Metrics for Migdal et al, Equation (64)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

sample1.4s (20.1%)

Memory

10.3MiB live, 1 560.6MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 733.0ms

ival-cos: 264.0ms (36% of total)

ival-mult: 231.0ms (31.5% of total)

ival-sqrt: 111.0ms (15.1% of total)

ival-div: 70.0ms (9.6% of total)

ival-add: 41.0ms (5.6% of total)

ival-true: 7.0ms (1% of total)

exact: 7.0ms (1% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain211.0ms (2.9%)

Memory

-4.1MiB live, 109.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))`
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 (/.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 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	0	0
-	1	255

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	0	255

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

89.0ms

512×

valid

Compiler

Compiled 135 to 40 computations (70.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-div: 40.0ms (56.9% of total)

ival-mult: 12.0ms (17.1% of total)

ival-cos: 11.0ms (15.6% of total)

ival-sqrt: 4.0ms (5.7% of total)

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

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

exact: 0.0ms (0% of total)

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

preprocess154.0ms (2.1%)

Memory

-14.7MiB live, 26.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	120
1	130	120
2	375	120
3	1021	120
4	2482	120
5	4852	120
6	5751	120
7	6539	120
8	6612	120
9	6628	120
10	6799	120
11	6917	120
12	6929	120
13	6929	120
14	6929	120
0	12	19
0	20	13
1	33	13
2	58	13
3	88	13
4	100	13
0	100	12

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs th)

(abs a2)

(abs a1)

(sort a1 a2)

Compiler

Compiled 19 to 12 computations (36.8% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify4.0ms (0.1%)

Memory

2.1MiB live, 2.1MiB 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	7	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize33.0ms (0.5%)

Memory

21.5MiB live, 21.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
accuracy	0.16796875	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
accuracy	0.4481896072249121	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
accuracy	0.73046875	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Samples

25.0ms

256×

valid

Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions

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

ival-mult: 6.0ms (37.7% of total)

ival-cos: 5.0ms (31.4% of total)

ival-div: 2.0ms (12.6% of total)

ival-sqrt: 2.0ms (12.6% of total)

ival-add: 1.0ms (6.3% of total)

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

exact: 0.0ms (0% of total)

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

series67.0ms (0.9%)

Memory

-23.2MiB live, 13.4MiB allocated

Counts

5 → 27

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

Calls

9 calls:

Time	Variable		Point	Expression
53.0ms	th	@	0	((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
3.0ms	th	@	-inf	((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
2.0ms	a1	@	0	((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
2.0ms	th	@	inf	((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
1.0ms	a2	@	0	((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) (* (/ (cos th) (sqrt 2)) (* a2 a2)))

simplify348.0ms (4.8%)

Memory

22.2MiB live, 141.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	576
1	343	562
2	1210	458
3	3908	429
0	8416	391

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

Calls

Call 1

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

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

rewrite208.0ms (2.9%)

Memory

8.2MiB live, 170.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
0	20	38
1	58	38
2	411	38
3	7359	38
0	8465	37

Stop Event

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

Counts

5 → 327

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (cos.f64 th)))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -3 binary64)) (-.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))))) (fma.f64 (pow.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 (cos.f64 th))) a1 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 a2 (cos.f64 th)) a2)))) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 (cos.f64 th) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -3 binary64)) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (-.f64 (pow.f64 (.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)) #s(literal 4 binary64)) (pow.f64 (.f64 (pow.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (.f64 (pow.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 2 binary64)) (*.f64 a2 a2))))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -3 binary64)) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (+.f64 (pow.f64 (.f64 (pow.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)) #s(literal 6 binary64)))) (fma.f64 (.f64 (pow.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (-.f64 (.f64 (pow.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (.f64 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(.f64 (/.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64)) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (neg.f64 (cos.f64 th))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -2 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))))
(.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 2 binary64)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -3 binary64)) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))))
(.f64 (neg.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))))
(.f64 (neg.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -3 binary64)) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 2 binary64)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (.f64 (pow.f64 (.f64 (*.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(.f64 (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 (cos.f64 th) #s(literal -1 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (fma.f64 (pow.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 2 binary64)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (pow.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 2 binary64)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (.f64 (pow.f64 (.f64 (*.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(.f64 (fma.f64 (pow.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 2 binary64)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 2 binary64)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -3 binary64)) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 2 binary64)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (.f64 (pow.f64 (.f64 (*.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(.f64 (neg.f64 (cos.f64 th)) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (neg.f64 (cos.f64 th)) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64))
(/.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (neg.f64 (cos.f64 th))) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (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 (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(/.f64 (.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)) #s(literal 4 binary64))) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -2 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))))
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(fma.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)))
(fma.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (.f64 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)))
(fma.f64 (.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)) (/.f64 (.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (.f64 (.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))))
(fma.f64 (.f64 a1 a1) (/.f64 (pow.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (.f64 (.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))))
(fma.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)))
(fma.f64 a1 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 a1 #s(literal 4 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (.f64 (.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2) (.f64 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1) (.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)))
(fma.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)))
(fma.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (.f64 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #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 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #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 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (.f64 (.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))))
(+.f64 (.f64 (.f64 (pow.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (neg.f64 (.f64 (.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))))))
(+.f64 (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)) (.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)))
(+.f64 (.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)) (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)))
(.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (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 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 a1 (cos.f64 th)) (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) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(.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 (.f64 (.f64 a1 (cos.f64 th)) a1) #s(literal 1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 th) #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th))
(.f64 (.f64 (*.f64 a1 (cos.f64 th)) (neg.f64 a1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a1 (pow.f64 (cos.f64 th) #s(literal -1 binary64))))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a1)
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (.f64 a1 a1) (pow.f64 (cos.f64 th) #s(literal -1 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (*.f64 a1 (cos.f64 th)) a1))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)))
(.f64 (neg.f64 (cos.f64 th)) (/.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (neg.f64 (cos.f64 th)) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 a1 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) #s(literal -1 binary64))
(/.f64 (/.f64 (.f64 (.f64 a1 (cos.f64 th)) (neg.f64 a1)) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 a1 (cos.f64 th)) (neg.f64 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 a1 a1)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 a1 a1)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(/.f64 (.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 a1 a1) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(/.f64 (.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (pow.f64 (cos.f64 th) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 a1 (cos.f64 th)) (neg.f64 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1))))
(/.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(neg.f64 (.f64 (neg.f64 a1) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (cos.f64 th)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (cos.f64 th) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 th) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 th)))
(*.f64 #s(literal 1 binary64) (cos.f64 th))
(*.f64 (cos.f64 th) #s(literal 1 binary64))
(neg.f64 (neg.f64 (cos.f64 th)))
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 th)))
(cos.f64 th)
(.f64 (/.f64 (.f64 a2 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (cos.f64 th)))
(.f64 (/.f64 (.f64 a2 a2) #s(literal -1 binary64)) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 a2 (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64)) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 th) #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th))
(.f64 (.f64 (*.f64 (neg.f64 (cos.f64 th)) a2) a2) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (pow.f64 (cos.f64 th) #s(literal -1 binary64))))
(.f64 (.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (*.f64 a2 (cos.f64 th)) a2) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2)
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (.f64 a2 a2) (pow.f64 (cos.f64 th) #s(literal -1 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (*.f64 a2 (cos.f64 th)) a2))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)))
(.f64 (neg.f64 (cos.f64 th)) (/.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (neg.f64 (cos.f64 th)) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 a2 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) #s(literal -1 binary64))
(/.f64 (/.f64 (.f64 (.f64 (neg.f64 (cos.f64 th)) a2) a2) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 (cos.f64 th)) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (*.f64 a2 (cos.f64 th)) a2) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 a2 a2) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(/.f64 (.f64 (.f64 (*.f64 a2 (cos.f64 th)) a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (pow.f64 (cos.f64 th) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 (neg.f64 (cos.f64 th)) a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 a2) a2) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))))
(/.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(neg.f64 (.f64 (neg.f64 a2) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))))

eval72.0ms (1%)

Memory: -29.1MiB live, 48.0MiB allocated
Compiler: Compiled 11 519 to 1 067 computations (90.7% saved)

prune13.0ms (0.2%)

Memory

23.1MiB live, 23.1MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	382	13	395
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	383	13	396

Accuracy

100.0%

Counts

396 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
▶	99.6%	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
▶	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))))
	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))))
	99.6%	(.f64 (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
	99.6%	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
▶	99.7%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
	99.6%	(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
▶	66.2%	#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 (sqrt.f64 #s(literal 2 binary64))) a1)))
	60.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64)) th) th #s(literal 1 binary64))))
	63.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
	67.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))))
▶	99.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 582 to 402 computations (30.9% saved)

simplify12.0ms (0.2%)

Memory

5.7MiB live, 5.7MiB 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)) (cos.f64 th))
cost-diff	0	(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1)))
cost-diff	2	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))))
cost-diff	0	(*.f64 a1 a1)
cost-diff	0	(fma.f64 a2 a2 (*.f64 a1 a1))
cost-diff	0	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
cost-diff	0	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(cos.f64 th)
cost-diff	0	(*.f64 (cos.f64 th) a2)
cost-diff	0	(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
cost-diff	3	(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
cost-diff	0	(fma.f64 a2 a2 (*.f64 a1 a1))
cost-diff	0	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
cost-diff	0	(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
cost-diff	0	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	244
0	50	228
1	85	228
2	145	228
3	252	222
4	439	222
5	541	222
6	541	222
0	541	222

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize121.0ms (1.7%)

Memory

-32.7MiB live, 58.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 th)
accuracy	0.213222509768442	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
accuracy	0.31776140604277264	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))))
accuracy	0.5779097216388992	(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1)))
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.0	(cos.f64 th)
accuracy	0.07421875	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
accuracy	0.2109375	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.1171875	(*.f64 (cos.f64 th) a2)
accuracy	0.140625	(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.31377132461755874	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0.41015625	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.1328125	(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
accuracy	0.40234375	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.41015625	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
accuracy	21.4808775717911	#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 (sqrt.f64 #s(literal 2 binary64))) a1)))
accuracy	0.0	(*.f64 a1 a1)
accuracy	0.0	(cos.f64 th)
accuracy	0.07421875	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
accuracy	0.2109375	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))

Samples

59.0ms

256×

valid

Compiler

Compiled 233 to 31 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 14.0ms (34.8% of total)

ival-div: 10.0ms (24.9% of total)

ival-cos: 6.0ms (14.9% of total)

ival-pow: 5.0ms (12.4% of total)

ival-add: 3.0ms (7.5% of total)

ival-sqrt: 2.0ms (5% of total)

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

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

exact: 0.0ms (0% of total)

series36.0ms (0.5%)

