Metrics for Migdal et al, Equation (64)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

sample1.3s (14.8%)

Memory

-1.6MiB live, 1 458.2MiB allocated

Samples

983.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 679.0ms

ival-mult: 264.0ms (38.9% of total)

ival-cos: 243.0ms (35.8% of total)

ival-sqrt: 64.0ms (9.4% of total)

ival-div: 52.0ms (7.7% of total)

ival-add: 39.0ms (5.7% of total)

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

exact: 6.0ms (0.9% of total)

ival-assert: 4.0ms (0.6% of total)

Bogosity

explain137.0ms (1.6%)

Memory

28.6MiB live, 226.4MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

56.0ms

512×

valid

Compiler

Compiled 191 to 52 computations (72.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 14.0ms (38% of total)

ival-cos: 12.0ms (32.6% of total)

ival-sqrt: 4.0ms (10.9% of total)

ival-div: 3.0ms (8.1% of total)

ival-add: 2.0ms (5.4% of total)

ival-true: 1.0ms (2.7% of total)

exact: 0.0ms (0% of total)

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

preprocess138.0ms (1.6%)

Memory

-20.4MiB live, 57.0MiB 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

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify4.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

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

localize43.0ms (0.5%)

Memory

-17.2MiB live, 62.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 th)
accuracy	0.21875	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
accuracy	0.23113251953688402	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
accuracy	0.6484375	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Samples

34.0ms

256×

valid

Compiler

Compiled 114 to 26 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 12.0ms (48.5% of total)

ival-cos: 6.0ms (24.2% of total)

ival-div: 3.0ms (12.1% of total)

ival-sqrt: 2.0ms (8.1% of total)

ival-add: 1.0ms (4% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.2%)

Memory

28.1MiB live, 28.1MiB 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
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	@	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)))

simplify227.0ms (2.6%)

Memory

-0.8MiB live, 241.6MiB 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)

rewrite157.0ms (1.8%)

Memory

-29.9MiB live, 213.8MiB 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))))

eval44.0ms (0.5%)

Memory: 6.8MiB live, 82.5MiB allocated
Compiler: Compiled 11 519 to 1 067 computations (90.7% saved)

prune16.0ms (0.2%)

Memory

-7.6MiB live, 37.2MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	381	14	395
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	382	14	396

Accuracy

100.0%

Counts

396 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (.f64 a2 (cos.f64 th)) a2) (.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)))
	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)))
	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))))
▶	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
▶	99.7%	(.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))
	99.5%	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
	99.6%	(.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))
▶	65.3%	#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)))
	59.2%	#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))))
	54.6%	#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))))))
	56.1%	#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 624 to 432 computations (30.8% saved)

simplify45.0ms (0.5%)

Memory

11.3MiB live, 50.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 a2 a2 (*.f64 a1 a1))
cost-diff	0	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
cost-diff	0	(*.f64 a1 a1)
cost-diff	0	(fma.f64 a2 a2 (*.f64 a1 a1))
cost-diff	0	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (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	1344	(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
cost-diff	0	(cos.f64 th)
cost-diff	0	(*.f64 a2 (cos.f64 th))
cost-diff	0	(.f64 (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
cost-diff	7680	(fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	39	291
0	63	273
1	115	261
2	209	261
3	424	259
4	766	259
5	1124	253
6	1304	253
7	1365	253
8	1422	253
9	1432	253
10	1432	253
11	1432	253
0	1432	253

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize142.0ms (1.6%)

Memory

-0.1MiB live, 194.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.22265625	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.46404476825326596	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
accuracy	0.6484375	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.7384229537611274	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.0	(cos.f64 th)
accuracy	0.109375	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
accuracy	0.20216752930532603	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.1484375	(*.f64 (cos.f64 th) a2)
accuracy	0.19921875	(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.3331757285551532	#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	0.43359375	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.1328125	(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
accuracy	0.4296875	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.43359375	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
accuracy	22.130143361603672	#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	0.15625	(.f64 (.f64 a1 (cos.f64 th)) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.1953125	(fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0.41796875	(*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.4609375	(*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))

Samples

115.0ms

256×

valid

Compiler

Compiled 571 to 77 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-div: 51.0ms (54.5% of total)

ival-mult: 29.0ms (31% of total)

ival-cos: 7.0ms (7.5% of total)

ival-add: 5.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

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

series49.0ms (0.6%)

Memory

2.8MiB live, 80.9MiB allocated

Counts

24 → 96

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	th	@	-inf	((+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (* (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) 1/2) (* a2 (cos th)) (cos th) (+ (* (/ a2 (sqrt 2)) a2) (* (/ 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) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (/ 1 (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))) (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (* a1 (sqrt 2)) (* a2 (sqrt 2)) (* (* a1 (cos th)) (* a1 (sqrt 2))) (/ a1 (sqrt 2)) (* (/ a1 (sqrt 2)) a1) (/ (cos th) (sqrt 2)))
7.0ms	a2	@	inf	((+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (* (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) 1/2) (* a2 (cos th)) (cos th) (+ (* (/ a2 (sqrt 2)) a2) (* (/ 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) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (/ 1 (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))) (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (* a1 (sqrt 2)) (* a2 (sqrt 2)) (* (* a1 (cos th)) (* a1 (sqrt 2))) (/ a1 (sqrt 2)) (* (/ a1 (sqrt 2)) a1) (/ (cos th) (sqrt 2)))
7.0ms	a2	@	0	((+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (* (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) 1/2) (* a2 (cos th)) (cos th) (+ (* (/ a2 (sqrt 2)) a2) (* (/ 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) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (/ 1 (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))) (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (* a1 (sqrt 2)) (* a2 (sqrt 2)) (* (* a1 (cos th)) (* a1 (sqrt 2))) (/ a1 (sqrt 2)) (* (/ a1 (sqrt 2)) a1) (/ (cos th) (sqrt 2)))
5.0ms	a1	@	inf	((+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (* (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) 1/2) (* a2 (cos th)) (cos th) (+ (* (/ a2 (sqrt 2)) a2) (* (/ 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) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (/ 1 (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))) (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (* a1 (sqrt 2)) (* a2 (sqrt 2)) (* (* a1 (cos th)) (* a1 (sqrt 2))) (/ a1 (sqrt 2)) (* (/ a1 (sqrt 2)) a1) (/ (cos th) (sqrt 2)))
4.0ms	a1	@	0	((+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (* (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) 1/2) (* a2 (cos th)) (cos th) (+ (* (/ a2 (sqrt 2)) a2) (* (/ 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) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (/ 1 (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))) (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (* a1 (sqrt 2)) (* a2 (sqrt 2)) (* (* a1 (cos th)) (* a1 (sqrt 2))) (/ a1 (sqrt 2)) (* (/ a1 (sqrt 2)) a1) (/ (cos th) (sqrt 2)))

simplify172.0ms (2%)

Memory

33.1MiB live, 225.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	363	2202
1	1240	2122
2	4810	1842
0	8205	1709

