Metrics for Migdal et al, Equation (64)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

sample1.2s (14.4%)

Memory

35.7MiB live, 1 660.7MiB allocated

Samples

818.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 597.0ms

ival-mult: 213.0ms (35.7% of total)

ival-cos: 197.0ms (33% of total)

ival-sqrt: 79.0ms (13.2% of total)

ival-div: 55.0ms (9.2% of total)

ival-add: 38.0ms (6.4% of total)

ival-true: 7.0ms (1.2% of total)

exact: 6.0ms (1% of total)

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

Bogosity

explain181.0ms (2.1%)

Memory

4.1MiB live, 165.1MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

52.0ms

512×

valid

Compiler

Compiled 191 to 52 computations (72.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

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

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

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

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

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

ival-true: 1.0ms (3% of total)

exact: 0.0ms (0% of total)

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

preprocess162.0ms (1.9%)

Memory

-19.0MiB live, 58.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs th)

(abs a2)

(abs a1)

(sort a1 a2)

Compiler

Compiled 19 to 12 computations (36.8% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify4.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 th)
cost-diff	0	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
cost-diff	7	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize60.0ms (0.7%)

Memory

11.7MiB live, 53.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 th)
accuracy	0.213222509768442	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
accuracy	0.24285126953688405	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
accuracy	0.73046875	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Samples

35.0ms

256×

valid

Compiler

Compiled 114 to 26 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 13.0ms (53.1% of total)

ival-cos: 6.0ms (24.5% of total)

ival-div: 2.0ms (8.2% of total)

ival-sqrt: 2.0ms (8.2% of total)

ival-add: 1.0ms (4.1% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.3%)

Memory

-20.0MiB live, 18.7MiB 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
7.0ms	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)))
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)))

simplify298.0ms (3.5%)

Memory

13.8MiB live, 162.6MiB 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)

rewrite305.0ms (3.5%)

Memory

17.7MiB live, 145.7MiB 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 (.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))))

eval102.0ms (1.2%)

Memory: -28.3MiB live, 47.4MiB allocated
Compiler: Compiled 11 519 to 1 067 computations (90.7% saved)

prune14.0ms (0.2%)

Memory

23.9MiB live, 23.9MiB 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 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1) (.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)))
▶	99.7%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
	99.5%	(/.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)))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))))
	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 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)))))))
▶	99.6%	(.f64 (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
	99.6%	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
	99.6%	(.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))
▶	66.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
	62.2%	#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))))
	59.9%	#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))))))
	59.8%	#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))))
▶	99.4%	#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 644 to 436 computations (32.3% saved)

simplify46.0ms (0.5%)

Memory

-24.5MiB live, 14.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 th)
cost-diff	0	(*.f64 a2 (cos.f64 th))
cost-diff	0	(.f64 (fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
cost-diff	6	(fma.f64 (.f64 a2 (cos.f64 th)) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (cos.f64 th)) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	0	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (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 a2 a2 (.f64 a1 a1)) (cos.f64 th)))
cost-diff	2	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))))
cost-diff	0	(cos.f64 th)
cost-diff	0	(*.f64 (cos.f64 th) a2)
cost-diff	0	(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
cost-diff	3	(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
cost-diff	0	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
cost-diff	0	(*.f64 a1 a1)
cost-diff	0	(fma.f64 a2 a2 (*.f64 a1 a1))
cost-diff	0	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	275
0	61	259
1	112	247
2	196	247
3	357	247
4	780	241
5	1087	241
6	1218	241
7	1327	241
8	1402	241
9	1429	241
10	1429	241
0	1429	241

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize102.0ms (1.2%)

Memory

28.3MiB live, 70.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1640625	(.f64 (.f64 a1 (cos.f64 th)) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.16796875	(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	0.4296875	(*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.45703125	(*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.0	(cos.f64 th)
accuracy	0.1171875	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
accuracy	0.1328125	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))))
accuracy	0.8859775403439031	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)))
accuracy	0.109375	(*.f64 (cos.f64 th) a2)
accuracy	0.12188502851938547	#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	0.16796875	(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.41015625	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.14453125	(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
accuracy	0.41015625	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.4140625	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
accuracy	21.258376118044115	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.0	(cos.f64 th)
accuracy	0.17025375976844204	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
accuracy	0.23046875	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))