Memory

27.9MiB live, 27.9MiB allocated

Counts

19 → 81

Calls

Call 1

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

Outputs
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(* (pow a2 2) (cos th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(pow a1 2)
(/ (sqrt 2) (* (pow a2 2) (cos th)))
(+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 4) (cos th)))) (/ (sqrt 2) (* (pow a2 2) (cos th))))
(+ (* (pow a1 2) (- (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 6) (cos th))) (/ (sqrt 2) (* (pow a2 4) (cos th))))) (/ (sqrt 2) (* (pow a2 2) (cos th))))
(+ (* (pow a1 2) (- (* (pow a1 2) (- (* -1 (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 8) (cos th)))) (* -1 (/ (sqrt 2) (* (pow a2 6) (cos th)))))) (/ (sqrt 2) (* (pow a2 4) (cos th))))) (/ (sqrt 2) (* (pow a2 2) (cos th))))
(/ a1 (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (* (cos th) (sqrt 1/2)))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(* (pow a1 2) (cos th))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (sqrt 2) (* (pow a1 2) (cos th)))
(/ (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th)))) (/ (sqrt 2) (cos th))) (pow a1 2))
(/ (- (+ (/ (sqrt 2) (cos th)) (/ (* (pow a2 4) (sqrt 2)) (* (pow a1 4) (cos th)))) (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th)))) (pow a1 2))
(/ (- (+ (* -1 (/ (* (pow a2 6) (sqrt 2)) (* (pow a1 6) (cos th)))) (/ (sqrt 2) (cos th))) (+ (* -1 (/ (* (pow a2 4) (sqrt 2)) (* (pow a1 4) (cos th)))) (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th))))) (pow a1 2))
(/ a2 (sqrt 2))
(* a2 (cos th))
(+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 4) (cos th)))) (/ (sqrt 2) (* (pow a1 2) (cos th))))
(+ (* (pow a2 2) (- (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 6) (cos th))) (/ (sqrt 2) (* (pow a1 4) (cos th))))) (/ (sqrt 2) (* (pow a1 2) (cos th))))
(+ (* (pow a2 2) (- (* (pow a2 2) (- (* -1 (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 8) (cos th)))) (* -1 (/ (sqrt 2) (* (pow a1 6) (cos th)))))) (/ (sqrt 2) (* (pow a1 4) (cos th))))) (/ (sqrt 2) (* (pow a1 2) (cos th))))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th)))) (/ (sqrt 2) (cos th))) (pow a2 2))
(/ (- (+ (/ (sqrt 2) (cos th)) (/ (* (pow a1 4) (sqrt 2)) (* (pow a2 4) (cos th)))) (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th)))) (pow a2 2))
(/ (- (+ (* -1 (/ (* (pow a1 6) (sqrt 2)) (* (pow a2 6) (cos th)))) (/ (sqrt 2) (cos th))) (+ (* -1 (/ (* (pow a1 4) (sqrt 2)) (* (pow a2 4) (cos th)))) (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th))))) (pow a2 2))
(* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))
(+ (* -1/2 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(+ (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))))))
(+ (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))) (* 1/24 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))))))))
(+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* 1/24 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))))) (+ (pow a1 2) (pow a2 2)))
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (+ (pow a1 2) (pow a2 2))))))) (+ (pow a1 2) (pow a2 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* -1/2 (/ (* (pow 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)))
a2
(+ a2 (* -1/2 (* a2 (pow th 2))))
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))))
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2))))))
1
(+ 1 (* -1/2 (pow th 2)))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(/ (sqrt 2) (+ (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))))
(+ (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))))) (* -1/2 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))))) (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(+ (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (+ (* 1/48 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/2 (+ (* -1/4 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))) (+ (* -1/4 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))))) (* -1/2 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))))) (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(sqrt 2)
(+ (sqrt 2) (* 1/2 (* (pow th 2) (sqrt 2))))
(+ (sqrt 2) (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
(+ (sqrt 2) (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (sqrt 2)) (+ (* 1/48 (sqrt 2)) (* 1/2 (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2)))))))) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(cos th)
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2))))
(/ (sqrt 2) (cos th))

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	a2	@	inf	((* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (+ (* a2 a2) (* a1 a1)) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ a2 (sqrt 2)) (sqrt 2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (cos th) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* a1 a1) (/ 1 (/ (/ (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2) (cos th)) (/ a1 (sqrt 2)) (* (/ a1 (sqrt 2)) a1))
4.0ms	a1	@	inf	((* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (+ (* a2 a2) (* a1 a1)) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ a2 (sqrt 2)) (sqrt 2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (cos th) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* a1 a1) (/ 1 (/ (/ (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2) (cos th)) (/ a1 (sqrt 2)) (* (/ a1 (sqrt 2)) a1))
4.0ms	a1	@	0	((* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (+ (* a2 a2) (* a1 a1)) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ a2 (sqrt 2)) (sqrt 2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (cos th) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* a1 a1) (/ 1 (/ (/ (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2) (cos th)) (/ a1 (sqrt 2)) (* (/ a1 (sqrt 2)) a1))
4.0ms	th	@	inf	((* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (+ (* a2 a2) (* a1 a1)) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ a2 (sqrt 2)) (sqrt 2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (cos th) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* a1 a1) (/ 1 (/ (/ (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2) (cos th)) (/ a1 (sqrt 2)) (* (/ a1 (sqrt 2)) a1))
4.0ms	a2	@	0	((* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (+ (* a2 a2) (* a1 a1)) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ a2 (sqrt 2)) (sqrt 2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (cos th) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* a1 a1) (/ 1 (/ (/ (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2) (cos th)) (/ a1 (sqrt 2)) (* (/ a1 (sqrt 2)) a1))

simplify225.0ms (3.1%)

Memory

-2.8MiB live, 151.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	320	1853
1	1068	1732
2	4188	1708
0	8129	1586

Stop Event

1×	iter limit
1×	node limit

Counts

81 → 80

Calls

Call 1

Inputs
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(* (pow a2 2) (cos th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(pow a1 2)
(/ (sqrt 2) (* (pow a2 2) (cos th)))
(+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 4) (cos th)))) (/ (sqrt 2) (* (pow a2 2) (cos th))))
(+ (* (pow a1 2) (- (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 6) (cos th))) (/ (sqrt 2) (* (pow a2 4) (cos th))))) (/ (sqrt 2) (* (pow a2 2) (cos th))))
(+ (* (pow a1 2) (- (* (pow a1 2) (- (* -1 (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 8) (cos th)))) (* -1 (/ (sqrt 2) (* (pow a2 6) (cos th)))))) (/ (sqrt 2) (* (pow a2 4) (cos th))))) (/ (sqrt 2) (* (pow a2 2) (cos th))))
(/ a1 (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (* (cos th) (sqrt 1/2)))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(* (pow a1 2) (cos th))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (sqrt 2) (* (pow a1 2) (cos th)))
(/ (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th)))) (/ (sqrt 2) (cos th))) (pow a1 2))
(/ (- (+ (/ (sqrt 2) (cos th)) (/ (* (pow a2 4) (sqrt 2)) (* (pow a1 4) (cos th)))) (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th)))) (pow a1 2))
(/ (- (+ (* -1 (/ (* (pow a2 6) (sqrt 2)) (* (pow a1 6) (cos th)))) (/ (sqrt 2) (cos th))) (+ (* -1 (/ (* (pow a2 4) (sqrt 2)) (* (pow a1 4) (cos th)))) (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th))))) (pow a1 2))
(/ a2 (sqrt 2))
(* a2 (cos th))
(+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 4) (cos th)))) (/ (sqrt 2) (* (pow a1 2) (cos th))))
(+ (* (pow a2 2) (- (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 6) (cos th))) (/ (sqrt 2) (* (pow a1 4) (cos th))))) (/ (sqrt 2) (* (pow a1 2) (cos th))))
(+ (* (pow a2 2) (- (* (pow a2 2) (- (* -1 (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 8) (cos th)))) (* -1 (/ (sqrt 2) (* (pow a1 6) (cos th)))))) (/ (sqrt 2) (* (pow a1 4) (cos th))))) (/ (sqrt 2) (* (pow a1 2) (cos th))))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th)))) (/ (sqrt 2) (cos th))) (pow a2 2))
(/ (- (+ (/ (sqrt 2) (cos th)) (/ (* (pow a1 4) (sqrt 2)) (* (pow a2 4) (cos th)))) (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th)))) (pow a2 2))
(/ (- (+ (* -1 (/ (* (pow a1 6) (sqrt 2)) (* (pow a2 6) (cos th)))) (/ (sqrt 2) (cos th))) (+ (* -1 (/ (* (pow a1 4) (sqrt 2)) (* (pow a2 4) (cos th)))) (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th))))) (pow a2 2))
(* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))
(+ (* -1/2 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(+ (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))))))
(+ (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))) (* 1/24 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))))))))
(+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* 1/24 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))))) (+ (pow a1 2) (pow a2 2)))
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (+ (pow a1 2) (pow a2 2))))))) (+ (pow a1 2) (pow a2 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* -1/2 (/ (* (pow 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)))
a2
(+ a2 (* -1/2 (* a2 (pow th 2))))
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))))
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2))))))
1
(+ 1 (* -1/2 (pow th 2)))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(/ (sqrt 2) (+ (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))))
(+ (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))))) (* -1/2 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))))) (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(+ (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (+ (* 1/48 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/2 (+ (* -1/4 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))) (+ (* -1/4 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))))) (* -1/2 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))))) (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(sqrt 2)
(+ (sqrt 2) (* 1/2 (* (pow th 2) (sqrt 2))))
(+ (sqrt 2) (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
(+ (sqrt 2) (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (sqrt 2)) (+ (* 1/48 (sqrt 2)) (* 1/2 (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2)))))))) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(cos th)
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2))))
(/ (sqrt 2) (cos th))

Outputs
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (*.f64 a2 a2))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th))
(* (pow a2 2) (cos th))
(.f64 (.f64 (cos.f64 th) a2) a2)
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))
(pow a2 2)
(*.f64 a2 a2)
(+ (pow a1 2) (pow a2 2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(/ (pow a2 2) (sqrt 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(pow a1 2)
(*.f64 a1 a1)
(/ (sqrt 2) (* (pow a2 2) (cos th)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 th) a2) a2))
(+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 4) (cos th)))) (/ (sqrt 2) (* (pow a2 2) (cos th))))
(fma.f64 (/.f64 (neg.f64 (.f64 a1 a1)) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 (cos.f64 th) a2) a2)))
(+ (* (pow a1 2) (- (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 6) (cos th))) (/ (sqrt 2) (* (pow a2 4) (cos th))))) (/ (sqrt 2) (* (pow a2 2) (cos th))))
(fma.f64 (-.f64 (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (pow.f64 a2 #s(literal 6 binary64))) (/.f64 a1 (cos.f64 th))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 4 binary64)) (cos.f64 th)))) (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 th) a2) a2)))
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(/ a1 (sqrt 2))
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(/ (pow a1 2) (sqrt 2))
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(/ (* (pow a1 2) (cos th)) (sqrt 2))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
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(/ (sqrt 2) (* (pow a1 2) (cos th)))
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(/ (- (+ (/ (sqrt 2) (cos th)) (/ (* (pow a2 4) (sqrt 2)) (* (pow a1 4) (cos th)))) (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th)))) (pow a1 2))
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(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
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(* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))
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a2
(+ a2 (* -1/2 (* a2 (pow th 2))))
(fma.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) a2 a2)
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))))
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1
#s(literal 1 binary64)
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(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
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(/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))
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(+ (* 1/2 (/ (* (pow th 2) (sqrt 2)) (+ (pow a1 2) (pow a2 2)))) (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(fma.f64 (.f64 (.f64 th th) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))))
(+ (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))))) (* -1/2 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))))) (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(fma.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) #s(literal 5/24 binary64)) (.f64 th th) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))) (.f64 th th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (+ (* 1/48 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/2 (+ (* -1/4 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))) (+ (* -1/4 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))))) (* -1/2 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))))) (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) #s(literal 5/24 binary64) (.f64 (.f64 (neg.f64 th) th) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) #s(literal 7/360 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) #s(literal -5/48 binary64))))) (.f64 th th) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))) (.f64 th th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* 1/2 (* (pow th 2) (sqrt 2))))
(.f64 (fma.f64 (.f64 th th) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
(fma.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5/24 binary64)) (.f64 th th) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (sqrt 2)) (+ (* 1/48 (sqrt 2)) (* 1/2 (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2)))))))) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
(fma.f64 (fma.f64 (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5/24 binary64)) (.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 7/360 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/48 binary64))) th) th)) (.f64 th th) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))
(cos th)
(cos.f64 th)
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2))))
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th))
(/ (sqrt 2) (cos th))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))

rewrite187.0ms (2.6%)

Memory

-11.1MiB live, 298.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	181
0	50	167
1	171	160
2	1161	158
0	8320	158

