal 1/2 binary64) (cos.f64 th)))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 #s(literal 1/2 binary64) (cos.f64 th)))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 #s(literal 1/2 binary64) (cos.f64 th)))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a1 a1))) (cos.f64 th))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 #s(literal 1/2 binary64) (cos.f64 th)))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
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(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(* (pow a1 2) (cos th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(.f64 (cos.f64 th) (.f64 a1 (.f64 a1 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(.f64 (cos.f64 th) (.f64 a1 (.f64 a1 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(.f64 (cos.f64 th) (.f64 a1 (.f64 a1 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)))))
(* (pow a1 2) (cos th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(.f64 (cos.f64 th) (.f64 a1 (.f64 a1 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(.f64 (cos.f64 th) (.f64 a1 (.f64 a1 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(.f64 (cos.f64 th) (.f64 a1 (.f64 a1 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)))))
(* (pow a1 2) (cos th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(* (pow a2 2) (cos th))
(.f64 (.f64 (cos.f64 th) a2) a2)
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(.f64 (.f64 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))
(.f64 (.f64 (cos.f64 th) a2) a2)
(* (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 a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 a1 (.f64 a1 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))))
(+ (* -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)))))
(.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 a1 (.f64 a1 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))))
(+ (* (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)))))))))
(fma.f64 (.f64 th th) (.f64 (.f64 a1 (.f64 a1 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)))) (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (.f64 a1 (.f64 a1 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))))
(+ (* (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))))))))))
(fma.f64 (.f64 th th) (.f64 (.f64 (.f64 a1 a1) (.f64 th (.f64 th (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 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 a1 (.f64 a1 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))))))
(* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))))
(.f64 (cos.f64 th) (.f64 a1 (.f64 a1 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)))))
(* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))))
(.f64 (cos.f64 th) (.f64 a1 (.f64 a1 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)))))
(* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))))
(.f64 (cos.f64 th) (.f64 a1 (.f64 a1 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)))))
(* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))))
(.f64 (cos.f64 th) (.f64 a1 (.f64 a1 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)))))
(* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))))
(.f64 (cos.f64 th) (.f64 a1 (.f64 a1 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)))))
(* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))))
(.f64 (cos.f64 th) (.f64 a1 (.f64 a1 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)))))
(* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))))
(.f64 (cos.f64 th) (.f64 a1 (.f64 a1 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)))))
(* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))))
(.f64 (cos.f64 th) (.f64 a1 (.f64 a1 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 a1 (.f64 a1 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))))
(+ (* -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)))))
(.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 a1 (.f64 a1 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))))
(+ (* -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)))))
(.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 a1 (.f64 a1 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))))
(+ (* -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)))))
(.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 a1 (.f64 a1 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))))
(* -1/2 (* (pow a1 2) (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
(.f64 (.f64 th th) (.f64 (.f64 a1 a1) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(* (pow th 2) (+ (* -1/2 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (pow th 2))))
(.f64 (.f64 th th) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (fma.f64 (.f64 a1 a1) #s(literal -1/2 binary64) (/.f64 (.f64 a1 a1) (*.f64 th th)))))
(* (pow th 2) (+ (* -1/2 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (pow th 2))))
(.f64 (.f64 th th) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (fma.f64 (.f64 a1 a1) #s(literal -1/2 binary64) (/.f64 (.f64 a1 a1) (*.f64 th th)))))
(* (pow th 2) (+ (* -1/2 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (pow th 2))))
(.f64 (.f64 th th) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (fma.f64 (.f64 a1 a1) #s(literal -1/2 binary64) (/.f64 (.f64 a1 a1) (*.f64 th th)))))
(* -1/2 (* (pow a1 2) (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