Samples

77.0ms

256×

valid

Compiler

Compiled 538 to 76 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 21.0ms (48.5% of total)

ival-div: 9.0ms (20.8% of total)

ival-cos: 6.0ms (13.8% of total)

ival-add: 4.0ms (9.2% of total)

ival-sqrt: 2.0ms (4.6% of total)

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

exact: 0.0ms (0% of total)

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

series55.0ms (0.6%)

Memory

-5.4MiB live, 32.8MiB allocated

Counts

23 → 96

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	a1	@	inf	((/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th))) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (/ (sqrt 2) (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) (cos th) (/ 1 (/ (sqrt 2) (* (+ (* a2 a2) (* a1 a1)) (cos th)))) (/ (sqrt 2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (+ (* (* 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)) (/ a1 (sqrt 2)) (* (/ a1 (sqrt 2)) a1) (* a2 (sqrt 2)) (* a1 (sqrt 2)) (* (* a1 (cos th)) (* a1 (sqrt 2))))
7.0ms	a2	@	inf	((/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th))) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (/ (sqrt 2) (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) (cos th) (/ 1 (/ (sqrt 2) (* (+ (* a2 a2) (* a1 a1)) (cos th)))) (/ (sqrt 2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (+ (* (* 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)) (/ a1 (sqrt 2)) (* (/ a1 (sqrt 2)) a1) (* a2 (sqrt 2)) (* a1 (sqrt 2)) (* (* a1 (cos th)) (* a1 (sqrt 2))))
4.0ms	a1	@	0	((/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th))) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (/ (sqrt 2) (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) (cos th) (/ 1 (/ (sqrt 2) (* (+ (* a2 a2) (* a1 a1)) (cos th)))) (/ (sqrt 2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (+ (* (* 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)) (/ a1 (sqrt 2)) (* (/ a1 (sqrt 2)) a1) (* a2 (sqrt 2)) (* a1 (sqrt 2)) (* (* a1 (cos th)) (* a1 (sqrt 2))))
4.0ms	a2	@	0	((/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th))) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (/ (sqrt 2) (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) (cos th) (/ 1 (/ (sqrt 2) (* (+ (* a2 a2) (* a1 a1)) (cos th)))) (/ (sqrt 2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (+ (* (* 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)) (/ a1 (sqrt 2)) (* (/ a1 (sqrt 2)) a1) (* a2 (sqrt 2)) (* a1 (sqrt 2)) (* (* a1 (cos th)) (* a1 (sqrt 2))))
4.0ms	th	@	inf	((/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th))) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (/ (sqrt 2) (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) (cos th) (/ 1 (/ (sqrt 2) (* (+ (* a2 a2) (* a1 a1)) (cos th)))) (/ (sqrt 2) (* (+ (* a2 a2) (* a1 a1)) (cos th))) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (+ (* (* 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)) (/ a1 (sqrt 2)) (* (/ a1 (sqrt 2)) a1) (* a2 (sqrt 2)) (* a1 (sqrt 2)) (* (* a1 (cos th)) (* a1 (sqrt 2))))

simplify197.0ms (2.3%)

Memory

9.2MiB live, 83.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	371	2208
1	1268	2119
2	4979	1990
0	8069	1845

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

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

rewrite290.0ms (3.4%)

Memory

-4.1MiB live, 195.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	224
0	61	208
1	203	196
2	1416	196
0	8214	196

Stop Event

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

Counts

23 → 1 482

Calls

Call 1

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

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

eval241.0ms (2.8%)

Memory: 5.4MiB live, 248.5MiB allocated
Compiler: Compiled 39 552 to 3 732 computations (90.6% saved)

prune83.0ms (1%)

Memory

-25.2MiB live, 97.6MiB allocated

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	1 235	27	1 262
Fresh	9	0	9
Picked	4	1	5
Done	0	0	0
Total	1 248	28	1 276