Stop Event

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

Counts

19 → 1 688

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 a2 a1)) (/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (-.f64 a2 a1)))
(.f64 (/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(literal -1 binary64) (cos.f64 th))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (neg.f64 (.f64 a2 a2)))) (fma.f64 a1 a1 (neg.f64 (.f64 a2 a2)))))
(.f64 (/.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 (cos.f64 th) #s(literal -1 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) #s(literal -1 binary64))) (/.f64 (neg.f64 (cos.f64 th)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) #s(literal -1 binary64))) (/.f64 (neg.f64 (cos.f64 th)) (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (neg.f64 (fma.f64 a2 a2 (*.f64 a1 a1))) (cos.f64 th)))
(.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (pow.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) #s(literal -1 binary64))) (/.f64 (cos.f64 th) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (pow.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) #s(literal -1 binary64))) (/.f64 (cos.f64 th) (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))))
(.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (/.f64 (neg.f64 (cos.f64 th)) (pow.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(.f64 (/.f64 (neg.f64 (cos.f64 th)) (pow.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))))
(.f64 (/.f64 (neg.f64 (cos.f64 th)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) #s(literal -1 binary64))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) #s(literal -1 binary64))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))))
(.f64 (/.f64 (cos.f64 th) (pow.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(.f64 (/.f64 (cos.f64 th) (pow.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 th))) (/.f64 (pow.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (pow.f64 (cos.f64 th) #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 th))))
(.f64 (/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(.f64 (/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) #s(literal -1 binary64)) (pow.f64 (cos.f64 th) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 th))) (/.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (pow.f64 (cos.f64 th) #s(literal -1 binary64))) (/.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 th))))
(.f64 (/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(.f64 (/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (cos.f64 th) #s(literal -1 binary64))))
(.f64 (/.f64 (cos.f64 th) #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal -1 binary64)) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (+.f64 a2 a1)) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 a2 a1)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 th))) (/.f64 (neg.f64 (fma.f64 a2 a2 (.f64 a1 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 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (neg.f64 (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 th))))
(.f64 (/.f64 (neg.f64 (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (cos.f64 th)))
(.f64 (.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (pow.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (pow.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)))
(.f64 (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) #s(literal -1 binary64)))
(.f64 (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (fma.f64 a2 a2 (.f64 a1 a1))))
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(/.f64 (/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(literal -1 binary64)))
(/.f64 (+.f64 (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))) (fma.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))) (fma.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 a2 a2 (*.f64 a1 a1))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 a1 a1 (neg.f64 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 (neg.f64 a2) #s(literal -1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.f64 (/.f64 a2 #s(literal -1 binary64)) (/.f64 (neg.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.f64 (/.f64 a1 #s(literal -1 binary64)) (/.f64 (neg.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 (/.f64 (neg.f64 a1) #s(literal -1 binary64)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.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 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 (.f64 (neg.f64 a2) a2) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.f64 (.f64 a2 (neg.f64 a2)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.f64 (.f64 a1 (neg.f64 a1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 (.f64 (neg.f64 a1) a1) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 (neg.f64 (.f64 a2 a2)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.f64 (neg.f64 (.f64 a1 a1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 a2 (pow.f64 a2 #s(literal -1 binary64))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 a1 (pow.f64 a1 #s(literal -1 binary64))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (.f64 a2 a2) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (*.f64 a1 a1)))
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (.f64 a1 a1) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (*.f64 a2 a2)))
(fma.f64 (.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 1/2 binary64)) (/.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 (.f64 a2 a2) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal -1 binary64))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a2 #s(literal -1 binary64))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.f64 (.f64 a1 a1) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(-.f64 (/.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 a1 a1 (neg.f64 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 a1 a1 (neg.f64 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)) (/.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 1/2 binary64)) (/.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (.f64 a2 a2)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (.f64 a1 a1)))
(+.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (.f64 a1 a1)) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (.f64 a2 a2)))
(+.f64 (/.f64 (.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)) (/.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 1/2 binary64)) (/.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (pow.f64 (pow.f64 a2 #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) a2)
(*.f64 (neg.f64 a2) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal -1 binary64))
(/.f64 (neg.f64 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 (neg.f64 a2) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (neg.f64 a2) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 a2) (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)))
(.f64 (/.f64 (.f64 (cos.f64 th) a2) #s(literal -1 binary64)) (/.f64 (neg.f64 a2) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 a2 a2) #s(literal -1 binary64)) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 a2 a2) (/.f64 #s(literal -1 binary64) (cos.f64 th))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 a2 a2) (pow.f64 (cos.f64 th) #s(literal -1 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))
(.f64 (/.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 th))))
(.f64 (/.f64 (.f64 a2 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 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 a2 #s(literal 1 binary64)) (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (neg.f64 a2) #s(literal -1 binary64)) (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 th))) (/.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 a2 (/.f64 #s(literal -1 binary64) (cos.f64 th))) (/.f64 (neg.f64 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 a2 (pow.f64 (cos.f64 th) #s(literal -1 binary64))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (.f64 (cos.f64 th) a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (cos.f64 th) (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 a2) (*.f64 (cos.f64 th) a2)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (neg.f64 (cos.f64 th)) (*.f64 a2 a2)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (*.f64 (cos.f64 th) a2) (neg.f64 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 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2)
(*.f64 (/.f64 (neg.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal -1 binary64) (cos.f64 th))))
(.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 (neg.f64 (.f64 (*.f64 (cos.f64 th) a2) a2)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))
(.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 a2 #s(literal -1 binary64))))
(.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) a2)
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 (.f64 (cos.f64 th) a2) (pow.f64 a2 #s(literal -1 binary64))))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 (.f64 a2 a2) (pow.f64 (cos.f64 th) #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)) #s(literal 1 binary64))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (pow.f64 a2 #s(literal -1 binary64))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (pow.f64 a2 #s(literal -1 binary64))))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (pow.f64 (cos.f64 th) #s(literal -1 binary64))))
(.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) a2))
(.f64 (cos.f64 th) (.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(.f64 a2 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (*.f64 (cos.f64 th) a2)))
(.f64 a2 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 th) a2) a2)) #s(literal -1 binary64))
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(.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (/.f64 #s(literal -1 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))
(.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (fma.f64 a2 a2 (*.f64 a1 a1))) (cos.f64 th))))
(.f64 (/.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (fma.f64 a2 a2 (.f64 a1 a1))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (fma.f64 a2 a2 (.f64 a1 a1))))
(.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (.f64 a1 a1))) #s(literal 1 binary64))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (.f64 a1 a1))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal -1 binary64)) (cos.f64 th)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 (cos.f64 th) #s(literal -1 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1 binary64))
(pow.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) (neg.f64 (cos.f64 th)))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))) (neg.f64 (cos.f64 th)))
(/.f64 (neg.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))) (cos.f64 th))
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) (cos.f64 th))
(/.f64 (neg.f64 (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(literal -1 binary64))) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (neg.f64 (.f64 a2 a2))))) (neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)) (/.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))) (neg.f64 (fma.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -3 binary64)) (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)) #s(literal 3 binary64)))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (neg.f64 (.f64 a2 a2)))) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (pow.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(literal -1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)) (/.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))) (fma.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -3 binary64)) (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)) #s(literal 3 binary64))))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (neg.f64 (fma.f64 a2 a2 (*.f64 a1 a1))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (fma.f64 a2 a2 (.f64 a1 a1))) (cos.f64 th)))
(/.f64 (/.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (.f64 (neg.f64 (fma.f64 a2 a2 (.f64 a1 a1))) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1 binary64))
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 th)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))))
(/.f64 #s(literal 1 binary64) (.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))))
(neg.f64 (/.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(-.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)))) (fma.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -3 binary64)) (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)) #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (cos.f64 th) a2) a2)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -3 binary64)) (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)) #s(literal 3 binary64)))))
(-.f64 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64))) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 a2 a2 (.f64 a1 a1)))) (/.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (fma.f64 a2 a2 (.f64 a1 a1))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 (fma.f64 a2 a2 (.f64 a1 a1))) (cos.f64 th))) (/.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(exp.f64 (neg.f64 (.f64 (log.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (.f64 a1 a1)))) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64))) (/.f64 (pow.f64 (cos.f64 th) #s(literal -1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 th)))
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (cos.f64 th) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 th)) (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (cos.f64 th) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 th) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 th)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (cos.f64 th) #s(literal -1 binary64)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 1 binary64))
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (cos.f64 th) #s(literal -1 binary64))) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))
(/.f64 (pow.f64 (cos.f64 th) #s(literal -1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal -1 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (cos.f64 th)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 th))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (pow.f64 (pow.f64 a1 #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) a1)
(*.f64 (neg.f64 a1) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a1 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #s(literal -1 binary64))
(/.f64 (neg.f64 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 (neg.f64 a1) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (neg.f64 a1) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 a1) (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) #s(literal -1 binary64)))
(*.f64 (/.f64 a1 #s(literal -1 binary64)) (/.f64 (neg.f64 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 a1) #s(literal -1 binary64)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.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 (neg.f64 a1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (neg.f64 a1) a1) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (neg.f64 (.f64 a1 a1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 a1 (pow.f64 a1 #s(literal -1 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal -1 binary64))))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(.f64 (.f64 a1 a1) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (*.f64 a1 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 a1 (neg.f64 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 a1) a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a1 (neg.f64 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 a1) a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 a1) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (neg.f64 a1))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 a1) a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(exp.f64 (-.f64 (.f64 (log.f64 a1) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 a1) #s(literal 2 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))))

eval175.0ms (2.4%)

Memory: 12.0MiB live, 334.1MiB allocated
Compiler: Compiled 38 267 to 3 573 computations (90.7% saved)

prune46.0ms (0.6%)

Memory

13.3MiB live, 131.6MiB allocated

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	1 280	27	1 307
Fresh	6	2	8
Picked	4	1	5
Done	0	0	0
Total	1 290	30	1 320

Accuracy

100.0%

Counts

1 320 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.3%	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
	60.9%	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64)) (.f64 th th) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
▶	66.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (fma.f64 a2 a2 (.f64 a1 a1))))
	59.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt 2) (cos th)) (.f64 (fma.f64 (.f64 th th) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a2 a2 (*.f64 a1 a1))))
	66.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))))
	99.6%	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
	99.6%	(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
	66.3%	#s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	66.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
	66.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (.f64 (neg.f64 a2) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))) a2 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
	66.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (.f64 (neg.f64 a2) a2) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
	66.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
	60.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
	54.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)))))
▶	36.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
	98.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (cos.f64 th) a2))))
	99.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
	99.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)))
✓	99.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	64.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(approx (cos th) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	60.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(approx (cos th) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64)) (.f64 th th) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	66.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
▶	60.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) (fma.f64 (fma.f64 (.f64 (.f64 th th) a2) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) a2)) (.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	44.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (.f64 (fma.f64 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a2 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
	65.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
	29.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) a2) a2) (.f64 th (/.f64 th (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))
	67.0%	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64)))))
▶	66.3%	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))))
▶	99.6%	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th)))
	99.2%	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (*.f64 a2 a2)))

Compiler

Compiled 1 901 to 1 205 computations (36.6% saved)

simplify141.0ms (2%)

Memory

-29.0MiB live, 131.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
cost-diff	0	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
cost-diff	4	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)))
cost-diff	7	(/.f64 (fma.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
cost-diff	0	(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (fma.f64 a2 a2 (.f64 a1 a1)))
cost-diff	2	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (fma.f64 a2 a2 (.f64 a1 a1))))
cost-diff	0	#s(approx (* (cos th) a2) (fma.f64 (fma.f64 (.f64 (.f64 th th) a2) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) a2)) (.f64 th th) a2))
cost-diff	0	(.f64 #s(approx ( (cos th) a2) (fma.f64 (fma.f64 (.f64 (.f64 th th) a2) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) a2)) (.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) (fma.f64 (fma.f64 (.f64 (.f64 th th) a2) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) a2)) (.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	2	(fma.f64 (.f64 (.f64 th th) a2) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) a2))
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 1/2 binary64)))
cost-diff	0	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))))
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 1/2 binary64)))
cost-diff	0	(.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th))
cost-diff	0	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	443
0	83	429
1	146	429
2	289	410
3	613	410
4	1129	410
5	1635	410
6	2194	410
7	3435	400
8	6302	398
9	7116	398
10	7214	398
11	7467	398
12	7942	398
0	8002	391