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 95

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

Outputs
(* (pow a2 2) (* (cos th) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/ (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 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 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 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 a1) a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 4 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 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 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 th) a2) a2)))
(+ (* (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 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 (cos.f64 th) a2) a2)))
(* a1 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)
(* (pow a1 2) (* (cos th) (sqrt 2)))
(.f64 (.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 a2 a2)) (.f64 a1 a1))) (.f64 a1 a1))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 a1 a1)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 a2 a2)) (*.f64 a1 a1))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 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)))))
(* (pow a1 2) (cos th))
(.f64 (.f64 (cos.f64 th) a1) a1)
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(.f64 (fma.f64 (/.f64 (.f64 a2 a2) a1) (/.f64 (cos.f64 th) a1) (cos.f64 th)) (*.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))
(/ (sqrt 2) (* (pow a1 2) (cos th)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 th) a1) a1))
(/ (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th)))) (/ (sqrt 2) (cos th))) (pow a1 2))
(/.f64 (.f64 (fma.f64 (neg.f64 a2) (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 a1 a1))
(/ (- (+ (/ (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))
(/.f64 (.f64 (/.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))) #s(literal 1 binary64)) (.f64 (/.f64 a2 a1) (/.f64 a2 a1)))) (*.f64 a1 a1))
(/ (- (+ (* -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))
(/.f64 (fma.f64 (/.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))) #s(literal 1 binary64)) (.f64 (/.f64 a2 a1) (/.f64 a2 a1))) (.f64 (neg.f64 (pow.f64 a2 #s(literal 6 binary64))) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 6 binary64))))) (*.f64 a1 a1))
(* a2 (cos th))
(*.f64 (cos.f64 th) a2)
(/ a2 (sqrt 2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 4) (cos th)))) (/ (sqrt 2) (* (pow a1 2) (cos th))))
(fma.f64 (.f64 (neg.f64 a2) a2) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 (cos.f64 th) a1) a1)))
(+ (* (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))))
(fma.f64 (-.f64 (.f64 (/.f64 (.f64 a2 a2) (cos.f64 th)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 4 binary64)))) (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 (cos.f64 th) a1) a1)))
(+ (* (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))))
(fma.f64 (.f64 #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 (/.f64 a2 (pow.f64 a1 #s(literal 8 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 a1 #s(literal 6 binary64))))) (.f64 a2 a2) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 4 binary64))))) (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 th) a1) a1)))
(* a2 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (.f64 a2 a2))) (.f64 a2 a2))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 a2 a2))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 (fma.f64 (/.f64 a1 (.f64 a2 a2)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))
(* (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 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(.f64 (fma.f64 (/.f64 (cos.f64 th) a2) (/.f64 (.f64 a1 a1) a2) (cos.f64 th)) (*.f64 a2 a2))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (.f64 a2 a2))
(/ (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th)))) (/ (sqrt 2) (cos th))) (pow a2 2))
(/.f64 (.f64 (fma.f64 (neg.f64 a1) (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 a2 a2))
(/ (- (+ (/ (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))
(/.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (-.f64 (+.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 a1 a2) (/.f64 a1 a2)))) (*.f64 a2 a2))
(/ (- (+ (* -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))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (-.f64 (+.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 a1 a2) (/.f64 a1 a2))) (.f64 (neg.f64 (pow.f64 a1 #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 6 binary64)) (cos.f64 th))))) (.f64 a2 a2))
(+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (+ (* -1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))
(fma.f64 (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #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 2 binary64))))
(+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (+ (* -1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (+ (* 1/24 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64))) (.f64 th th))) (.f64 th th) (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+ (* 1/2 (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 (*.f64 th th) #s(literal 1/2 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #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 2 binary64)))))
(+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))
(fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (.f64 (pow.f64 th #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 th th) #s(literal 1/2 binary64)) #s(literal -1/720 binary64) #s(literal 1/48 binary64)))))
a2
(+ a2 (* -1/2 (* a2 (pow th 2))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) a2)
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))))
(fma.f64 (.f64 a2 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) a2) (pow.f64 th #s(literal 4 binary64)) (.f64 a2 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64)))) (.f64 th th) a2)
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 (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))
(+ (* (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)) (.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 (.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 #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2))))) (.f64 th th) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))
(fma.f64 (.f64 (.f64 th th) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (pow.f64 th #s(literal 4 binary64)) (.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)))))
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(fma.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 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) (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))))
(fma.f64 (.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (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) (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))))
(fma.f64 (fma.f64 (.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64))) (.f64 th th) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 th th) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #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)))
(fma.f64 (.f64 (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) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+ (* (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 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (pow.f64 th #s(literal 4 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)))))
(/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+ (* 1/2 (/ (* (pow th 2) (sqrt 2)) (+ (pow a1 2) (pow a2 2)))) (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) th) th #s(literal 1 binary64)) (/.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 (neg.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) (fma.f64 #s(literal -5/24 binary64) (.f64 th th) #s(literal -1/2 binary64)))) (.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 #s(literal 5/24 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) (.f64 (.f64 (neg.f64 th) th) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) #s(literal -61/720 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 a1 2) (sqrt 2))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)
(+ (* -1/2 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* (pow a1 2) (sqrt 2)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
(+ (* (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)))))))
(fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64))) (.f64 th th) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
(+ (* (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))))))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (.f64 (pow.f64 th #s(literal 4 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)))))
(/ 1 (sqrt 2))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))
(fma.f64 (*.f64 th (/.f64 th (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 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 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) (/.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 (/.f64 th (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (/.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))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(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))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (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))
(/ (cos th) (sqrt 2))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

rewrite236.0ms (2.7%)

Memory

-33.3MiB live, 370.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	240
0	63	222
1	203	208
2	1420	208
0	8391	208

Stop Event

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

Counts

24 → 1 966

Calls

Call 1

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

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

eval220.0ms (2.5%)

Memory: 23.1MiB live, 290.6MiB allocated
Compiler: Compiled 41 652 to 3 991 computations (90.4% saved)

prune195.0ms (2.2%)

Memory

-143.8MiB live, 110.8MiB allocated

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	1 290	24	1 314
Fresh	9	0	9
Picked	5	0	5
Done	0	0	0
Total	1 304	24	1 328

Accuracy

100.0%

Counts

1 328 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.2%	(/.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)))
	99.1%	(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (.f64 (.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
	65.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
	56.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (cos th) (sqrt 2)) (fma.f64 (*.f64 th (/.f64 th (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
▶	65.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))))
	58.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) th) th #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))))
▶	99.6%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))) #s(literal 1/2 binary64))
	65.3%	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
	99.1%	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))) #s(literal 1/2 binary64))
	65.3%	#s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	65.3%	#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)))
	65.1%	#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)))))
	50.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) a1)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
	53.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 a1 a1))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
	99.0%	#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))) (cos.f64 th)) a2))
	99.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
	58.4%	#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)))))
	54.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
▶	31.8%	#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 (fma.f64 (/.f64 a2 (.f64 a1 a1)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
	65.2%	#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 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))))
▶	64.8%	#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))))))
	55.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))
	99.6%	#s(approx (* (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) 1/2) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 1 590 to 1 014 computations (36.2% saved)

simplify199.0ms (2.3%)

Memory

26.3MiB live, 180.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
cost-diff	0	(.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2)
cost-diff	0	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2))
cost-diff	0	#s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (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))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
cost-diff	640	(fma.f64 (/.f64 a2 (*.f64 a1 a1)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	2048	(.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (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)) (fma.f64 a1 a1 (*.f64 a2 a2)))
cost-diff	0	#s(approx (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))))
cost-diff	0	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 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))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
cost-diff	0	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)))
cost-diff	0	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))) #s(literal 1/2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	397
0	67	374
1	117	374
2	212	374
3	428	370
4	935	361
5	2160	341
6	2526	327
7	3116	327
8	4064	327
9	4364	327
10	4726	327
11	6163	327
12	6645	327
13	7112	327
14	7707	327
15	7996	327
0	8006	326

Stop Event

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

Calls

Call 1

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

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

localize120.0ms (1.4%)