(.f64 (.f64 th th) (.f64 (.f64 a1 a1) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(* (pow th 2) (+ (* -1/2 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (pow th 2))))
(.f64 (.f64 th th) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (fma.f64 (.f64 a1 a1) #s(literal -1/2 binary64) (/.f64 (.f64 a1 a1) (*.f64 th th)))))
(* (pow th 2) (+ (* -1/2 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (pow th 2))))
(.f64 (.f64 th th) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (fma.f64 (.f64 a1 a1) #s(literal -1/2 binary64) (/.f64 (.f64 a1 a1) (*.f64 th th)))))
(* (pow th 2) (+ (* -1/2 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (pow th 2))))
(.f64 (.f64 th th) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (fma.f64 (.f64 a1 a1) #s(literal -1/2 binary64) (/.f64 (.f64 a1 a1) (*.f64 th th)))))
(* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))
(.f64 (.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) a2) a2)
(+ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(+ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(+ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))
(.f64 a1 (.f64 a1 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(* (pow a1 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (pow a1 2)))))
(.f64 a1 (.f64 a1 (fma.f64 (.f64 a2 a2) (/.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 a1 a1)) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(* (pow a1 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (pow a1 2)))))
(.f64 a1 (.f64 a1 (fma.f64 (.f64 a2 a2) (/.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 a1 a1)) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(* (pow a1 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (pow a1 2)))))
(.f64 a1 (.f64 a1 (fma.f64 (.f64 a2 a2) (/.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 a1 a1)) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))
(.f64 a1 (.f64 a1 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(* (pow a1 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (pow a1 2)))))
(.f64 a1 (.f64 a1 (fma.f64 (.f64 a2 a2) (/.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 a1 a1)) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(* (pow a1 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (pow a1 2)))))
(.f64 a1 (.f64 a1 (fma.f64 (.f64 a2 a2) (/.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 a1 a1)) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(* (pow a1 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (pow a1 2)))))
(.f64 a1 (.f64 a1 (fma.f64 (.f64 a2 a2) (/.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 a1 a1)) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))
(.f64 a1 (.f64 a1 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(+ (* (pow a1 2) (* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (pow a1 2))) (/ 1 (pow a1 2))))) (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))))
(.f64 (.f64 a1 a1) (fma.f64 a2 (fma.f64 a2 (/.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) (.f64 a1 a1)) (/.f64 a2 (.f64 a1 a1))) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(+ (* (pow a1 2) (* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (pow a1 2))) (/ 1 (pow a1 2))))) (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))))
(.f64 (.f64 a1 a1) (fma.f64 a2 (fma.f64 a2 (/.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) (.f64 a1 a1)) (/.f64 a2 (.f64 a1 a1))) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(+ (* (pow a1 2) (* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (pow a1 2))) (/ 1 (pow a1 2))))) (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))))
(.f64 (.f64 a1 a1) (fma.f64 a2 (fma.f64 a2 (/.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) (.f64 a1 a1)) (/.f64 a2 (.f64 a1 a1))) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))
(.f64 (.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) a2) a2)
(* (pow a2 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (pow a2 2)))))
(.f64 (.f64 a2 a2) (fma.f64 (.f64 a1 a1) (/.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 a2 a2)) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(* (pow a2 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (pow a2 2)))))
(.f64 (.f64 a2 a2) (fma.f64 (.f64 a1 a1) (/.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 a2 a2)) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(* (pow a2 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (pow a2 2)))))
(.f64 (.f64 a2 a2) (fma.f64 (.f64 a1 a1) (/.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 a2 a2)) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))
(.f64 (.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) a2) a2)
(* (pow a2 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (pow a2 2)))))
(.f64 (.f64 a2 a2) (fma.f64 (.f64 a1 a1) (/.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 a2 a2)) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(* (pow a2 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (pow a2 2)))))
(.f64 (.f64 a2 a2) (fma.f64 (.f64 a1 a1) (/.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 a2 a2)) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(* (pow a2 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (pow a2 2)))))
(.f64 (.f64 a2 a2) (fma.f64 (.f64 a1 a1) (/.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 a2 a2)) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))