Stop Event

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

Calls

Call 1

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

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

localize138.0ms (1.9%)

Memory

4.1MiB live, 247.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	6.251130148553489	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)))
accuracy	7.8064872747435485	(fma.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
accuracy	20.61470337259345	(/.f64 (fma.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))))
accuracy	21.4808775717911	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
accuracy	0.213222509768442	(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
accuracy	0.31776140604277264	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (fma.f64 a2 a2 (.f64 a1 a1))))
accuracy	0.5779097216388992	(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (fma.f64 a2 a2 (.f64 a1 a1)))
accuracy	30.617324923600282	#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	0.31377132461755874	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) (fma.f64 (fma.f64 (.f64 (.f64 th th) a2) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) a2)) (.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0.41015625	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
accuracy	6.385801473156843	(.f64 (.f64 th th) a2)
accuracy	30.53934870689818	#s(approx (* (cos th) a2) (fma.f64 (fma.f64 (.f64 (.f64 th th) a2) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) a2)) (.f64 th th) a2))
accuracy	0.0	(*.f64 a2 a2)
accuracy	0.0	(sqrt.f64 #s(literal 1/2 binary64))
accuracy	0.23046875	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64)))
accuracy	21.4808775717911	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))))
accuracy	0.0	(cos.f64 th)
accuracy	0.0	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th)))
accuracy	0.0859375	(.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th))
accuracy	0.23046875	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64)))

Samples

106.0ms

256×

valid

Compiler

Compiled 327 to 47 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 31.0ms (44.1% of total)

ival-div: 13.0ms (18.5% of total)

ival-add: 8.0ms (11.4% of total)

ival-cos: 6.0ms (8.5% of total)

const: 4.0ms (5.7% of total)

ival-pow: 4.0ms (5.7% of total)

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

exact: 1.0ms (1.4% of total)

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

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

series46.0ms (0.6%)

Memory

9.7MiB live, 87.2MiB allocated

Counts

23 → 91

Calls

Call 1

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

Outputs
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(* (pow a2 2) (sqrt 1/2))
(+ (* (pow a1 2) (sqrt 1/2)) (* (pow a2 2) (sqrt 1/2)))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (sqrt 2) (* (pow a2 2) (cos th)))
(+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 4) (cos th)))) (/ (sqrt 2) (* (pow a2 2) (cos th))))
(+ (* (pow a1 2) (- (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 6) (cos th))) (/ (sqrt 2) (* (pow a2 4) (cos th))))) (/ (sqrt 2) (* (pow a2 2) (cos th))))
(+ (* (pow a1 2) (- (* (pow a1 2) (- (* -1 (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 8) (cos th)))) (* -1 (/ (sqrt 2) (* (pow a2 6) (cos th)))))) (/ (sqrt 2) (* (pow a2 4) (cos th))))) (/ (sqrt 2) (* (pow a2 2) (cos th))))
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (pow (sqrt 2) 2) (* (pow a1 2) a2))
(/ (* a2 (sqrt 2)) (pow a1 2))
(/ (+ (* a2 (sqrt 2)) (/ (* (pow a1 2) (sqrt 2)) a2)) (pow a1 2))
(* (pow a1 2) (* (cos th) (sqrt 1/2)))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(* (pow a1 2) (sqrt 1/2))
(* (pow a1 2) (+ (sqrt 1/2) (/ (* (pow a2 2) (sqrt 1/2)) (pow a1 2))))
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (sqrt 2) (* (pow a1 2) (cos th)))
(/ (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th)))) (/ (sqrt 2) (cos th))) (pow a1 2))
(/ (- (+ (/ (sqrt 2) (cos th)) (/ (* (pow a2 4) (sqrt 2)) (* (pow a1 4) (cos th)))) (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th)))) (pow a1 2))
(/ (- (+ (* -1 (/ (* (pow a2 6) (sqrt 2)) (* (pow a1 6) (cos th)))) (/ (sqrt 2) (cos th))) (+ (* -1 (/ (* (pow a2 4) (sqrt 2)) (* (pow a1 4) (cos th)))) (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th))))) (pow a1 2))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ (sqrt 2) a2)
(+ (/ (sqrt 2) a2) (/ (* a2 (sqrt 2)) (pow a1 2)))
(* a2 (- (* 1/24 (pow th 2)) 1/2))
(* a2 (cos th))
(+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 4) (cos th)))) (/ (sqrt 2) (* (pow a1 2) (cos th))))
(+ (* (pow a2 2) (- (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 6) (cos th))) (/ (sqrt 2) (* (pow a1 4) (cos th))))) (/ (sqrt 2) (* (pow a1 2) (cos th))))
(+ (* (pow a2 2) (- (* (pow a2 2) (- (* -1 (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 8) (cos th)))) (* -1 (/ (sqrt 2) (* (pow a1 6) (cos th)))))) (/ (sqrt 2) (* (pow a1 4) (cos th))))) (/ (sqrt 2) (* (pow a1 2) (cos th))))
(/ (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) a2)
(* a2 (pow th 2))
(/ a2 (sqrt 2))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
(* (pow a2 2) (+ (sqrt 1/2) (/ (* (pow a1 2) (sqrt 1/2)) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th)))) (/ (sqrt 2) (cos th))) (pow a2 2))
(/ (- (+ (/ (sqrt 2) (cos th)) (/ (* (pow a1 4) (sqrt 2)) (* (pow a2 4) (cos th)))) (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th)))) (pow a2 2))
(/ (- (+ (* -1 (/ (* (pow a1 6) (sqrt 2)) (* (pow a2 6) (cos th)))) (/ (sqrt 2) (cos th))) (+ (* -1 (/ (* (pow a1 4) (sqrt 2)) (* (pow a2 4) (cos th)))) (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th))))) (pow a2 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* a2 (+ (/ (sqrt 2) (pow a1 2)) (/ (sqrt 2) (pow a2 2))))
(* -1 (* a2 (+ 1/2 (* -1/24 (pow th 2)))))
(* -1 (* a2 (+ (* -1 (/ (sqrt 2) (pow a1 2))) (* -1 (/ (sqrt 2) (pow a2 2))))))
(* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))
(+ (* -1/2 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(+ (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))))))
(+ (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))) (* 1/24 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))))))))
(* -1/2 a2)
(+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* -1/2 (/ (* (pow 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)))
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))))))
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(/ (sqrt 2) (+ (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))))
(+ (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))))) (* -1/2 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))))) (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(+ (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (+ (* 1/48 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/2 (+ (* -1/4 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))) (+ (* -1/4 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))))) (* -1/2 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))))) (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(sqrt 2)
(+ (sqrt 2) (* 1/2 (* (pow th 2) (sqrt 2))))
(+ (sqrt 2) (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
(+ (sqrt 2) (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (sqrt 2)) (+ (* 1/48 (sqrt 2)) (* 1/2 (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2)))))))) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
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) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(* 1/24 (* a2 (pow th 2)))
(* (pow th 2) (+ (* -1/2 (/ a2 (pow th 2))) (* 1/24 a2)))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2))))
(/ (sqrt 2) (cos th))
(cos th)

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	a2	@	-inf	((* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (cos th)) (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (+ (* a1 a1) (* a2 a2)) (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* a2 a2) (+ (* (* (* th th) a2) 1/24) (* -1/2 a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (/ 1 (/ (/ (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2) (cos th)) (sqrt 2) (/ (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (* (/ (sqrt 2) a2) (/ (sqrt 2) (* a1 a1)))) (* (/ (sqrt 2) a2) (/ (sqrt 2) (* a1 a1))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (cos th) (sqrt 1/2) (* (* th th) a2) (/ a2 (sqrt 2)) (cos th))
8.0ms	a2	@	0	((* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (cos th)) (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (+ (* a1 a1) (* a2 a2)) (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* a2 a2) (+ (* (* (* th th) a2) 1/24) (* -1/2 a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (/ 1 (/ (/ (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2) (cos th)) (sqrt 2) (/ (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (* (/ (sqrt 2) a2) (/ (sqrt 2) (* a1 a1)))) (* (/ (sqrt 2) a2) (/ (sqrt 2) (* a1 a1))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (cos th) (sqrt 1/2) (* (* th th) a2) (/ a2 (sqrt 2)) (cos th))
5.0ms	a2	@	inf	((* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (cos th)) (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (+ (* a1 a1) (* a2 a2)) (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* a2 a2) (+ (* (* (* th th) a2) 1/24) (* -1/2 a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (/ 1 (/ (/ (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2) (cos th)) (sqrt 2) (/ (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (* (/ (sqrt 2) a2) (/ (sqrt 2) (* a1 a1)))) (* (/ (sqrt 2) a2) (/ (sqrt 2) (* a1 a1))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (cos th) (sqrt 1/2) (* (* th th) a2) (/ a2 (sqrt 2)) (cos th))
4.0ms	a1	@	0	((* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (cos th)) (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (+ (* a1 a1) (* a2 a2)) (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* a2 a2) (+ (* (* (* th th) a2) 1/24) (* -1/2 a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (/ 1 (/ (/ (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2) (cos th)) (sqrt 2) (/ (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (* (/ (sqrt 2) a2) (/ (sqrt 2) (* a1 a1)))) (* (/ (sqrt 2) a2) (/ (sqrt 2) (* a1 a1))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (cos th) (sqrt 1/2) (* (* th th) a2) (/ a2 (sqrt 2)) (cos th))
3.0ms	a1	@	inf	((* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (cos th)) (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (+ (* a1 a1) (* a2 a2)) (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* a2 a2) (+ (* (* (* th th) a2) 1/24) (* -1/2 a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (/ 1 (/ (/ (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1)))) (/ (/ (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (/ (sqrt 2) (cos th)) (sqrt 2) (/ (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (* (/ (sqrt 2) a2) (/ (sqrt 2) (* a1 a1)))) (* (/ (sqrt 2) a2) (/ (sqrt 2) (* a1 a1))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (cos th) (sqrt 1/2) (* (* th th) a2) (/ a2 (sqrt 2)) (cos th))

simplify160.0ms (2.2%)

Memory

-12.1MiB live, 225.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	339	1888
1	1102	1786
2	4187	1584
0	8484	1482