Memory

1.1MiB live, 164.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2)
accuracy	0.19140625	(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
accuracy	0.3331757285551532	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2))
accuracy	0.43359375	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
accuracy	4.052286365262009	(fma.f64 (/.f64 a2 (*.f64 a1 a1)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
accuracy	7.451528586030013	(/.f64 a2 (*.f64 a1 a1))
accuracy	22.130143361603672	#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 a1 a1)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
accuracy	26.81990677892464	(.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))
accuracy	0.00390625	(fma.f64 a1 a1 (*.f64 a2 a2))
accuracy	0.46404476825326596	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))))
accuracy	0.8557623930026939	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))
accuracy	17.932279759911943	#s(approx (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
accuracy	0.1015625	(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.33576344463537167	#s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0.43359375	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
accuracy	22.130143361603672	#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))))))
accuracy	0.0	(cos.f64 th)
accuracy	0.00390625	(fma.f64 a1 a1 (*.f64 a2 a2))
accuracy	0.109375	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))
accuracy	0.22103500976844204	(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)))

Samples

96.0ms

256×

valid

Compiler

Compiled 694 to 86 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-div: 37.0ms (48.9% of total)

ival-mult: 24.0ms (31.7% of total)

ival-add: 6.0ms (7.9% of total)

ival-cos: 6.0ms (7.9% of total)

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

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

exact: 0.0ms (0% of total)

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

series45.0ms (0.5%)

Memory

9.0MiB live, 84.0MiB allocated

Counts

21 → 104

Calls

Call 1

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

Outputs
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(* (pow a2 2) (cos th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (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))))
(/ (sqrt 2) (pow a2 2))
(+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 4))) (/ (sqrt 2) (pow a2 2)))
(+ (* (pow a1 2) (- (/ (* (pow a1 2) (sqrt 2)) (pow a2 6)) (/ (sqrt 2) (pow a2 4)))) (/ (sqrt 2) (pow a2 2)))
(+ (* (pow a1 2) (- (* (pow a1 2) (- (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 8))) (* -1 (/ (sqrt 2) (pow a2 6))))) (/ (sqrt 2) (pow a2 4)))) (/ (sqrt 2) (pow a2 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (pow a1 2))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(/ a2 (pow a1 2))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (cos th))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (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))
(/ (sqrt 2) (pow a1 2))
(/ (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))
(/ (- (+ (sqrt 2) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (pow a1 2))
(/ (- (+ (sqrt 2) (* -1 (/ (* (pow a2 6) (sqrt 2)) (pow a1 6)))) (+ (* -1 (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))
(/ 1 (sqrt 2))
(+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(/ a2 (sqrt 2))
(+ (* -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))))
(+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 4))) (/ (sqrt 2) (pow a1 2)))
(+ (* (pow a2 2) (- (/ (* (pow a2 2) (sqrt 2)) (pow a1 6)) (/ (sqrt 2) (pow a1 4)))) (/ (sqrt 2) (pow a1 2)))
(+ (* (pow a2 2) (- (* (pow a2 2) (- (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 8))) (* -1 (/ (sqrt 2) (pow a1 6))))) (/ (sqrt 2) (pow a1 4)))) (/ (sqrt 2) (pow a1 2)))
(/ (* a2 (cos th)) (sqrt 2))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (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)))))
(/ (+ (* -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 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2))
(/ (- (+ (sqrt 2) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (pow a2 2))
(/ (- (+ (sqrt 2) (* -1 (/ (* (pow a1 6) (sqrt 2)) (pow a2 6)))) (+ (* -1 (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2))
(* (pow a2 2) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(+ (* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/48 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))
(+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/1440 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/48 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))
(* (sqrt 2) (+ (pow a1 2) (pow a2 2)))
(+ (* -1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))
(+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/24 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))
(+ (* -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))))
(/ (+ (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))))
(+ (* -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)))
(+ (* -1/2 (/ (* a2 (pow th 2)) (sqrt 2))) (/ a2 (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ a2 (sqrt 2))) (* 1/24 (/ (* a2 (pow th 2)) (sqrt 2))))) (/ a2 (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ a2 (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* a2 (pow th 2)) (sqrt 2))) (* 1/24 (/ a2 (sqrt 2))))))) (/ a2 (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)))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2))))
(cos th)

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	th	@	0	((* (* (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (cos th))) 1/2) (* (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (cos th))) (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (cos th)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (* a2 (/ a2 (sqrt 2))) (/ a2 (sqrt 2)) (/ 1 (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))) (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (* (+ (* (/ a2 (* a1 a1)) (/ a2 (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) (+ (* (/ a2 (* a1 a1)) (/ a2 (sqrt 2))) (/ 1 (sqrt 2))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ a2 (sqrt 2)) (cos th)) a2) (* (/ a2 (sqrt 2)) (cos th)) (+ (* a1 a1) (* a2 a2)) (cos th) (/ a2 (* a1 a1)))
7.0ms	a1	@	inf	((* (* (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (cos th))) 1/2) (* (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (cos th))) (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (cos th)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (* a2 (/ a2 (sqrt 2))) (/ a2 (sqrt 2)) (/ 1 (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))) (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (* (+ (* (/ a2 (* a1 a1)) (/ a2 (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) (+ (* (/ a2 (* a1 a1)) (/ a2 (sqrt 2))) (/ 1 (sqrt 2))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ a2 (sqrt 2)) (cos th)) a2) (* (/ a2 (sqrt 2)) (cos th)) (+ (* a1 a1) (* a2 a2)) (cos th) (/ a2 (* a1 a1)))
6.0ms	a2	@	-inf	((* (* (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (cos th))) 1/2) (* (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (cos th))) (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (cos th)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (* a2 (/ a2 (sqrt 2))) (/ a2 (sqrt 2)) (/ 1 (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))) (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (* (+ (* (/ a2 (* a1 a1)) (/ a2 (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) (+ (* (/ a2 (* a1 a1)) (/ a2 (sqrt 2))) (/ 1 (sqrt 2))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ a2 (sqrt 2)) (cos th)) a2) (* (/ a2 (sqrt 2)) (cos th)) (+ (* a1 a1) (* a2 a2)) (cos th) (/ a2 (* a1 a1)))
5.0ms	a2	@	0	((* (* (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (cos th))) 1/2) (* (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (cos th))) (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (cos th)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (* a2 (/ a2 (sqrt 2))) (/ a2 (sqrt 2)) (/ 1 (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))) (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (* (+ (* (/ a2 (* a1 a1)) (/ a2 (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) (+ (* (/ a2 (* a1 a1)) (/ a2 (sqrt 2))) (/ 1 (sqrt 2))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ a2 (sqrt 2)) (cos th)) a2) (* (/ a2 (sqrt 2)) (cos th)) (+ (* a1 a1) (* a2 a2)) (cos th) (/ a2 (* a1 a1)))
5.0ms	a2	@	inf	((* (* (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (cos th))) 1/2) (* (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (cos th))) (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (cos th)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (* a2 (/ a2 (sqrt 2))) (/ a2 (sqrt 2)) (/ 1 (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))) (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (* (+ (* (/ a2 (* a1 a1)) (/ a2 (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) (+ (* (/ a2 (* a1 a1)) (/ a2 (sqrt 2))) (/ 1 (sqrt 2))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ a2 (sqrt 2)) (cos th)) a2) (* (/ a2 (sqrt 2)) (cos th)) (+ (* a1 a1) (* a2 a2)) (cos th) (/ a2 (* a1 a1)))

simplify198.0ms (2.3%)