rewrite582.0ms (5.5%)

Memory

-185.0MiB live, 516.9MiB allocated

Rules

6 088×	`lower-fma.f32`
6 080×	`lower-fma.f64`
4 928×	`lower-*.f32`
4 902×	`lower-*.f64`
4 222×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	617
0	97	550
1	337	536
2	1909	536
0	8434	515

Stop Event

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

Counts

25 → 509

Calls

Call 1

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

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

eval196.0ms (1.8%)

Memory: 5.7MiB live, 226.1MiB allocated
Compiler: Compiled 31 733 to 1 997 computations (93.7% saved)

prune141.0ms (1.3%)

Memory

-1.2MiB live, 288.9MiB allocated

Pruning

35 alts after pruning (29 fresh and 6 done)

	Pruned	Kept	Total
New	1 249	8	1 257
Fresh	5	21	26
Picked	1	4	5
Done	0	2	2
Total	1 255	35	1 290

Accuracy

100.0%

Counts

1 290 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.4%	(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (cos th) (fma.f64 (.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)) #s(literal 1 binary64))))
✓	99.7%	(.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))) #s(literal 1/2 binary64))
	99.4%	(.f64 #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (cos.f64 th) a2))) #s(literal 1/2 binary64))
	99.3%	(.f64 #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) #s(literal 1/2 binary64))
	99.3%	(.f64 #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (.f64 a2 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (cos.f64 th))) #s(literal 1/2 binary64))
✓	99.3%	(.f64 #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))) #s(literal 1/2 binary64))
	60.5%	(.f64 #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (.f64 a2 #s(approx (cos th) (fma.f64 (.f64 th th) (fma.f64 th (.f64 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))))))) #s(literal 1/2 binary64))
	40.1%	(.f64 #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( a2 (* a2 (cos th))) (fma.f64 (.f64 th th) (.f64 (.f64 a2 a2) (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 a2 a2))))) #s(literal 1/2 binary64))
	62.5%	(.f64 #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( a2 (* a2 (cos th))) (.f64 (.f64 a2 a2) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) #s(literal 1/2 binary64))
✓	66.6%	(.f64 #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( a2 (* a2 (cos th))) (*.f64 a2 a2)))) #s(literal 1/2 binary64))
	66.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
	66.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
	66.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
	66.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
	66.5%	#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 a2 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
	58.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a1)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
	16.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64)))))
	99.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
	62.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(approx (* (* a1 a1) (+ (* (/ a2 a1) (/ a2 a1)) 1)) (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))))
✓	15.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(approx (* (* a1 a1) (+ (* a2 (/ a2 (* a1 a1))) 1)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
	40.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (.f64 a1 (.f64 (.f64 a1 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64))) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64))))
	15.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) #s(approx (* (+ (* (* th th) -1/2) 1) (* (* a1 a1) (+ (* (/ a2 a1) (/ a2 a1)) 1))) (.f64 a1 (.f64 a1 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) (sqrt.f64 #s(literal 2 binary64))))
	62.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))))
	66.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))))
	40.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (sqrt 2)) (.f64 (/.f64 (.f64 a1 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) a1)))
	26.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (sqrt 2)) (.f64 (.f64 a1 a1) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) (.f64 a2 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
	36.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (sqrt 2)) (.f64 (.f64 a1 a1) (/.f64 (fma.f64 a2 (/.f64 #s(literal 1 binary64) (/.f64 a1 (/.f64 a2 a1))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
✓	31.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (sqrt 2)) (.f64 (.f64 a1 a1) (/.f64 (fma.f64 a2 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
	3.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (sqrt 2)) (.f64 (.f64 a1 a1) (/.f64 (.f64 (+.f64 (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal -1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))))
	27.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (sqrt 2)) (.f64 (.f64 a1 a1) (/.f64 #s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))))
	16.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (sqrt 2)) (.f64 (.f64 a1 a1) (/.f64 #s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
	66.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (sqrt 2)) #s(approx (* (* a1 a1) (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
✓	16.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a1 (/ a1 (sqrt 2))) (/ (* a2 a2) (sqrt 2))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
	16.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a1 (/ a1 (sqrt 2))) (/ (* a2 a2) (sqrt 2))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
	16.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* a1 (/ a1 (sqrt 2))) (/ (* a2 a2) (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))

Compiler

Compiled 2 065 to 647 computations (68.7% saved)

regimes184.0ms (1.7%)