Stop Event

1×	iter limit
1×	node limit

Counts

91 → 90

Calls

Call 1

Inputs
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(* (pow a2 2) (sqrt 1/2))
(+ (* (pow a1 2) (sqrt 1/2)) (* (pow a2 2) (sqrt 1/2)))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (sqrt 2) (* (pow a2 2) (cos th)))
(+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 4) (cos th)))) (/ (sqrt 2) (* (pow a2 2) (cos th))))
(+ (* (pow a1 2) (- (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 6) (cos th))) (/ (sqrt 2) (* (pow a2 4) (cos th))))) (/ (sqrt 2) (* (pow a2 2) (cos th))))
(+ (* (pow a1 2) (- (* (pow a1 2) (- (* -1 (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 8) (cos th)))) (* -1 (/ (sqrt 2) (* (pow a2 6) (cos th)))))) (/ (sqrt 2) (* (pow a2 4) (cos th))))) (/ (sqrt 2) (* (pow a2 2) (cos th))))
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (pow (sqrt 2) 2) (* (pow a1 2) a2))
(/ (* a2 (sqrt 2)) (pow a1 2))
(/ (+ (* a2 (sqrt 2)) (/ (* (pow a1 2) (sqrt 2)) a2)) (pow a1 2))
(* (pow a1 2) (* (cos th) (sqrt 1/2)))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(* (pow a1 2) (sqrt 1/2))
(* (pow a1 2) (+ (sqrt 1/2) (/ (* (pow a2 2) (sqrt 1/2)) (pow a1 2))))
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (sqrt 2) (* (pow a1 2) (cos th)))
(/ (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th)))) (/ (sqrt 2) (cos th))) (pow a1 2))
(/ (- (+ (/ (sqrt 2) (cos th)) (/ (* (pow a2 4) (sqrt 2)) (* (pow a1 4) (cos th)))) (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th)))) (pow a1 2))
(/ (- (+ (* -1 (/ (* (pow a2 6) (sqrt 2)) (* (pow a1 6) (cos th)))) (/ (sqrt 2) (cos th))) (+ (* -1 (/ (* (pow a2 4) (sqrt 2)) (* (pow a1 4) (cos th)))) (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th))))) (pow a1 2))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ (sqrt 2) a2)
(+ (/ (sqrt 2) a2) (/ (* a2 (sqrt 2)) (pow a1 2)))
(* a2 (- (* 1/24 (pow th 2)) 1/2))
(* a2 (cos th))
(+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 4) (cos th)))) (/ (sqrt 2) (* (pow a1 2) (cos th))))
(+ (* (pow a2 2) (- (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 6) (cos th))) (/ (sqrt 2) (* (pow a1 4) (cos th))))) (/ (sqrt 2) (* (pow a1 2) (cos th))))
(+ (* (pow a2 2) (- (* (pow a2 2) (- (* -1 (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 8) (cos th)))) (* -1 (/ (sqrt 2) (* (pow a1 6) (cos th)))))) (/ (sqrt 2) (* (pow a1 4) (cos th))))) (/ (sqrt 2) (* (pow a1 2) (cos th))))
(/ (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) a2)
(* a2 (pow th 2))
(/ a2 (sqrt 2))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
(* (pow a2 2) (+ (sqrt 1/2) (/ (* (pow a1 2) (sqrt 1/2)) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th)))) (/ (sqrt 2) (cos th))) (pow a2 2))
(/ (- (+ (/ (sqrt 2) (cos th)) (/ (* (pow a1 4) (sqrt 2)) (* (pow a2 4) (cos th)))) (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th)))) (pow a2 2))
(/ (- (+ (* -1 (/ (* (pow a1 6) (sqrt 2)) (* (pow a2 6) (cos th)))) (/ (sqrt 2) (cos th))) (+ (* -1 (/ (* (pow a1 4) (sqrt 2)) (* (pow a2 4) (cos th)))) (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th))))) (pow a2 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* a2 (+ (/ (sqrt 2) (pow a1 2)) (/ (sqrt 2) (pow a2 2))))
(* -1 (* a2 (+ 1/2 (* -1/24 (pow th 2)))))
(* -1 (* a2 (+ (* -1 (/ (sqrt 2) (pow a1 2))) (* -1 (/ (sqrt 2) (pow a2 2))))))
(* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))
(+ (* -1/2 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(+ (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))))))
(+ (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))) (* 1/24 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))))))))
(* -1/2 a2)
(+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* -1/2 (/ (* (pow 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)))
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))))))
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(/ (sqrt 2) (+ (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))))
(+ (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))))) (* -1/2 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))))) (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(+ (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (+ (* 1/48 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/2 (+ (* -1/4 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))) (+ (* -1/4 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))))) (* -1/2 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))))) (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(sqrt 2)
(+ (sqrt 2) (* 1/2 (* (pow th 2) (sqrt 2))))
(+ (sqrt 2) (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
(+ (sqrt 2) (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (sqrt 2)) (+ (* 1/48 (sqrt 2)) (* 1/2 (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2)))))))) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
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) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(* 1/24 (* a2 (pow th 2)))
(* (pow th 2) (+ (* -1/2 (/ a2 (pow th 2))) (* 1/24 a2)))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2))))
(/ (sqrt 2) (cos th))
(cos th)

Outputs
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (*.f64 a2 a2))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th))
(* (pow a2 2) (sqrt 1/2))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)
(+ (* (pow a1 2) (sqrt 1/2)) (* (pow a2 2) (sqrt 1/2)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64)))
(pow a2 2)
(*.f64 a2 a2)
(+ (pow a1 2) (pow a2 2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(/ (sqrt 2) (* (pow a2 2) (cos th)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))
(+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 4) (cos th)))) (/ (sqrt 2) (* (pow a2 2) (cos th))))
(fma.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 (*.f64 a1 a1) (cos.f64 th)) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)))
(+ (* (pow a1 2) (- (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 6) (cos th))) (/ (sqrt 2) (* (pow a2 4) (cos th))))) (/ (sqrt 2) (* (pow a2 2) (cos th))))
(fma.f64 (-.f64 (.f64 (/.f64 (.f64 a1 a1) (cos.f64 th)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 4 binary64)) (cos.f64 th)))) (.f64 a1 a1) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)))
(+ (* (pow a1 2) (- (* (pow a1 2) (- (* -1 (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 8) (cos th)))) (* -1 (/ (sqrt 2) (* (pow a2 6) (cos th)))))) (/ (sqrt 2) (* (pow a2 4) (cos th))))) (/ (sqrt 2) (* (pow a2 2) (cos th))))
(fma.f64 (.f64 #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 (/.f64 a1 (pow.f64 a2 #s(literal 8 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 6 binary64))))) (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 4 binary64)) (cos.f64 th))))) (*.f64 a1 a1) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)))
(/ (pow a2 2) (sqrt 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(/ (pow (sqrt 2) 2) (* (pow a1 2) a2))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 a1 a1) a2))
(/ (* a2 (sqrt 2)) (pow a1 2))
(*.f64 (/.f64 a2 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(/ (+ (* a2 (sqrt 2)) (/ (* (pow a1 2) (sqrt 2)) a2)) (pow a1 2))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (.f64 a1 a1) a2) a2)) (*.f64 a1 a1))
(* (pow a1 2) (* (cos th) (sqrt 1/2)))
(.f64 (.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (.f64 a2 a2)) (.f64 a1 a1))) (.f64 a1 a1))
(* (pow a1 2) (sqrt 1/2))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1) a1)
(* (pow a1 2) (+ (sqrt 1/2) (/ (* (pow a2 2) (sqrt 1/2)) (pow a1 2))))
(.f64 (fma.f64 (/.f64 (.f64 a2 a2) a1) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 a1 a1))
(pow a1 2)
(*.f64 a1 a1)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (.f64 a1 a1))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(/ (sqrt 2) (* (pow a1 2) (cos th)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 th) a1) a1))
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a2
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1
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(cos th)
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rewrite195.0ms (2.7%)

Memory

-3.5MiB live, 316.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	346
0	83	332
1	290	316
2	2243	316
0	8472	316

Stop Event

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

Counts

23 → 717

Calls

Call 1

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

Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)))
(.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (cos.f64 th) (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))) (neg.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))) (neg.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))) (neg.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))) (neg.f64 (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))) (neg.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))) (neg.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))))) (neg.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))))) (neg.f64 (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (+.f64 a2 a1) (-.f64 a2 a1)))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64))))
(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (.f64 (+.f64 a2 a1) (-.f64 a2 a1)))
(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))))
(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64))))
(fma.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a2 a2)))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a1 a1)))
(fma.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 a2)))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a1 a1)))
(.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (pow.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64))) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))) (neg.f64 (neg.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))) (neg.f64 (neg.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 a2 #s(literal 4 binary64)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (pow.f64 a1 #s(literal 4 binary64)))) (.f64 (.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.f64 (-.f64 (.f64 (pow.f64 a1 #s(literal 4 binary64)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(/.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64))) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64))) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))))
(fma.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)) (*.f64 a2 a2))
(fma.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2)) (*.f64 a1 a1))
(fma.f64 (neg.f64 a2) (neg.f64 a2) (*.f64 a1 a1))
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(-.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(-.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2)))
(*.f64 (neg.f64 a2) (neg.f64 a2))
(*.f64 a2 a2)
(pow.f64 (exp.f64 (log.f64 a2)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a2) #s(literal 2 binary64))
(pow.f64 (*.f64 a2 a2) #s(literal 1 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 a2 a2))) (pow.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) a2 (*.f64 #s(literal 1/2 binary64) a2)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 (.f64 (.f64 th th) a2) #s(literal 2 binary64)) (.f64 (.f64 a2 #s(literal -1/2 binary64)) (-.f64 (.f64 a2 #s(literal -1/2 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) a2 (.f64 #s(literal 1/2 binary64) a2)) (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 a2 a2)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 (.f64 (.f64 th th) a2) #s(literal 2 binary64)) (.f64 (.f64 a2 #s(literal -1/2 binary64)) (-.f64 (.f64 a2 #s(literal -1/2 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2))))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 (*.f64 th th) a2)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 a2 a2)) (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 a2 #s(literal -1/2 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (*.f64 th th) a2)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 a2 a2))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) a2 (.f64 #s(literal 1/2 binary64) a2)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 (.f64 (.f64 th th) a2) #s(literal 2 binary64)) (.f64 (.f64 a2 #s(literal -1/2 binary64)) (-.f64 (.f64 a2 #s(literal -1/2 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (*.f64 th th) a2))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) a2 (.f64 #s(literal 1/2 binary64) a2))) (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) a2 (.f64 #s(literal 1/2 binary64) a2)) (.f64 #s(literal 1/4 binary64) (.f64 a2 a2)))) (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) a2 (.f64 #s(literal 1/2 binary64) a2)) (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) a2 (.f64 #s(literal 1/2 binary64) a2))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 a2 a2)) (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2)) #s(literal 2 binary64))) (-.f64 (.f64 a2 #s(literal -1/2 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (*.f64 th th) a2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 a2 a2)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) a2 (.f64 #s(literal 1/2 binary64) a2))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 a2 a2) (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2)) a2) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 (.f64 (.f64 th th) a2) #s(literal 2 binary64)) (.f64 (.f64 a2 #s(literal -1/2 binary64)) (-.f64 (.f64 a2 #s(literal -1/2 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (*.f64 th th) a2)))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 a2 a2))) (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) a2 (.f64 #s(literal 1/2 binary64) a2)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 a2 a2) (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2)) a2) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/576 binary64) (pow.f64 (.f64 (.f64 th th) a2) #s(literal 2 binary64)) (.f64 (.f64 a2 #s(literal -1/2 binary64)) (-.f64 (.f64 a2 #s(literal -1/2 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (*.f64 th th) a2))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) a2 (.f64 #s(literal 1/2 binary64) a2)) (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 a2 a2))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 (.f64 (.f64 th th) a2) #s(literal 2 binary64)) (.f64 (.f64 a2 #s(literal -1/2 binary64)) (-.f64 (.f64 a2 #s(literal -1/2 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2))))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 (*.f64 th th) a2)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) a2 (.f64 #s(literal 1/2 binary64) a2)) (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 a2 a2)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 (.f64 (.f64 th th) a2) #s(literal 2 binary64)) (.f64 (.f64 a2 #s(literal -1/2 binary64)) (-.f64 (.f64 a2 #s(literal -1/2 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2))))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 (*.f64 th th) a2)) #s(literal 3 binary64)))))
(fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) a2 (*.f64 a2 #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/24 binary64) th) (.f64 th a2) (*.f64 a2 #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/24 binary64) a2) (.f64 th th) (*.f64 a2 #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2) (*.f64 a2 #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 th th) a2) #s(literal 1/24 binary64) (*.f64 a2 #s(literal -1/2 binary64)))
(fma.f64 (.f64 th th) (.f64 #s(literal 1/24 binary64) a2) (*.f64 a2 #s(literal -1/2 binary64)))
(fma.f64 th (.f64 (.f64 th a2) #s(literal 1/24 binary64)) (*.f64 a2 #s(literal -1/2 binary64)))
(fma.f64 th (.f64 th (.f64 #s(literal 1/24 binary64) a2)) (*.f64 a2 #s(literal -1/2 binary64)))
(fma.f64 a2 (.f64 (.f64 th th) #s(literal 1/24 binary64)) (*.f64 a2 #s(literal -1/2 binary64)))
(fma.f64 a2 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (*.f64 th th) a2)))
(fma.f64 #s(literal -1/2 binary64) a2 (.f64 #s(literal 1/24 binary64) (.f64 (*.f64 th th) a2)))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) a2 (.f64 #s(literal 1/2 binary64) a2))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 a2 a2)) (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) a2 (*.f64 #s(literal 1/2 binary64) a2))))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2)) (.f64 a2 #s(literal -1/2 binary64)))
(+.f64 (.f64 a2 #s(literal -1/2 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(approx ( (cos th) a2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2) (.f64 a2 #s(literal -1/2 binary64))) (.f64 th th) a2))))
(.f64 (.f64 #s(approx (* (cos th) a2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2) (.f64 a2 #s(literal -1/2 binary64))) (.f64 th th) a2)) a2) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))
(.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(approx ( (cos th) a2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2) (.f64 a2 #s(literal -1/2 binary64))) (.f64 th th) a2)))
(.f64 #s(approx ( (cos th) a2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2) (.f64 a2 #s(literal -1/2 binary64))) (.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(.f64 a2 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(approx (* (cos th) a2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2) (.f64 a2 #s(literal -1/2 binary64))) (.f64 th th) a2))))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(approx ( (cos th) a2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2) (.f64 a2 #s(literal -1/2 binary64))) (.f64 th th) a2)) a2)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (neg.f64 a2) #s(approx ( (cos th) a2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2) (.f64 a2 #s(literal -1/2 binary64))) (.f64 th th) a2)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) #s(approx ( (cos th) a2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2) (.f64 a2 #s(literal -1/2 binary64))) (.f64 th th) a2)))) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(/.f64 (neg.f64 (.f64 #s(approx ( (cos th) a2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2) (.f64 a2 #s(literal -1/2 binary64))) (.f64 th th) a2)) (neg.f64 a2))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 #s(approx ( (cos th) a2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2) (.f64 a2 #s(literal -1/2 binary64))) (.f64 th th) a2)) #s(literal 1 binary64))) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(approx ( (cos th) a2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2) (.f64 a2 #s(literal -1/2 binary64))) (.f64 th th) a2)) a2))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 #s(approx (* (cos th) a2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2) (.f64 a2 #s(literal -1/2 binary64))) (.f64 th th) a2))) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(/.f64 (.f64 (neg.f64 a2) #s(approx ( (cos th) a2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2) (.f64 a2 #s(literal -1/2 binary64))) (.f64 th th) a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) #s(approx ( (cos th) a2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2) (.f64 a2 #s(literal -1/2 binary64))) (.f64 th th) a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(/.f64 (.f64 #s(approx ( (cos th) a2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2) (.f64 a2 #s(literal -1/2 binary64))) (.f64 th th) a2)) (neg.f64 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 #s(approx ( (cos th) a2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2) (.f64 a2 #s(literal -1/2 binary64))) (.f64 th th) a2)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(/.f64 (neg.f64 (.f64 #s(approx ( (cos th) a2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2) (.f64 a2 #s(literal -1/2 binary64))) (.f64 th th) a2)) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 #s(approx ( (cos th) a2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2) (.f64 a2 #s(literal -1/2 binary64))) (.f64 th th) a2)) a2) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(approx ( (cos th) a2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2) (.f64 a2 #s(literal -1/2 binary64))) (.f64 th th) a2)) a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(approx ( (cos th) a2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2) (.f64 a2 #s(literal -1/2 binary64))) (.f64 th th) a2)) a2)))
(/.f64 #s(approx (* (cos th) a2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2) (.f64 a2 #s(literal -1/2 binary64))) (.f64 th th) a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
#s(approx (* (cos th) a2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2) (.f64 a2 #s(literal -1/2 binary64))) (.f64 th th) a2))
(.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (pow.f64 (pow.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))))
(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 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))))
(.f64 (pow.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (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(literal 1/2 binary64)) (pow.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (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(literal 1/2 binary64)))
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(sqrt.f64 #s(literal 1/2 binary64))
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(*.f64 (pow.f64 (pow.f64 (neg.f64 a2) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 a2 #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 a2) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 a2))
(*.f64 (neg.f64 a2) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a2 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (pow.f64 (pow.f64 a2 #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) a2)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal -1 binary64))
(pow.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 a2))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 a2 #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 a2 #s(literal 1 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (pow.f64 a2 #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 a2) (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (/.f64 a2 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) #s(literal -1 binary64)))
#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))