Accuracy

100.0%

Counts

1 276 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.8%	(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
▶	54.7%	(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (fma.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/24 binary64) (.f64 th th) #s(literal -1/2 binary64)))) (.f64 th th) (sqrt.f64 #s(literal 2 binary64)))))
	56.1%	(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (.f64 (fma.f64 (*.f64 th th) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
	66.7%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))))
	59.8%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
▶	99.6%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))) #s(literal 1/2 binary64))
	66.6%	(.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))
	99.4%	(.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))
	99.4%	#s(approx (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th))) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
	66.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
	66.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
	60.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
	53.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
	66.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
▶	54.8%	#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))))
	99.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
	99.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.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)))))
	99.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2))
	99.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)))
✓	99.4%	#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)))))
	99.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
	58.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(approx (cos th) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	58.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) a2 a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
▶	61.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 a2 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	36.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
	66.6%	#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 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))))
▶	66.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
	59.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (.f64 (.f64 a2 a2) (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)))))))

Compiler

Compiled 1 851 to 1 147 computations (38% saved)

simplify183.0ms (2.1%)

Memory

19.3MiB live, 135.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.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)))
cost-diff	0	#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))))
cost-diff	1	(+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) a1))
cost-diff	4	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
cost-diff	0	(fma.f64 a2 a2 (*.f64 a1 a1))
cost-diff	0	(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (fma.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/24 binary64) (.f64 th th) #s(literal -1/2 binary64)))) (.f64 th th) (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	1	(neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/24 binary64) (.f64 th th) #s(literal -1/2 binary64))))
cost-diff	1	(fma.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/24 binary64) (.f64 th th) #s(literal -1/2 binary64)))) (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(fma.f64 (.f64 a2 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)
cost-diff	0	#s(approx (* (cos th) a2) (fma.f64 (.f64 a2 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2))
cost-diff	0	(.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 a2 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 a2 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
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 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
cost-diff	0	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))) #s(literal 1/2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	484
0	89	463
1	178	463
2	427	451
3	1105	451
4	2357	451
5	3975	448
6	6709	448
0	8131	439

Stop Event

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

Calls

Call 1

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

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

localize147.0ms (1.7%)

Memory

-4.2MiB live, 191.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	5.1929574703459425	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
accuracy	7.069079003022534	(/.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)))
accuracy	9.434933136283265	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) a1)
accuracy	21.258376118044115	#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))))
accuracy	0.11785126953688403	(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/24 binary64) (.f64 th th) #s(literal -1/2 binary64)))
accuracy	0.17025375976844204	(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (fma.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/24 binary64) (.f64 th th) #s(literal -1/2 binary64)))) (.f64 th th) (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0.2839176496589465	(fma.f64 #s(literal -5/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))
accuracy	31.974673663433194	#s(approx (/ (sqrt 2) (cos th)) (fma.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/24 binary64) (.f64 th th) #s(literal -1/2 binary64)))) (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.2537408487011025	(fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))
accuracy	0.41015625	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.9631705945410156	(.f64 a2 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64)))
accuracy	31.621972432741863	#s(approx (* (cos th) a2) (fma.f64 (.f64 a2 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2))
accuracy	0.12188502851938547	#s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0.13671875	(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.41015625	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
accuracy	21.258376118044115	#s(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	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.0	(cos.f64 th)
accuracy	0.1171875	(.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))
accuracy	0.2701950195368841	(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))

Samples

103.0ms

256×

valid

Compiler

Compiled 845 to 106 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-mult: 34.0ms (42.6% of total)

ival-add: 18.0ms (22.6% of total)

ival-div: 11.0ms (13.8% of total)

const: 7.0ms (8.8% of total)

ival-cos: 6.0ms (7.5% of total)

ival-sqrt: 2.0ms (2.5% of total)

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

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

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

exact: 0.0ms (0% of total)

series53.0ms (0.6%)