Memory

-19.7MiB live, 216.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	396	2475
1	1284	2313
2	4776	2284
0	8051	2141

Stop Event

1×	iter limit
1×	node limit

Counts

104 → 104

Calls

Call 1

Inputs
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(* (pow a2 2) (cos th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(/ (* (pow 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)))
(/ (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))))
(/ (sqrt 2) (pow a2 2))
(+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 4))) (/ (sqrt 2) (pow a2 2)))
(+ (* (pow a1 2) (- (/ (* (pow a1 2) (sqrt 2)) (pow a2 6)) (/ (sqrt 2) (pow a2 4)))) (/ (sqrt 2) (pow a2 2)))
(+ (* (pow a1 2) (- (* (pow a1 2) (- (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 8))) (* -1 (/ (sqrt 2) (pow a2 6))))) (/ (sqrt 2) (pow a2 4)))) (/ (sqrt 2) (pow a2 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (pow a1 2))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(/ a2 (pow a1 2))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (cos th))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (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))
(/ (sqrt 2) (pow a1 2))
(/ (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))
(/ (- (+ (sqrt 2) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (pow a1 2))
(/ (- (+ (sqrt 2) (* -1 (/ (* (pow a2 6) (sqrt 2)) (pow a1 6)))) (+ (* -1 (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))
(/ 1 (sqrt 2))
(+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(/ a2 (sqrt 2))
(+ (* -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))))
(+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 4))) (/ (sqrt 2) (pow a1 2)))
(+ (* (pow a2 2) (- (/ (* (pow a2 2) (sqrt 2)) (pow a1 6)) (/ (sqrt 2) (pow a1 4)))) (/ (sqrt 2) (pow a1 2)))
(+ (* (pow a2 2) (- (* (pow a2 2) (- (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 8))) (* -1 (/ (sqrt 2) (pow a1 6))))) (/ (sqrt 2) (pow a1 4)))) (/ (sqrt 2) (pow a1 2)))
(/ (* a2 (cos th)) (sqrt 2))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (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)))))
(/ (+ (* -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 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2))
(/ (- (+ (sqrt 2) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (pow a2 2))
(/ (- (+ (sqrt 2) (* -1 (/ (* (pow a1 6) (sqrt 2)) (pow a2 6)))) (+ (* -1 (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2))
(* (pow a2 2) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(+ (* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/48 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))
(+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/1440 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/48 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))
(* (sqrt 2) (+ (pow a1 2) (pow a2 2)))
(+ (* -1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))
(+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/24 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))
(+ (* -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))))
(/ (+ (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))))
(+ (* -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)))
(+ (* -1/2 (/ (* a2 (pow th 2)) (sqrt 2))) (/ a2 (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ a2 (sqrt 2))) (* 1/24 (/ (* a2 (pow th 2)) (sqrt 2))))) (/ a2 (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ a2 (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* a2 (pow th 2)) (sqrt 2))) (* 1/24 (/ a2 (sqrt 2))))))) (/ a2 (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)))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2))))
(cos th)

Outputs
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (.f64 (.f64 a2 a2) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 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 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
(/ (pow 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 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(/ (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 (neg.f64 (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 4 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 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 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 th) a2) a2)))
(+ (* (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 (fma.f64 (fma.f64 (neg.f64 (.f64 a1 a1)) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 8 binary64))) (cos.f64 th)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal 6 binary64)) (cos.f64 th)))) (.f64 a1 a1) (/.f64 (neg.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)))
(/ (sqrt 2) (pow a2 2))
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)
(+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 4))) (/ (sqrt 2) (pow a2 2)))
(/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 (.f64 a1 a1) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) (*.f64 a2 a2))
(+ (* (pow a1 2) (- (/ (* (pow a1 2) (sqrt 2)) (pow a2 6)) (/ (sqrt 2) (pow a2 4)))) (/ (sqrt 2) (pow a2 2)))
(fma.f64 (-.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (pow.f64 a2 #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 a1 a1) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))
(+ (* (pow a1 2) (- (* (pow a1 2) (- (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 8))) (* -1 (/ (sqrt 2) (pow a2 6))))) (/ (sqrt 2) (pow a2 4)))) (/ (sqrt 2) (pow a2 2)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 8 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (.f64 a1 a1) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 a1 a1) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(.f64 (/.f64 a2 (.f64 a1 a1)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (pow a1 2))
(/.f64 (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (.f64 a1 a1))
(pow a2 2)
(*.f64 a2 a2)
(+ (pow a1 2) (pow a2 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(.f64 (.f64 (.f64 a1 a1) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(.f64 (.f64 (.f64 a1 a1) #s(literal 1/2 binary64)) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 a2 (/.f64 a2 (.f64 a1 a1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(.f64 (.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 a2 (/.f64 a2 (.f64 a1 a1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (.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))))
(.f64 (fma.f64 (/.f64 (.f64 a2 a2) a1) (/.f64 (cos.f64 th) a1) (cos.f64 th)) (*.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 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1))
(/ (pow a1 2) (sqrt 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))
(/ (sqrt 2) (* (pow a1 2) (cos th)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 th) a1) a1))
(/ (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th)))) (/ (sqrt 2) (cos th))) (pow a1 2))
(/.f64 (fma.f64 (neg.f64 (.f64 a2 (/.f64 a2 (.f64 a1 a1)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 a1 a1))
(/ (- (+ (/ (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))
(/.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (-.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (.f64 a2 (/.f64 a2 (.f64 a1 a1)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) a1) a1)
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(/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+ (* 1/2 (/ (* (pow th 2) (sqrt 2)) (+ (pow a1 2) (pow a2 2)))) (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))))
(+ (* (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 a2 a2 (.f64 a1 a1))) #s(literal 5/24 binary64)) (.f64 th th) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 th th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+ (* (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 a2 a2 (.f64 a1 a1))) #s(literal 5/24 binary64) (.f64 (.f64 (neg.f64 th) th) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) #s(literal 7/360 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) #s(literal -5/48 binary64))))) (.f64 th th) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 th th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) th) th (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))
(fma.f64 (fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) th) th (.f64 #s(literal -1/2 binary64) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))) (.f64 th th) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/720 binary64) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) th) th (.f64 #s(literal 1/24 binary64) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))) (.f64 th th) (.f64 #s(literal -1/2 binary64) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))) (.f64 th th) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(+ (* -1/2 (/ (* a2 (pow th 2)) (sqrt 2))) (/ a2 (sqrt 2)))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(+ (* (pow th 2) (+ (* -1/2 (/ a2 (sqrt 2))) (* 1/24 (/ (* a2 (pow th 2)) (sqrt 2))))) (/ a2 (sqrt 2)))
(fma.f64 (fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) th) th (.f64 #s(literal -1/2 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (.f64 th th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(+ (* (pow th 2) (+ (* -1/2 (/ a2 (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* a2 (pow th 2)) (sqrt 2))) (* 1/24 (/ a2 (sqrt 2))))))) (/ a2 (sqrt 2)))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (.f64 th th) (.f64 #s(literal -1/2 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (.f64 th th) (/.f64 a2 (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 (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))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (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 a2 a2 (*.f64 a1 a1))) (cos.f64 th))
(cos th)
(cos.f64 th)

rewrite199.0ms (2.3%)

Memory

21.9MiB live, 212.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	342
0	67	319
1	229	311
2	1884	303
0	8277	303

Stop Event

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

Counts

21 → 605

Calls

Call 1

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

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

eval115.0ms (1.3%)