eval102.0ms (1.4%)

Memory: 29.4MiB live, 220.0MiB allocated
Compiler: Compiled 39 883 to 3 453 computations (91.3% saved)

prune44.0ms (0.6%)

Memory

-9.4MiB live, 116.2MiB allocated

Pruning

35 alts after pruning (33 fresh and 2 done)

	Pruned	Kept	Total
New	903	19	922
Fresh	10	14	24
Picked	4	1	5
Done	0	1	1
Total	917	35	952

Accuracy

100.0%

Counts

952 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a2 a2 (.f64 a1 a1))))
	59.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt 2) (cos th)) (.f64 (fma.f64 (.f64 th th) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a2 a2 (*.f64 a1 a1))))
	66.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))))
	67.0%	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
	66.3%	#s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	66.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
	66.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (.f64 (neg.f64 a2) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))) a2 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
	66.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
	60.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
	54.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)))))
	42.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a2))))
	60.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 #s(approx ( (cos th) a2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) a2) (.f64 a2 #s(literal -1/2 binary64))) (.f64 th th) a2)) a2) (sqrt.f64 #s(literal 2 binary64))))
▶	41.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (.f64 (/.f64 a2 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
	51.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) a1))
	42.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
	99.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
✓	99.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	64.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(approx (cos th) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	66.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	60.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) a2) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	66.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (* (/ (sqrt 2) a2) (/ (sqrt 2) (* a1 a1)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))))
	65.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (* (/ (sqrt 2) a2) (/ (sqrt 2) (* a1 a1)))) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
	14.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (* (/ (sqrt 2) a2) (/ (sqrt 2) (* a1 a1)))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
	44.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (.f64 (fma.f64 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a2 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
▶	67.0%	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64)))))
✓	66.3%	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))))
▶	66.3%	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))) #s(approx (cos th) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th) #s(literal -1/2 binary64)) (.f64 th th) #s(literal 1 binary64)))))
▶	99.7%	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))))
	99.2%	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (*.f64 a2 a2)))
	99.2%	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th)))
	65.8%	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))))
	14.7%	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 1/2 binary64))))
	99.1%	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 #s(approx ( (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)) (cos.f64 th)))
	65.8%	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) #s(approx (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)))
▶	14.7%	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) #s(approx (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1) a1)))

Compiler

Compiled 2 475 to 1 499 computations (39.4% saved)

simplify163.0ms (2.3%)

Memory

-0.3MiB live, 154.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (*.f64 (/.f64 a2 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
cost-diff	0	(/.f64 #s(approx (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (.f64 (/.f64 a2 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))))
cost-diff	0	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (.f64 (/.f64 a2 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
cost-diff	4	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)))
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 1/2 binary64)))
cost-diff	0	(.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))) #s(approx (cos th) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th) #s(literal -1/2 binary64)) (.f64 th th) #s(literal 1 binary64))))
cost-diff	0	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))) #s(approx (cos th) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th) #s(literal -1/2 binary64)) (.f64 th th) #s(literal 1 binary64)))))
cost-diff	0	(*.f64 th th)
cost-diff	0	(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64)))))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1)
cost-diff	0	(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1) a1)
cost-diff	0	#s(approx (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1) a1))
cost-diff	0	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) #s(approx (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1) a1)))
cost-diff	0	(fma.f64 a1 a1 (*.f64 a2 a2))
cost-diff	0	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))
cost-diff	0	(.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	518
0	93	507
1	160	507
2	310	495
3	749	495
4	1704	495
5	2677	495
6	3591	495
7	4859	495
8	5330	495
9	5610	495
10	5802	495
11	5882	495
12	6475	495
13	7213	495
0	8059	492

Stop Event

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

Calls

Call 1

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

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

localize145.0ms (2%)

Memory

25.5MiB live, 266.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.5756027248973984	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))
accuracy	6.251130148553489	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)))
accuracy	20.61470337259345	(/.f64 #s(approx (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (.f64 (/.f64 a2 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))))
accuracy	21.4808775717911	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (.f64 (/.f64 a2 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
accuracy	0.0859375	(.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))) #s(approx (cos th) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th) #s(literal -1/2 binary64)) (.f64 th th) #s(literal 1 binary64))))
accuracy	0.23046875	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64)))
accuracy	0.27914420734486556	(fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64))
accuracy	30.65641393127911	#s(approx (cos th) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
accuracy	0.0	(sqrt.f64 #s(literal 1/2 binary64))
accuracy	0.23046875	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64)))
accuracy	2.22351646080143	(.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))))
accuracy	21.161796858613894	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64)))))
accuracy	0.1328125	(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1) a1)
accuracy	0.4609375	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1)
accuracy	21.4808775717911	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) #s(approx (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1) a1)))
accuracy	53.325405539434676	#s(approx (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1) a1))
accuracy	0.0	(cos.f64 th)
accuracy	0.0	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))))
accuracy	0.07421875	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))
accuracy	0.2109375	(.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))

Samples

101.0ms

256×

valid

Compiler

Compiled 367 to 50 computations (86.4% saved)

Precisions

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

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

ival-add: 9.0ms (11.8% of total)

const: 9.0ms (11.8% of total)

ival-div: 8.0ms (10.4% of total)

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

ival-sqrt: 4.0ms (5.2% of total)

ival-pow: 4.0ms (5.2% of total)

exact: 1.0ms (1.3% of total)

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

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

series35.0ms (0.5%)

Memory

-12.2MiB live, 68.4MiB allocated

Counts

24 → 71

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	a1	@	0	((* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 1/2)) (* (+ (* a1 a1) (* a2 a2)) (cos th)) (+ (* a1 a1) (* a2 a2)) (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (* (* (sqrt 1/2) a1) a1) (* (sqrt 1/2) a1) (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* (+ (* (* th th) -1/2) 1) (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2))) (+ (* (* th th) -1/2) 1) (* th th) (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (cos th)) (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (* (/ (sqrt 2) a2) (/ (sqrt 2) (* a1 a1))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (* (/ (sqrt 2) a2) (/ (sqrt 2) (* a1 a1)))) (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (cos th) (sqrt 1/2) (cos th) (+ (* -1/720 (* th th)) 1/24) (/ (sqrt 2) (* a1 a1)))
5.0ms	a2	@	-inf	((* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 1/2)) (* (+ (* a1 a1) (* a2 a2)) (cos th)) (+ (* a1 a1) (* a2 a2)) (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (* (* (sqrt 1/2) a1) a1) (* (sqrt 1/2) a1) (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* (+ (* (* th th) -1/2) 1) (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2))) (+ (* (* th th) -1/2) 1) (* th th) (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (cos th)) (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (* (/ (sqrt 2) a2) (/ (sqrt 2) (* a1 a1))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (* (/ (sqrt 2) a2) (/ (sqrt 2) (* a1 a1)))) (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (cos th) (sqrt 1/2) (cos th) (+ (* -1/720 (* th th)) 1/24) (/ (sqrt 2) (* a1 a1)))
4.0ms	a1	@	-inf	((* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 1/2)) (* (+ (* a1 a1) (* a2 a2)) (cos th)) (+ (* a1 a1) (* a2 a2)) (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (* (* (sqrt 1/2) a1) a1) (* (sqrt 1/2) a1) (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* (+ (* (* th th) -1/2) 1) (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2))) (+ (* (* th th) -1/2) 1) (* th th) (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (cos th)) (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (* (/ (sqrt 2) a2) (/ (sqrt 2) (* a1 a1))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (* (/ (sqrt 2) a2) (/ (sqrt 2) (* a1 a1)))) (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (cos th) (sqrt 1/2) (cos th) (+ (* -1/720 (* th th)) 1/24) (/ (sqrt 2) (* a1 a1)))
4.0ms	a1	@	inf	((* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 1/2)) (* (+ (* a1 a1) (* a2 a2)) (cos th)) (+ (* a1 a1) (* a2 a2)) (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (* (* (sqrt 1/2) a1) a1) (* (sqrt 1/2) a1) (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* (+ (* (* th th) -1/2) 1) (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2))) (+ (* (* th th) -1/2) 1) (* th th) (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (cos th)) (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (* (/ (sqrt 2) a2) (/ (sqrt 2) (* a1 a1))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (* (/ (sqrt 2) a2) (/ (sqrt 2) (* a1 a1)))) (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (cos th) (sqrt 1/2) (cos th) (+ (* -1/720 (* th th)) 1/24) (/ (sqrt 2) (* a1 a1)))
3.0ms	a2	@	inf	((* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 1/2)) (* (+ (* a1 a1) (* a2 a2)) (cos th)) (+ (* a1 a1) (* a2 a2)) (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (* (* (sqrt 1/2) a1) a1) (* (sqrt 1/2) a1) (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* (+ (* (* th th) -1/2) 1) (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2))) (+ (* (* th th) -1/2) 1) (* th th) (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (cos th)) (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (* (/ (sqrt 2) a2) (/ (sqrt 2) (* a1 a1))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (* (/ (sqrt 2) a2) (/ (sqrt 2) (* a1 a1)))) (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (cos th) (sqrt 1/2) (cos th) (+ (* -1/720 (* th th)) 1/24) (/ (sqrt 2) (* a1 a1)))