Memory

16.5MiB live, 314.5MiB allocated

Counts

73 → 1

Calls

Call 1

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

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

Calls

8 calls:

28.0ms	th
24.0ms	(*.f64 a1 a1)
21.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
21.0ms	a2
21.0ms	(cos.f64 th)

Results

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

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes122.0ms (1.1%)

Memory

7.7MiB live, 210.1MiB allocated

Counts

53 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

17.0ms	(cos.f64 th)
16.0ms	a2
15.0ms	(*.f64 a2 a2)
15.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
15.0ms	(+.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
99.6%	1	`a1`
99.6%	1	`a2`
99.6%	1	`th`
99.6%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
99.6%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.6%	1	`(cos.f64 th)`
99.6%	1	`(*.f64 a1 a1)`
99.6%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes175.0ms (1.6%)

Memory

-37.8MiB live, 173.4MiB allocated

Counts

51 → 1

Calls

Call 1

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

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

Calls

8 calls:

62.0ms	a2
24.0ms	(*.f64 a2 a2)
16.0ms	a1
15.0ms	(+.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)))
14.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
99.4%	1	`a1`
99.4%	1	`a2`
99.4%	1	`th`
99.4%	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)))`
99.4%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.4%	1	`(cos.f64 th)`
99.4%	1	`(*.f64 a1 a1)`
99.4%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes137.0ms (1.3%)

Memory

7.0MiB live, 162.3MiB allocated

Counts

47 → 1

Calls

Call 1

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

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

Calls

8 calls:

40.0ms	(*.f64 a1 a1)
15.0ms	a1
15.0ms	a2
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	th

Results

Accuracy	Segments	Branch
99.3%	1	`a1`
99.3%	1	`a2`
99.3%	1	`th`
99.3%	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)))`
99.3%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.3%	1	`(cos.f64 th)`
99.3%	1	`(*.f64 a1 a1)`
99.3%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes107.0ms (1%)

Memory

30.1MiB live, 187.3MiB allocated

Counts

46 → 1

Calls

Call 1

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

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

Calls

8 calls:

15.0ms	a2
14.0ms	th
13.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
13.0ms	a1
12.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
99.3%	1	`a1`
99.3%	1	`a2`
99.3%	1	`th`
99.3%	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)))`
99.3%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.3%	1	`(cos.f64 th)`
99.3%	1	`(*.f64 a1 a1)`
99.3%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes114.0ms (1.1%)

Memory

2.6MiB live, 192.2MiB allocated

Counts

44 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

22.0ms	th
15.0ms	a1
14.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
13.0ms	(*.f64 a2 a2)
12.0ms	a2

Results

Accuracy	Segments	Branch
66.6%	1	`a1`
66.6%	1	`a2`
68.6%	2	`th`
75.8%	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)))`
74.7%	2	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
74.7%	2	`(cos.f64 th)`
66.6%	1	`(*.f64 a1 a1)`
66.6%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes24.0ms (0.2%)

Memory

8.9MiB live, 45.5MiB allocated

Accuracy

Total -32.2b remaining (-150.7%)

Threshold costs -32.2b (-150.7%)

Counts

10 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
66.6%	1	`a2`
66.6%	1	`(*.f64 a2 a2)`
66.6%	1	`th`
66.6%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
66.6%	1	`(cos.f64 th)`
66.6%	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)))`

Compiler

Compiled 49 to 33 computations (32.7% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.8776540569404122e-161	-1.3525694733014294e-165

Compiler

Compiled 25 to 18 computations (28% saved)

simplify10.0ms (0.1%)

Memory

-21.2MiB live, 15.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	277
1	89	277

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))) #s(literal 1/2 binary64))
#s(approx (* (+ (* (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) 1/2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a1 a1 (.f64 a2 a2))))))
(.f64 #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (cos.f64 th) a2))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))) #s(literal 1/2 binary64))
(if (<=.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #s(literal -5065326622169181/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264 binary64)) (.f64 #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( a2 (* a2 (cos th))) (.f64 (.f64 a2 a2) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) #s(literal 1/2 binary64)) (.f64 #s(approx (+ (* (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( a2 (* a2 (cos th))) (*.f64 a2 a2)))) #s(literal 1/2 binary64)))
(.f64 #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( a2 (* a2 (cos th))) (*.f64 a2 a2)))) #s(literal 1/2 binary64))