Memory: 9.2MiB live, 167.9MiB allocated
Compiler: Compiled 41 825 to 4 144 computations (90.1% saved)

prune54.0ms (0.6%)

Memory

-10.5MiB live, 117.2MiB allocated

Pruning

36 alts after pruning (34 fresh and 2 done)

	Pruned	Kept	Total
New	857	25	882
Fresh	10	9	19
Picked	3	2	5
Done	0	0	0
Total	870	36	906

Accuracy

100.0%

Counts

906 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (.f64 (.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
▶	41.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 (.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) a1) a1)))))
▶	14.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a1 a1)))))
	58.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) th) th #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))))
	64.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) #s(approx (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))))
	14.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) #s(approx (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))))
	10.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) #s(approx (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (/.f64 (.f64 a2 a2) a1))) (*.f64 a1 a1)))))
▶	99.6%	(.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) #s(literal 1/2 binary64)))
	99.1%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (cos.f64 th))) #s(literal 1/2 binary64))
	99.1%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (+ (* a1 a1) (* a2 a2)) (cos th)) (.f64 (.f64 (cos.f64 th) a2) a2))) #s(literal 1/2 binary64))
	99.1%	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))) #s(literal 1/2 binary64))
	65.3%	#s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	65.1%	#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)))))
	50.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) a1)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
▶	53.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 a1 a1))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
	99.0%	#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))) (cos.f64 th)) a2))
	58.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #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))
	54.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) a2))
	54.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	40.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (.f64 a1 a1) (*.f64 (/.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a1) (/.f64 a2 a1))))))
	64.8%	#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 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
	64.8%	#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 (sqrt.f64 #s(literal 2 binary64)) a2))))
	37.0%	#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 (/.f64 a2 a1) a1) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1))))
	28.2%	#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 (/.f64 (fma.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a1 a1) #s(literal 1 binary64))) (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
	28.3%	#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 (/.f64 (fma.f64 (.f64 a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 a1 a1) a2)) #s(literal 1 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 a1 a1) a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
	28.3%	#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 (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))) (*.f64 a1 a1))))
	28.3%	#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 #s(approx (+ ( (/ a2 (* a1 a1)) (/ a2 (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (.f64 a1 a1))) (*.f64 a1 a1))))
	14.6%	#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 #s(approx (+ ( (/ a2 (* a1 a1)) (/ a2 (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
	27.9%	#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 #s(approx (+ ( (/ a2 (* a1 a1)) (/ a2 (sqrt 2))) (/ 1 (sqrt 2))) (.f64 (/.f64 a2 (.f64 a1 a1)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1))))
✓	64.8%	#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))))))
	64.8%	#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 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))))
	64.8%	#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 (neg.f64 a2) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
▶	14.6%	#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 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
	30.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (/ a2 (sqrt 2)) (cos th)) a2) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) th) th (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))
	65.3%	#s(approx (* (* (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (cos th))) 1/2) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 2 853 to 1 670 computations (41.5% saved)

simplify183.0ms (2.1%)

Memory

2.9MiB live, 159.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 a1 a1))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	704	(/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 a1 a1))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	768	(+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (*.f64 a1 a1)))
cost-diff	1984	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 (.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) a1) a1))))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 (.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) a1) a1)))))
cost-diff	640	(.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) a1)
cost-diff	704	(.f64 (.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) a1) a1)
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a1 a1)))
cost-diff	0	#s(approx (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a1 a1))))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a1 a1)))))
cost-diff	0	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	0	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
cost-diff	0	(*.f64 a1 a1)
cost-diff	0	(fma.f64 a2 a2 (*.f64 a1 a1))
cost-diff	0	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	492
0	80	464
1	135	452
2	240	452
3	461	441
4	955	414
5	1643	410
6	3066	402
7	3424	402
8	4039	402
9	4097	402
10	4135	402
11	4169	402
12	4410	402
13	4453	402
14	4850	402
15	6621	402
0	8826	398

Stop Event

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

Calls

Call 1

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

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

localize164.0ms (1.9%)

Memory

-17.2MiB live, 150.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.6054374423029377	(/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 a1 a1))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.8635748930026939	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))
accuracy	14.250162927776985	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (*.f64 a1 a1))
accuracy	22.130143361603672	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 a1 a1))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
accuracy	7.451528586030013	(/.f64 a2 (*.f64 a1 a1))
accuracy	7.771539919628407	(.f64 (.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) a1) a1)
accuracy	8.533053028562527	(.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) a1)
accuracy	17.932279759911943	#s(approx (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 (.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) a1) a1))))
accuracy	0.46404476825326596	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a1 a1)))))
accuracy	0.8557623930026939	(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a1 a1)))
accuracy	17.932279759911943	#s(approx (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a1 a1))))
accuracy	54.22119919028787	#s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a1 a1))
accuracy	0.1328125	(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.4296875	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
accuracy	22.130143361603672	#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 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
accuracy	54.21513788586642	#s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.0	(cos.f64 th)
accuracy	0.109375	(.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) #s(literal 1/2 binary64)))
accuracy	0.25390625	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))

Samples

97.0ms

256×

valid

Compiler

Compiled 836 to 96 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-cos: 28.0ms (37.2% of total)

ival-mult: 24.0ms (31.9% of total)

ival-div: 13.0ms (17.3% of total)

ival-add: 7.0ms (9.3% of total)

ival-sqrt: 2.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (0.4%)

Memory

10.2MiB live, 47.9MiB allocated

Counts

25 → 91

Calls

Call 1

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

Outputs
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* (pow a2 2) (sqrt 2))
(+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(pow a1 2)
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (pow a1 2) (sqrt 2))
(/ a1 (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))))
(/ (sqrt 2) (pow a2 2))
(+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 4))) (/ (sqrt 2) (pow a2 2)))
(+ (* (pow a1 2) (- (/ (* (pow a1 2) (sqrt 2)) (pow a2 6)) (/ (sqrt 2) (pow a2 4)))) (/ (sqrt 2) (pow a2 2)))
(+ (* (pow a1 2) (- (* (pow a1 2) (- (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 8))) (* -1 (/ (sqrt 2) (pow a2 6))))) (/ (sqrt 2) (pow a2 4)))) (/ (sqrt 2) (pow a2 2)))
(/ (pow a2 2) a1)
(/ (+ (pow a1 2) (pow a2 2)) a1)
(sqrt 2)
(+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))
(/ a2 (pow a1 2))
(/ (* (pow a1 2) (sqrt 2)) (pow a2 2))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (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))
(/ (sqrt 2) (pow a1 2))
(/ (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))
(/ (- (+ (sqrt 2) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (pow a1 2))
(/ (- (+ (sqrt 2) (* -1 (/ (* (pow a2 6) (sqrt 2)) (pow a1 6)))) (+ (* -1 (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))
a1
(* a1 (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ (/ (sqrt 2) (pow a1 2)) (/ (sqrt 2) (pow a2 2))))
(* -1 (* a1 (- (* -1 (/ (pow a2 2) (pow a1 2))) 1)))
(+ (* -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))))
(+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 4))) (/ (sqrt 2) (pow a1 2)))
(+ (* (pow a2 2) (- (/ (* (pow a2 2) (sqrt 2)) (pow a1 6)) (/ (sqrt 2) (pow a1 4)))) (/ (sqrt 2) (pow a1 2)))
(+ (* (pow a2 2) (- (* (pow a2 2) (- (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 8))) (* -1 (/ (sqrt 2) (pow a1 6))))) (/ (sqrt 2) (pow a1 4)))) (/ (sqrt 2) (pow a1 2)))
(+ a1 (/ (pow a2 2) a1))
(/ (pow (sqrt 2) 2) (pow a2 2))
(/ (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))) (pow a2 2))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 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)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (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 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2))
(/ (- (+ (sqrt 2) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (pow a2 2))
(/ (- (+ (sqrt 2) (* -1 (/ (* (pow a1 6) (sqrt 2)) (pow a2 6)))) (+ (* -1 (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2))
(* (pow a2 2) (+ (/ 1 a1) (/ a1 (pow a2 2))))
(* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(+ (* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/48 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))
(+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/1440 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/48 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(/ (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))))
1
(+ 1 (* -1/2 (pow th 2)))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2))))
(cos th)