simplify175.0ms (2.4%)

Memory

-15.8MiB live, 216.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	1095
1	604	1023
2	2273	941
3	7146	892
4	7947	892
0	8052	818

Stop Event

1×	iter limit
1×	node limit

Counts

71 → 71

Calls

Call 1

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

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

rewrite192.0ms (2.7%)

Memory

34.7MiB live, 317.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	405
0	93	394
1	307	378
2	2381	378
0	9012	375

Stop Event

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

Counts

24 → 395

Calls

Call 1

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

Outputs
#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)))
(.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))) (neg.f64 (fma.f64 a2 a2 (*.f64 (neg.f64 a1) a1))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))) (neg.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))) (neg.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))) (neg.f64 (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) (fma.f64 a2 a2 (*.f64 (neg.f64 a1) a1)))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))
(.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (cos.f64 th))) (neg.f64 (fma.f64 a2 a2 (.f64 (neg.f64 a1) a1))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (cos.f64 th))) (neg.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (cos.f64 th))) (neg.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (cos.f64 th))) (neg.f64 (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (cos.f64 th) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))) (neg.f64 (fma.f64 a2 a2 (.f64 (neg.f64 a1) a1))))
(/.f64 (neg.f64 (.f64 (cos.f64 th) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))) (neg.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(/.f64 (neg.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))))) (neg.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))))) (neg.f64 (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (cos.f64 th)) (fma.f64 a2 a2 (.f64 (neg.f64 a1) a1)))
(/.f64 (.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (cos.f64 th)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (cos.f64 th)) (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (cos.f64 th)) (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64))))
(/.f64 (.f64 (cos.f64 th) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (fma.f64 a2 a2 (.f64 (neg.f64 a1) a1)))
(/.f64 (.f64 (cos.f64 th) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(/.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))))
(/.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64))))
(fma.f64 (.f64 (cos.f64 th) a2) a2 (.f64 (*.f64 (cos.f64 th) a1) a1))
(fma.f64 (.f64 (cos.f64 th) a1) a1 (.f64 (*.f64 (cos.f64 th) a2) a2))
(fma.f64 (cos.f64 th) (.f64 a1 a1) (.f64 (*.f64 (cos.f64 th) a2) a2))
(fma.f64 (cos.f64 th) (.f64 a2 a2) (.f64 (*.f64 (cos.f64 th) a1) a1))
(fma.f64 (.f64 a1 a1) (cos.f64 th) (.f64 (*.f64 (cos.f64 th) a2) a2))
(fma.f64 (.f64 a2 a2) (cos.f64 th) (.f64 (*.f64 (cos.f64 th) a1) a1))
(+.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (cos.f64 th) a2) a2))
(+.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 (cos.f64 th) a1) a1))
(.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (pow.f64 (fma.f64 a2 a2 (.f64 (neg.f64 a1) a1)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 a2 a2 (*.f64 (neg.f64 a1) a1)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64))) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 a2 a2 (*.f64 (neg.f64 a1) a1)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))) (neg.f64 (neg.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (neg.f64 (fma.f64 a2 a2 (*.f64 (neg.f64 a1) a1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 a2 a2 (*.f64 (neg.f64 a1) a1)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64))) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))))))
(/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (fma.f64 a2 a2 (*.f64 (neg.f64 a1) a1)))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(/.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 (neg.f64 a1) a1)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64))) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))))
(fma.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)) (*.f64 a2 a2))
(fma.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2)) (*.f64 a1 a1))
(fma.f64 (neg.f64 a2) (neg.f64 a2) (*.f64 a1 a1))
(fma.f64 (neg.f64 a1) (neg.f64 a1) (*.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(-.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (fma.f64 a2 a2 (.f64 (neg.f64 a1) a1))) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (fma.f64 a2 a2 (.f64 (neg.f64 a1) a1))))
(-.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) #s(approx (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1) a1)))
#s(approx (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1) a1))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1) a1)
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a1 a1))
(.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 a1 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1))
(exp.f64 (fma.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 (log.f64 a1) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 a1) #s(literal 2 binary64) (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1)
(*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) (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 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))))) (neg.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 th #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))))) (neg.f64 (fma.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 th th) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) (fma.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) (fma.f64 (pow.f64 th #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 th th) #s(literal -1/2 binary64))))))
(/.f64 (.f64 (fma.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2)))) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 th #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2)))) (fma.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 th th) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) (fma.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) (fma.f64 (pow.f64 th #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 th th) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) (.f64 (.f64 th th) #s(literal -1/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1 binary64)))
(fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) (.f64 (*.f64 th th) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) (.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))))
(+.f64 (.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2)))) (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2)))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2)))) (.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2)))))
(+.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) (.f64 (.f64 th th) #s(literal -1/2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) (.f64 (.f64 th th) #s(literal -1/2 binary64))))
(.f64 (fma.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 th #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 th th) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 th th) #s(literal -1/2 binary64)))) (fma.f64 (pow.f64 th #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal -1 binary64)))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (pow.f64 a1 #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(approx (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (pow.f64 a1 #s(literal -2 binary64)))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) a2) (pow.f64 a1 #s(literal -2 binary64))) #s(approx (+ ( a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (pow.f64 a1 #s(literal -2 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) a2) (pow.f64 a1 #s(literal -2 binary64))) #s(approx (+ ( a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (pow.f64 a1 #s(literal -2 binary64)))))))
(/.f64 (.f64 #s(approx (+ ( a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (pow.f64 a1 #s(literal -2 binary64)))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 a1 #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 #s(approx (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (pow.f64 a1 #s(literal -2 binary64))))) (/.f64 #s(literal -2 binary64) (.f64 (.f64 a1 a1) a2)))
(/.f64 #s(approx (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (pow.f64 a1 #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) a2) (pow.f64 a1 #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) a2) (pow.f64 a1 #s(literal -2 binary64))) #s(approx (+ ( a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (pow.f64 a1 #s(literal -2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 a1 #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(approx (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (pow.f64 a1 #s(literal -2 binary64)))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) a2) (pow.f64 a1 #s(literal -2 binary64))) #s(approx (+ ( a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (pow.f64 a1 #s(literal -2 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal 2 binary64) a2) (pow.f64 a1 #s(literal -2 binary64))) #s(approx (+ ( a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (pow.f64 a1 #s(literal -2 binary64))))))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (pow.f64 a1 #s(literal -2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) a2) (pow.f64 a1 #s(literal -2 binary64)))))
(neg.f64 (/.f64 #s(approx (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (pow.f64 a1 #s(literal -2 binary64)))) (/.f64 #s(literal -2 binary64) (.f64 (.f64 a1 a1) a2))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) a2) (pow.f64 a1 #s(literal -2 binary64))) #s(approx (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (pow.f64 a1 #s(literal -2 binary64)))))) #s(literal -1 binary64)))
#s(approx (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (pow.f64 a1 #s(literal -2 binary64))))
(cos.f64 th)
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (cos th) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 th #s(literal 4 binary64)) #s(literal -1/576 binary64)) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal -1/24 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 th #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (pow.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 th #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (*.f64 th th) #s(literal -1/17280 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 th #s(literal 4 binary64)) #s(literal -1/576 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 th #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 th th) #s(literal -1/17280 binary64)))) (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 th #s(literal 6 binary64)) #s(literal 1/13824 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/518400 binary64) (pow.f64 th #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 th th)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 th #s(literal 4 binary64)) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal -1/24 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 th #s(literal 6 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 th #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 th th) #s(literal -1/17280 binary64)))))))
(/.f64 (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/518400 binary64) (pow.f64 th #s(literal 4 binary64)))) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 th th))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 th #s(literal 4 binary64)) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal -1/24 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 th #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 th #s(literal 4 binary64))) (.f64 (*.f64 th th) #s(literal -1/17280 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 th #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 th #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 th th) #s(literal -1/17280 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 th #s(literal 4 binary64)) #s(literal -1/576 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 th #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 th th) #s(literal -1/17280 binary64)))) (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 th #s(literal 6 binary64)) #s(literal 1/13824 binary64)))))
(/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 th #s(literal 4 binary64)) #s(literal -1/576 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal -1/24 binary64)))
(/.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 th #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 th #s(literal 4 binary64))) (.f64 (*.f64 th th) #s(literal -1/17280 binary64)))))
(/.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 th #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 th #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 th th) #s(literal -1/17280 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 th #s(literal 4 binary64)) #s(literal -1/576 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 th #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 th th) #s(literal -1/17280 binary64)))) (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 th #s(literal 6 binary64)) #s(literal 1/13824 binary64))))
(fma.f64 (*.f64 #s(literal -1/720 binary64) th) th #s(literal 1/24 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64))
(fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 th (*.f64 #s(literal -1/720 binary64) th) #s(literal 1/24 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 th #s(literal 4 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal -1/24 binary64))))
(+.f64 (.f64 #s(literal -1/720 binary64) (.f64 th th)) #s(literal 1/24 binary64))
(+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 th th)))
(*.f64 (pow.f64 a1 #s(literal -2 binary64)) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 a1 #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a1 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (.f64 (neg.f64 a1) a1) #s(literal -1 binary64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (pow.f64 a1 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a1 #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 a1 #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal -1 binary64))
(pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) (neg.f64 (neg.f64 a1)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 (neg.f64 a1) a1))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (neg.f64 a1) a1))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (neg.f64 a1))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (*.f64 (neg.f64 a1) a1)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 a1 a1))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 a1) a1))
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 a1) a1)))
(exp.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (log.f64 a1) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64)))

eval65.0ms (0.9%)

Memory: -7.3MiB live, 151.4MiB allocated
Compiler: Compiled 28 192 to 2 262 computations (92% saved)

prune48.0ms (0.7%)

Memory

-3.2MiB live, 119.3MiB allocated

Pruning

41 alts after pruning (36 fresh and 5 done)

	Pruned	Kept	Total
New	596	13	609
Fresh	5	23	28
Picked	2	3	5
Done	0	2	2
Total	603	41	644