Outputs
(.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))) #s(literal 1/2 binary64))
#s(approx (* (+ (* (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) 1/2) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 a1 a1 (.f64 a2 a2))))))
(.f64 #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (cos.f64 th) a2))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (cos.f64 th) a2))))
(.f64 #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
(.f64 #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (*.f64 (cos.f64 th) 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 -5065326622169181/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264 binary64)) (.f64 #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( a2 (* a2 (cos th))) (.f64 (.f64 a2 a2) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) #s(literal 1/2 binary64)) (.f64 #s(approx (+ (* (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( a2 (* a2 (cos th))) (*.f64 a2 a2)))) #s(literal 1/2 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 -5065326622169181/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264 binary64)) (.f64 #s(literal 1/2 binary64) #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( a2 (* a2 (cos th))) (.f64 (.f64 a2 a2) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))))) (.f64 #s(literal 1/2 binary64) #s(approx (+ (* (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( a2 (* a2 (cos th))) (*.f64 a2 a2))))))
(.f64 #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( a2 (* a2 (cos th))) (*.f64 a2 a2)))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (+ ( (cos th) (* (* a2 a2) (sqrt 2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx ( a2 (* a2 (cos th))) (*.f64 a2 a2)))))

soundness958.0ms (9%)

Memory

16.1MiB live, 768.9MiB allocated

Rules

23 074×	`lower-fma.f64`
23 074×	`lower-fma.f32`
19 286×	`lower-fma.f64`
19 286×	`lower-fma.f32`
6 778×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	309	9445
1	1049	8831
2	4041	8164
0	8184	7702
0	60	469
0	95	449
1	292	425
2	1888	412
0	8876	403
0	51	372
0	86	358
1	322	346
2	2466	342
0	8556	339
0	280	9902
1	954	9245
2	3678	8544
0	8030	8050
0	12	44
0	20	38
1	58	38
2	411	38
3	7331	38
0	8434	37

Stop Event

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

Compiler

Compiled 509 to 272 computations (46.6% saved)

preprocess87.0ms (0.8%)

Memory

5.8MiB live, 161.1MiB allocated

Remove

(sort a1 a2)

(abs a1)

(abs a2)

(abs th)

Compiler

Compiled 978 to 588 computations (39.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (10.8%)

explain140.0ms (1.3%)

preprocess144.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize40.0ms (0.4%)

series14.0ms (0.1%)

simplify671.0ms (6.3%)

rewrite294.0ms (2.8%)

eval53.0ms (0.5%)

prune82.0ms (0.8%)

simplify282.0ms (2.6%)

localize221.0ms (2.1%)

series50.0ms (0.5%)

simplify593.0ms (5.6%)

rewrite530.0ms (5%)

eval273.0ms (2.6%)

prune227.0ms (2.1%)

simplify336.0ms (3.1%)

localize141.0ms (1.3%)

series26.0ms (0.2%)

simplify543.0ms (5.1%)

rewrite327.0ms (3.1%)

eval143.0ms (1.3%)

prune128.0ms (1.2%)

simplify404.0ms (3.8%)

localize204.0ms (1.9%)

series31.0ms (0.3%)

simplify771.0ms (7.2%)

rewrite582.0ms (5.5%)

eval196.0ms (1.8%)

prune141.0ms (1.3%)

regimes184.0ms (1.7%)

regimes122.0ms (1.1%)

regimes175.0ms (1.6%)

regimes137.0ms (1.3%)

regimes107.0ms (1%)

regimes114.0ms (1.1%)

regimes24.0ms (0.2%)

bsearch1.0ms (0%)

simplify10.0ms (0.1%)

soundness958.0ms (9%)

preprocess87.0ms (0.8%)

end0.0ms (0%)

Profiling