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	a2	@	inf	((* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (cos th) 1/2)) (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (* a1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)) (/ 1 (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))) (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (sqrt 2) (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) a1) a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) a1) (/ 1 (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))) (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (* (/ (sqrt 2) (* a2 a2)) (sqrt 2)) (+ (sqrt 2) (* (/ (sqrt 2) (* a2 a2)) (* a1 a1))) (/ (+ (sqrt 2) (* (/ (sqrt 2) (* a2 a2)) (* a1 a1))) (* (/ (sqrt 2) (* a2 a2)) (sqrt 2))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (cos th) (+ (* a1 a1) (* a2 a2)) (/ a2 (* a1 a1)) (* (/ (sqrt 2) (* a2 a2)) (* a1 a1)) (/ (sqrt 2) (* a2 a2)))
4.0ms	a1	@	0	((* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (cos th) 1/2)) (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (* a1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)) (/ 1 (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))) (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (sqrt 2) (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) a1) a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) a1) (/ 1 (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))) (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (* (/ (sqrt 2) (* a2 a2)) (sqrt 2)) (+ (sqrt 2) (* (/ (sqrt 2) (* a2 a2)) (* a1 a1))) (/ (+ (sqrt 2) (* (/ (sqrt 2) (* a2 a2)) (* a1 a1))) (* (/ (sqrt 2) (* a2 a2)) (sqrt 2))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (cos th) (+ (* a1 a1) (* a2 a2)) (/ a2 (* a1 a1)) (* (/ (sqrt 2) (* a2 a2)) (* a1 a1)) (/ (sqrt 2) (* a2 a2)))
4.0ms	a1	@	inf	((* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (cos th) 1/2)) (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (* a1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)) (/ 1 (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))) (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (sqrt 2) (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) a1) a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) a1) (/ 1 (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))) (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (* (/ (sqrt 2) (* a2 a2)) (sqrt 2)) (+ (sqrt 2) (* (/ (sqrt 2) (* a2 a2)) (* a1 a1))) (/ (+ (sqrt 2) (* (/ (sqrt 2) (* a2 a2)) (* a1 a1))) (* (/ (sqrt 2) (* a2 a2)) (sqrt 2))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (cos th) (+ (* a1 a1) (* a2 a2)) (/ a2 (* a1 a1)) (* (/ (sqrt 2) (* a2 a2)) (* a1 a1)) (/ (sqrt 2) (* a2 a2)))
4.0ms	a2	@	0	((* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (cos th) 1/2)) (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (* a1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)) (/ 1 (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))) (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (sqrt 2) (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) a1) a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) a1) (/ 1 (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))) (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (* (/ (sqrt 2) (* a2 a2)) (sqrt 2)) (+ (sqrt 2) (* (/ (sqrt 2) (* a2 a2)) (* a1 a1))) (/ (+ (sqrt 2) (* (/ (sqrt 2) (* a2 a2)) (* a1 a1))) (* (/ (sqrt 2) (* a2 a2)) (sqrt 2))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (cos th) (+ (* a1 a1) (* a2 a2)) (/ a2 (* a1 a1)) (* (/ (sqrt 2) (* a2 a2)) (* a1 a1)) (/ (sqrt 2) (* a2 a2)))
4.0ms	a1	@	-inf	((* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (cos th) 1/2)) (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (* a1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)) (/ 1 (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))) (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (sqrt 2) (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) a1) a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) a1) (/ 1 (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))))) (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (* (/ (sqrt 2) (* a2 a2)) (sqrt 2)) (+ (sqrt 2) (* (/ (sqrt 2) (* a2 a2)) (* a1 a1))) (/ (+ (sqrt 2) (* (/ (sqrt 2) (* a2 a2)) (* a1 a1))) (* (/ (sqrt 2) (* a2 a2)) (sqrt 2))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (cos th) (+ (* a1 a1) (* a2 a2)) (/ a2 (* a1 a1)) (* (/ (sqrt 2) (* a2 a2)) (* a1 a1)) (/ (sqrt 2) (* a2 a2)))

simplify182.0ms (2.1%)

Memory

22.9MiB live, 171.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	341	2021
1	1087	1904
2	3932	1731
0	8165	1635

Stop Event

1×	iter limit
1×	node limit

Counts

91 → 90

Calls

Call 1

Inputs
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* (pow a2 2) (sqrt 2))
(+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(pow a1 2)
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (pow a1 2) (sqrt 2))
(/ a1 (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))))
(/ (sqrt 2) (pow a2 2))
(+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 4))) (/ (sqrt 2) (pow a2 2)))
(+ (* (pow a1 2) (- (/ (* (pow a1 2) (sqrt 2)) (pow a2 6)) (/ (sqrt 2) (pow a2 4)))) (/ (sqrt 2) (pow a2 2)))
(+ (* (pow a1 2) (- (* (pow a1 2) (- (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 8))) (* -1 (/ (sqrt 2) (pow a2 6))))) (/ (sqrt 2) (pow a2 4)))) (/ (sqrt 2) (pow a2 2)))
(/ (pow a2 2) a1)
(/ (+ (pow a1 2) (pow a2 2)) a1)
(sqrt 2)
(+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))
(/ a2 (pow a1 2))
(/ (* (pow a1 2) (sqrt 2)) (pow a2 2))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (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))
(/ (sqrt 2) (pow a1 2))
(/ (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))
(/ (- (+ (sqrt 2) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (pow a1 2))
(/ (- (+ (sqrt 2) (* -1 (/ (* (pow a2 6) (sqrt 2)) (pow a1 6)))) (+ (* -1 (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))
a1
(* a1 (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ (/ (sqrt 2) (pow a1 2)) (/ (sqrt 2) (pow a2 2))))
(* -1 (* a1 (- (* -1 (/ (pow a2 2) (pow a1 2))) 1)))
(+ (* -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))))
(+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 4))) (/ (sqrt 2) (pow a1 2)))
(+ (* (pow a2 2) (- (/ (* (pow a2 2) (sqrt 2)) (pow a1 6)) (/ (sqrt 2) (pow a1 4)))) (/ (sqrt 2) (pow a1 2)))
(+ (* (pow a2 2) (- (* (pow a2 2) (- (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 8))) (* -1 (/ (sqrt 2) (pow a1 6))))) (/ (sqrt 2) (pow a1 4)))) (/ (sqrt 2) (pow a1 2)))
(+ a1 (/ (pow a2 2) a1))
(/ (pow (sqrt 2) 2) (pow a2 2))
(/ (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))) (pow a2 2))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 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)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (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 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2))
(/ (- (+ (sqrt 2) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (pow a2 2))
(/ (- (+ (sqrt 2) (* -1 (/ (* (pow a1 6) (sqrt 2)) (pow a2 6)))) (+ (* -1 (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2))
(* (pow a2 2) (+ (/ 1 a1) (/ a1 (pow a2 2))))
(* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(+ (* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/48 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))
(+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/1440 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/48 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(/ (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))))
1
(+ 1 (* -1/2 (pow th 2)))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2))))
(cos th)