Accuracy

100.0%

Counts

644 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt 2) (cos th)) (.f64 (fma.f64 (.f64 th th) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a2 a2 (*.f64 a1 a1))))
	66.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))))
	67.0%	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
	66.3%	#s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	66.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
	66.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (.f64 (neg.f64 a2) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))) a2 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
	66.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
	60.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
	54.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)))))
	47.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (.f64 (/.f64 a2 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) (/.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a2))))
	42.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (.f64 (/.f64 a2 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 a1 a1) (neg.f64 a2)))))
✓	41.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (.f64 (/.f64 a2 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
	42.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (.f64 (/.f64 a2 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a1 a1) a2)))))
	51.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) a1))
	42.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
	99.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
✓	99.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	64.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(approx (cos th) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	66.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	60.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) a2) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	65.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (* (/ (sqrt 2) a2) (/ (sqrt 2) (* a1 a1)))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
	14.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (* (/ (sqrt 2) a2) (/ (sqrt 2) (* a1 a1)))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
	66.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 (/ (sqrt 2) (* a1 a1))) (/ (sqrt 2) a2)) (* (/ (sqrt 2) a2) (/ (sqrt 2) (* a1 a1)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))))
	44.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (.f64 (fma.f64 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a2 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
	28.8%	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (fma.f64 (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th) #s(literal -1/2 binary64))) (.f64 th th) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64)))))
	18.2%	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 1/2 binary64)))))
	66.3%	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 #s(approx (cos th) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th) #s(literal -1/2 binary64)) (.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))
✓	66.3%	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))))
✓	99.7%	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))))
	99.2%	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (*.f64 a2 a2)))
	99.2%	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th)))
	65.9%	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))) #s(approx (cos th) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th) #s(literal -1/2 binary64)) (.f64 th th) #s(literal 1 binary64)))))
	99.2%	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))))
	19.5%	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a1 a1)) (sqrt.f64 #s(literal 1/2 binary64))) #s(approx (cos th) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th) #s(literal -1/2 binary64)) (.f64 th th) #s(literal 1 binary64)))))
	65.8%	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))))
	14.7%	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 1/2 binary64))))
	99.1%	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 #s(approx ( (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)) (cos.f64 th)))
	99.1%	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 #s(approx ( (+ (* a1 a1) (* a2 a2)) (cos th)) (.f64 (.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 1/2 binary64))))
	66.6%	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) #s(approx (* (+ (* (* th th) -1/2) 1) (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2))) (.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 a2 a2))))
	65.8%	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) #s(approx (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)))
✓	14.7%	#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) #s(approx (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1) a1)))

Compiler

Compiled 4 150 to 1 260 computations (69.6% saved)

regimes183.0ms (2.5%)

Memory

-6.5MiB live, 348.1MiB allocated

Counts

73 → 1

Calls

Call 1

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

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

Calls

8 calls:

37.0ms	a2
21.0ms	(*.f64 a2 a2)
21.0ms	a1
21.0ms	(cos.f64 th)
21.0ms	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 35 to 40 computations (-14.3% saved)

regimes132.0ms (1.8%)

Memory

-4.7MiB live, 233.0MiB allocated

Counts

57 → 1

Calls

Call 1

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

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

Calls

8 calls:

19.0ms	a1
17.0ms	a2
16.0ms	(cos.f64 th)
16.0ms	(*.f64 a2 a2)
16.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
99.2%	1	`a1`
99.2%	1	`a2`
99.2%	1	`th`
99.2%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
99.2%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.2%	1	`(cos.f64 th)`
99.2%	1	`(*.f64 a1 a1)`
99.2%	1	`(*.f64 a2 a2)`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes134.0ms (1.9%)

Memory

-3.0MiB live, 191.5MiB allocated

Counts

54 → 1

Calls

Call 1

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

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

Calls

8 calls:

19.0ms	a2
17.0ms	(cos.f64 th)
17.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
17.0ms	(*.f64 a1 a1)
15.0ms	a1

Results

Accuracy	Segments	Branch
99.1%	1	`a1`
99.1%	1	`a2`
99.1%	1	`th`
99.1%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
99.1%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.1%	1	`(cos.f64 th)`
99.1%	1	`(*.f64 a1 a1)`
99.1%	1	`(*.f64 a2 a2)`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes137.0ms (1.9%)

Memory

28.4MiB live, 220.9MiB allocated

Counts

52 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

22.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
19.0ms	a1
19.0ms	a2
16.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
15.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
71.2%	2	`a1`
71.8%	2	`a2`
70.3%	2	`th`
80.4%	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)))`
80.0%	2	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
80.0%	2	`(cos.f64 th)`
71.2%	2	`(*.f64 a1 a1)`
71.8%	2	`(*.f64 a2 a2)`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes10.0ms (0.1%)

Memory

-10.1MiB live, 28.7MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

8.0ms

(+.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
80.4%	2	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes39.0ms (0.5%)

Memory

-13.3MiB live, 112.7MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

8 calls:

7.0ms	(cos.f64 th)
6.0ms	th
6.0ms	a2
4.0ms	(*.f64 a2 a2)
4.0ms	a1

Results

Accuracy	Segments	Branch
66.3%	1	`th`
66.3%	1	`a1`
66.3%	1	`(*.f64 a1 a1)`
66.3%	1	`a2`
66.3%	1	`(*.f64 a2 a2)`
66.3%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
66.3%	1	`(cos.f64 th)`
66.3%	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)))`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes173.0ms (2.4%)

Memory

-122.2MiB live, 90.4MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

8 calls:

145.0ms	(+.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)))
6.0ms	th
4.0ms	a1
4.0ms	a2
3.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
66.3%	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)))`
66.3%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
66.3%	1	`(cos.f64 th)`
66.3%	1	`a1`
66.3%	1	`th`
66.3%	1	`(*.f64 a1 a1)`
66.3%	1	`a2`
66.3%	1	`(*.f64 a2 a2)`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes33.0ms (0.5%)

Memory

10.7MiB live, 53.6MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

8 calls:

8.0ms	(*.f64 a1 a1)
4.0ms	a2
4.0ms	a1
4.0ms	th
3.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
65.8%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
65.8%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
65.8%	1	`(cos.f64 th)`
65.8%	1	`a1`
65.8%	1	`(*.f64 a1 a1)`
65.8%	1	`a2`
65.8%	1	`(*.f64 a2 a2)`
65.8%	1	`th`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes18.0ms (0.2%)

Memory

-4.2MiB live, 34.4MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

8 calls:

5.0ms	th
2.0ms	(*.f64 a2 a2)
2.0ms	a1
2.0ms	a2
2.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
65.8%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
65.8%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
65.8%	1	`(cos.f64 th)`
65.8%	1	`a1`
65.8%	1	`a2`
65.8%	1	`th`
65.8%	1	`(*.f64 a1 a1)`
65.8%	1	`(*.f64 a2 a2)`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes12.0ms (0.2%)

Memory

-13.3MiB live, 25.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

8 calls:

4.0ms	(cos.f64 th)
1.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
1.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
1.0ms	a1
1.0ms	th

Results

Accuracy	Segments	Branch
14.7%	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)))`
14.7%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
14.7%	1	`(cos.f64 th)`
14.7%	1	`a1`
14.7%	1	`a2`
14.7%	1	`th`
14.7%	1	`(*.f64 a1 a1)`
14.7%	1	`(*.f64 a2 a2)`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.5481767374236095e-112	-1.8866779473512388e-112

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.8866779473512388e-112	-2.0455294535719656e-175

Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify85.0ms (1.2%)

Memory

-7.1MiB live, 35.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	420
1	99	420
2	159	420
3	404	420
4	942	420
5	1992	420
6	2258	420
7	2436	420
8	2659	420
9	2930	420
10	2930	420
11	2930	420
12	3410	420
13	3410	420
14	3410	420
15	3419	420
16	3419	420
17	3431	420

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 #s(approx ( (+ (* a1 a1) (* a2 a2)) (cos th)) (.f64 (.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #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 -4332296397063773/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608 binary64)) #s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))) #s(approx (cos th) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th) #s(literal -1/2 binary64)) (.f64 th th) #s(literal 1 binary64))))) #s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(if (<=.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #s(literal -4332296397063773/43322963970637732180912721627235682866194329302747133987038743447103457934462900359999600095377180907771737671271930809827721216 binary64)) #s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) #s(approx (* (+ (* (* th th) -1/2) 1) (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2))) (.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 a2 a2)))) #s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) #s(approx (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)))
#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) #s(approx (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1) a1)))

Outputs
#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 #s(approx ( (+ (* a1 a1) (* a2 a2)) (cos th)) (.f64 (.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #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 -4332296397063773/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608 binary64)) #s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))) #s(approx (cos th) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th) #s(literal -1/2 binary64)) (.f64 th th) #s(literal 1 binary64))))) #s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(if (<=.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #s(literal -4332296397063773/43322963970637732180912721627235682866194329302747133987038743447103457934462900359999600095377180907771737671271930809827721216 binary64)) #s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) #s(approx (* (+ (* (* th th) -1/2) 1) (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2))) (.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 a2 a2)))) #s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) #s(approx (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)))
#s(approx (* (pow 2 -1/2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) #s(approx (* (+ (* a1 a1) (* a2 a2)) (sqrt 1/2)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1) a1)))

soundness1.0s (14.2%)

Memory

39.3MiB live, 780.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	1095
1	604	1023
2	2273	941
3	7146	892
4	7947	892
0	8052	818
0	12	44
0	20	38
1	58	38
2	411	38
3	7359	38
0	8465	37
0	339	1888
1	1102	1786
2	4187	1584
0	8484	1482
0	52	346
0	83	332
1	290	316
2	2243	316
0	8472	316
0	320	1853
1	1068	1732
2	4188	1708
0	8129	1586

Stop Event

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

Compiler

Compiled 1 009 to 475 computations (52.9% saved)

preprocess205.0ms (2.9%)

Memory

-7.5MiB live, 150.3MiB allocated

Remove

(sort a1 a2)

(abs a1)

(abs a2)

(abs th)

Compiler

Compiled 1 094 to 352 computations (67.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	33	244
0	50	228
1	85	228
2	145	228
3	252	222
4	439	222
5	541	222
6	541	222
0	541	222

Iter	Nodes	Cost
0	33	244
0	50	228
1	85	228
2	145	228
3	252	222
4	439	222
5	541	222
6	541	222
0	541	222

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (20.1%)

explain211.0ms (2.9%)

preprocess154.0ms (2.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize33.0ms (0.5%)

series67.0ms (0.9%)

simplify348.0ms (4.8%)

rewrite208.0ms (2.9%)

eval72.0ms (1%)

prune13.0ms (0.2%)

simplify12.0ms (0.2%)

localize121.0ms (1.7%)

series36.0ms (0.5%)

simplify225.0ms (3.1%)

rewrite187.0ms (2.6%)

eval175.0ms (2.4%)

prune46.0ms (0.6%)

simplify141.0ms (2%)

localize138.0ms (1.9%)

series46.0ms (0.6%)

simplify160.0ms (2.2%)

rewrite195.0ms (2.7%)

eval102.0ms (1.4%)

prune44.0ms (0.6%)

simplify163.0ms (2.3%)

localize145.0ms (2%)

series35.0ms (0.5%)

simplify175.0ms (2.4%)

rewrite192.0ms (2.7%)

eval65.0ms (0.9%)

prune48.0ms (0.7%)

regimes183.0ms (2.5%)

regimes132.0ms (1.8%)

regimes134.0ms (1.9%)

regimes137.0ms (1.9%)

regimes10.0ms (0.1%)

regimes39.0ms (0.5%)

regimes173.0ms (2.4%)

regimes33.0ms (0.5%)

regimes18.0ms (0.2%)

regimes12.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify85.0ms (1.2%)

soundness1.0s (14.2%)

preprocess205.0ms (2.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	33	244
0	50	228
1	85	228
2	145	228
3	252	222
4	439	222
5	541	222
6	541	222
0	541	222