Outputs
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(.f64 (.f64 (.f64 a2 a2) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (sqrt 2))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)
(+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(pow a2 2)
(*.f64 a2 a2)
(+ (pow a1 2) (pow a2 2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(pow a1 2)
(*.f64 a1 a1)
(/ (* (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 a2 2) (sqrt 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(/ (pow a1 2) (sqrt 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ (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 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (.f64 a1 (/.f64 a1 (pow.f64 a2 #s(literal 4 binary64)))) (/.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 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 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 th) a2) a2)))
(+ (* (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 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 (cos.f64 th) a2) a2)))
(/ (sqrt 2) (pow a2 2))
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)
(+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 4))) (/ (sqrt 2) (pow a2 2)))
(/.f64 (fma.f64 (.f64 (neg.f64 a1) a1) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
(+ (* (pow a1 2) (- (/ (* (pow a1 2) (sqrt 2)) (pow a2 6)) (/ (sqrt 2) (pow a2 4)))) (/ (sqrt 2) (pow a2 2)))
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(fma.f64 (fma.f64 (.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64))) (.f64 th th) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
(/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+ (* 1/2 (/ (* (pow th 2) (sqrt 2)) (+ (pow a1 2) (pow a2 2)))) (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (/.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 (neg.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) (fma.f64 #s(literal -5/24 binary64) (.f64 th th) #s(literal -1/2 binary64)))) (.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 #s(literal 5/24 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) (.f64 (.f64 (neg.f64 th) th) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) #s(literal -61/720 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))))
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 (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))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (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))
(cos th)
(cos.f64 th)

rewrite248.0ms (2.8%)

Memory

-2.9MiB live, 238.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	400
0	80	380
1	274	356
2	1937	352
0	8717	349

Stop Event

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

Counts

25 → 526

Calls

Call 1

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

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

eval131.0ms (1.5%)

Memory: -17.7MiB live, 171.8MiB allocated
Compiler: Compiled 29 818 to 2 991 computations (90% saved)

prune52.0ms (0.6%)

Memory

8.0MiB live, 134.0MiB allocated

Pruning

45 alts after pruning (39 fresh and 6 done)

	Pruned	Kept	Total
New	702	13	715
Fresh	3	26	29
Picked	1	4	5
Done	0	2	2
Total	706	45	751

Accuracy

100.0%

Counts

751 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (.f64 (.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	41.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 (.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) a1) a1)))))
	59.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 #s(approx ( (+ (* a2 (/ a2 (* a1 a1))) 1) a1) (fma.f64 a2 (/.f64 a2 a1) a1)) a1)))))
	59.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* a1 a1) (* a2 a2)) (.f64 #s(approx ( (+ (* a2 (/ a2 (* a1 a1))) 1) a1) (/.f64 (*.f64 a2 a2) a1)) a1)))))
✓	14.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a1 a1)))))
	58.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) th) th #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))))
	64.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) #s(approx (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))))
	10.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2)))) #s(approx (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (/.f64 (.f64 a2 a2) a1))) (*.f64 a1 a1)))))
✓	99.6%	(.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) #s(literal 1/2 binary64)))
	99.1%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (cos.f64 th))) #s(literal 1/2 binary64))
	99.1%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (+ (* a1 a1) (* a2 a2)) (cos th)) (.f64 (.f64 (cos.f64 th) a2) a2))) #s(literal 1/2 binary64))
	99.1%	(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))) #s(literal 1/2 binary64))
	99.1%	(.f64 #s(approx ( (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (*.f64 (cos.f64 th) #s(literal 1/2 binary64)))
	65.3%	#s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	65.1%	#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)))))
	53.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 a1 a1))) (/.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (sqrt.f64 #s(literal 2 binary64))) a2)))
	53.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 a1 a1))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 a2) a2))))
	53.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 a1 a1))) (.f64 (*.f64 (/.f64 #s(literal -1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 a2))) (sqrt.f64 #s(literal 2 binary64)))))
	65.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) (/.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) (sqrt.f64 #s(literal 2 binary64))))
	64.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (sqrt 2) (* (/ (sqrt 2) (* a2 a2)) (* a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
	65.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) (/.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	99.0%	#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))) (cos.f64 th)) a2))
	58.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #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))
	54.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) a2))
	54.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	40.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (.f64 a1 a1) (*.f64 (/.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a1) (/.f64 a2 a1))))))
	64.8%	#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 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
	14.6%	#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 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
	64.8%	#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 (sqrt.f64 #s(literal 2 binary64)) a2))))
	14.6%	#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 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
	37.0%	#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 (/.f64 a2 a1) a1) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1))))
	28.2%	#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 (/.f64 (fma.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a1 a1) #s(literal 1 binary64))) (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
	28.3%	#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 (/.f64 (fma.f64 (.f64 a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 a1 a1) a2)) #s(literal 1 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 a1 a1) a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
	28.3%	#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 (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))) (*.f64 a1 a1))))
	28.3%	#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 #s(approx (+ ( (/ a2 (* a1 a1)) (/ a2 (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (.f64 a1 a1))) (*.f64 a1 a1))))
	14.6%	#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 #s(approx (+ ( (/ a2 (* a1 a1)) (/ a2 (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
	27.9%	#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 #s(approx (+ ( (/ a2 (* a1 a1)) (/ a2 (sqrt 2))) (/ 1 (sqrt 2))) (.f64 (/.f64 a2 (.f64 a1 a1)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1))))
✓	64.8%	#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))))))
	64.8%	#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 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))))
	64.8%	#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 (neg.f64 a2) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
✓	14.6%	#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 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
	14.6%	#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 a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))
	30.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (/ a2 (sqrt 2)) (cos th)) a2) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) th) th (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))
	65.3%	#s(approx (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (cos th) 1/2)) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 4 591 to 1 467 computations (68% saved)

regimes202.0ms (2.3%)

Memory

18.1MiB live, 286.1MiB allocated

Counts

77 → 1

Calls

Call 1

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

Outputs
(.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))

Calls

8 calls:

47.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
24.0ms	a2
23.0ms	a1
22.0ms	(cos.f64 th)
21.0ms	(*.f64 a2 a2)

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)

regimes200.0ms (2.3%)

Memory

2.5MiB live, 203.9MiB allocated

Counts

74 → 1

Calls

Call 1

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

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

Calls

8 calls:

50.0ms	a2
24.0ms	(*.f64 a2 a2)
23.0ms	th
22.0ms	(cos.f64 th)
20.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Results

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

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes185.0ms (2.1%)

Memory

2.4MiB live, 197.3MiB allocated

Counts

68 → 1

Calls

Call 1

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

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

Calls

8 calls:

39.0ms	th
26.0ms	(*.f64 a2 a2)
22.0ms	a1
22.0ms	(cos.f64 th)
21.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Results

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

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes165.0ms (1.9%)

Memory

-6.6MiB live, 263.1MiB allocated

Counts

67 → 1

Calls

Call 1

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

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

Calls

8 calls:

27.0ms	a1
21.0ms	(*.f64 a2 a2)
20.0ms	th
20.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
19.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))

Results

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

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes222.0ms (2.5%)

Memory

-10.7MiB live, 319.8MiB allocated

Counts

65 → 1

Calls

Call 1

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

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

Calls

8 calls:

71.0ms	(+.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)))
26.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
23.0ms	th
23.0ms	a1
21.0ms	a2

Results

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

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes163.0ms (1.9%)

Memory

4.1MiB live, 239.1MiB allocated

Counts

63 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

26.0ms	(cos.f64 th)
23.0ms	(+.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)))
21.0ms	th
19.0ms	a2
18.0ms	(*.f64 a1 a1)

Results

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

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes211.0ms (2.4%)

Memory

9.1MiB live, 292.4MiB allocated

Counts

62 → 1

Calls

Call 1

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

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

Calls

8 calls:

58.0ms	(cos.f64 th)
36.0ms	(*.f64 a2 a2)
23.0ms	a2
19.0ms	th
19.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

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)

regimes188.0ms (2.2%)

Memory

15.4MiB live, 208.0MiB allocated

Counts

61 → 1

Calls

Call 1

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

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

Calls

8 calls:

37.0ms	(+.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)))
35.0ms	(cos.f64 th)
25.0ms	th
21.0ms	(*.f64 a2 a2)
19.0ms	a1

Results

Accuracy	Segments	Branch
99.1%	1	`th`
99.1%	1	`a2`
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 a2 a2)`
99.1%	1	`a1`
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)`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes156.0ms (1.8%)

Memory

3.6MiB live, 243.4MiB allocated

Counts

54 → 2

Calls

Call 1

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

Outputs

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

Calls

8 calls:

29.0ms	a2
23.0ms	th
19.0ms	(*.f64 a2 a2)
18.0ms	a1
18.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
65.3%	1	`a1`
65.3%	1	`a2`
65.3%	1	`th`
74.4%	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)))`
73.9%	2	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
73.9%	2	`(cos.f64 th)`
65.3%	1	`(*.f64 a1 a1)`
65.3%	1	`(*.f64 a2 a2)`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes28.0ms (0.3%)

Memory

-18.5MiB live, 58.2MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

5 calls:

7.0ms	(+.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	a2
5.0ms	(cos.f64 th)
5.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
5.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
65.3%	1	`a2`
65.3%	1	`(*.f64 a2 a2)`
65.3%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
65.3%	1	`(cos.f64 th)`
65.3%	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 30 to 30 computations (0% saved)

regimes78.0ms (0.9%)

Memory

5.8MiB live, 43.8MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

8 calls:

53.0ms	th
4.0ms	a1
4.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
4.0ms	a2
3.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
65.3%	1	`a1`
65.3%	1	`th`
65.3%	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)))`
65.3%	1	`(*.f64 a1 a1)`
65.3%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
65.3%	1	`(cos.f64 th)`
65.3%	1	`a2`
65.3%	1	`(*.f64 a2 a2)`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes20.0ms (0.2%)

Memory

-21.5MiB live, 33.0MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs

#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 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
64.8%	1	`th`
64.8%	1	`a1`
64.8%	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)))`
64.8%	1	`(*.f64 a1 a1)`
64.8%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
64.8%	1	`(cos.f64 th)`
64.8%	1	`a2`
64.8%	1	`(*.f64 a2 a2)`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes14.0ms (0.2%)

Memory

15.0MiB live, 15.0MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
64.8%	1	`a1`
64.8%	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)))`
64.8%	1	`th`
64.8%	1	`(*.f64 a1 a1)`
64.8%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
64.8%	1	`(cos.f64 th)`
64.8%	1	`a2`
64.8%	1	`(*.f64 a2 a2)`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes10.0ms (0.1%)

Memory

18.5MiB live, 18.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
14.6%	1	`a1`
14.6%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
14.6%	1	`(*.f64 a1 a1)`
14.6%	1	`th`
14.6%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
14.6%	1	`(cos.f64 th)`
14.6%	1	`a2`
14.6%	1	`(*.f64 a2 a2)`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.2903529566069406e-167	-4.81150636243779e-171

Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify23.0ms (0.3%)

Memory

-11.5MiB live, 28.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	101	382
1	155	376
2	254	376
3	443	376
4	647	376
5	702	376

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.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 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))) #s(literal 1/2 binary64))
#s(approx (* (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) 1/2) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (.f64 (.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(approx ( (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (*.f64 (cos.f64 th) #s(literal 1/2 binary64)))
(if (<=.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #s(literal -5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064 binary64)) #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (.f64 a2 (/.f64 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 (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (cos th))) 1/2) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (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)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))

Outputs
(.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 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))) #s(literal 1/2 binary64))
#s(approx (* (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) 1/2) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (.f64 (.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(approx ( (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (*.f64 (cos.f64 th) #s(literal 1/2 binary64)))
(if (<=.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #s(literal -5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064 binary64)) #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (.f64 a2 (/.f64 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)))))
(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 -5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064 binary64)) #s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (.f64 a2 (/.f64 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 (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (cos th))) 1/2) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (+ (* (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) 1/2) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) #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)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))

soundness1.6s (18.5%)

Memory

14.3MiB live, 1 117.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	396	2475
1	1284	2313
2	4776	2284
0	8051	2141
0	341	2021
1	1087	1904
2	3932	1731
0	8165	1635
0	12	44
0	20	38
1	58	38
2	411	38
3	7359	38
0	8465	37
0	111	576
1	343	562
2	1210	458
3	3908	429
0	8416	391
0	39	240
0	63	222
1	203	208
2	1420	208
0	8391	208
0	46	342
0	67	319
1	229	311
2	1884	303
0	8277	303
0	363	2202
1	1240	2122
2	4810	1842
0	8205	1709

Stop Event

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

Compiler

Compiled 877 to 422 computations (51.9% saved)

preprocess188.0ms (2.2%)

Memory

-11.7MiB live, 239.6MiB allocated

Remove

(abs a1)

(abs a2)

(abs th)

Compiler

Compiled 1 814 to 914 computations (49.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (14.8%)

explain137.0ms (1.6%)

preprocess138.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0%)

localize43.0ms (0.5%)

series17.0ms (0.2%)

simplify227.0ms (2.6%)

rewrite157.0ms (1.8%)

eval44.0ms (0.5%)

prune16.0ms (0.2%)

simplify45.0ms (0.5%)

localize142.0ms (1.6%)

series49.0ms (0.6%)

simplify172.0ms (2%)

rewrite236.0ms (2.7%)

eval220.0ms (2.5%)

prune195.0ms (2.2%)

simplify199.0ms (2.3%)

localize120.0ms (1.4%)

series45.0ms (0.5%)

simplify198.0ms (2.3%)

rewrite199.0ms (2.3%)

eval115.0ms (1.3%)

prune54.0ms (0.6%)

simplify183.0ms (2.1%)

localize164.0ms (1.9%)

series34.0ms (0.4%)

simplify182.0ms (2.1%)

rewrite248.0ms (2.8%)

eval131.0ms (1.5%)

prune52.0ms (0.6%)

regimes202.0ms (2.3%)

regimes200.0ms (2.3%)

regimes185.0ms (2.1%)

regimes165.0ms (1.9%)

regimes222.0ms (2.5%)

regimes163.0ms (1.9%)

regimes211.0ms (2.4%)

regimes188.0ms (2.2%)

regimes156.0ms (1.8%)

regimes28.0ms (0.3%)

regimes78.0ms (0.9%)

regimes20.0ms (0.2%)

regimes14.0ms (0.2%)

regimes10.0ms (0.1%)

bsearch1.0ms (0%)

simplify23.0ms (0.3%)

soundness1.6s (18.5%)

preprocess188.0ms (2.2%)

end0.0ms (0%)

Profiling