Memory

22.2MiB live, 98.8MiB allocated

Counts

27 → 108

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	a2	@	0	((* (* (sqrt 2) (* (cos th) (+ (* a2 a2) (* a1 a1)))) 1/2) (* (sqrt 2) (* (cos th) (+ (* a2 a2) (* a1 a1)))) (sqrt 2) (* (cos th) (+ (* a2 a2) (* a1 a1))) (+ (* (/ (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)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (+ (* (* a2 (+ (* 1/24 (* th th)) -1/2)) (* th th)) a2) (+ (* (neg (* (sqrt 2) (+ (* -5/24 (* th th)) -1/2))) (* th th)) (sqrt 2)) (neg (* (sqrt 2) (+ (* -5/24 (* th th)) -1/2))) (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th))) (+ (* a2 a2) (* a1 a1)) (* (/ (sqrt 2) (* a2 a2)) (/ (sqrt 2) a1)) (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (* (/ (sqrt 2) (* a2 a2)) (/ (sqrt 2) a1))) (cos th) (* a2 (+ (* 1/24 (* th th)) -1/2)) (+ (* 1/24 (* th th)) -1/2) (/ (sqrt 2) (cos th)) (+ (* -5/24 (* th th)) -1/2) (* (sqrt 2) (+ (* -5/24 (* th th)) -1/2)) (* (/ (sqrt 2) (* a2 a2)) a1))
7.0ms	a1	@	-inf	((* (* (sqrt 2) (* (cos th) (+ (* a2 a2) (* a1 a1)))) 1/2) (* (sqrt 2) (* (cos th) (+ (* a2 a2) (* a1 a1)))) (sqrt 2) (* (cos th) (+ (* a2 a2) (* a1 a1))) (+ (* (/ (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)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (+ (* (* a2 (+ (* 1/24 (* th th)) -1/2)) (* th th)) a2) (+ (* (neg (* (sqrt 2) (+ (* -5/24 (* th th)) -1/2))) (* th th)) (sqrt 2)) (neg (* (sqrt 2) (+ (* -5/24 (* th th)) -1/2))) (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th))) (+ (* a2 a2) (* a1 a1)) (* (/ (sqrt 2) (* a2 a2)) (/ (sqrt 2) a1)) (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (* (/ (sqrt 2) (* a2 a2)) (/ (sqrt 2) a1))) (cos th) (* a2 (+ (* 1/24 (* th th)) -1/2)) (+ (* 1/24 (* th th)) -1/2) (/ (sqrt 2) (cos th)) (+ (* -5/24 (* th th)) -1/2) (* (sqrt 2) (+ (* -5/24 (* th th)) -1/2)) (* (/ (sqrt 2) (* a2 a2)) a1))
7.0ms	a2	@	inf	((* (* (sqrt 2) (* (cos th) (+ (* a2 a2) (* a1 a1)))) 1/2) (* (sqrt 2) (* (cos th) (+ (* a2 a2) (* a1 a1)))) (sqrt 2) (* (cos th) (+ (* a2 a2) (* a1 a1))) (+ (* (/ (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)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (+ (* (* a2 (+ (* 1/24 (* th th)) -1/2)) (* th th)) a2) (+ (* (neg (* (sqrt 2) (+ (* -5/24 (* th th)) -1/2))) (* th th)) (sqrt 2)) (neg (* (sqrt 2) (+ (* -5/24 (* th th)) -1/2))) (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th))) (+ (* a2 a2) (* a1 a1)) (* (/ (sqrt 2) (* a2 a2)) (/ (sqrt 2) a1)) (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (* (/ (sqrt 2) (* a2 a2)) (/ (sqrt 2) a1))) (cos th) (* a2 (+ (* 1/24 (* th th)) -1/2)) (+ (* 1/24 (* th th)) -1/2) (/ (sqrt 2) (cos th)) (+ (* -5/24 (* th th)) -1/2) (* (sqrt 2) (+ (* -5/24 (* th th)) -1/2)) (* (/ (sqrt 2) (* a2 a2)) a1))
5.0ms	a2	@	-inf	((* (* (sqrt 2) (* (cos th) (+ (* a2 a2) (* a1 a1)))) 1/2) (* (sqrt 2) (* (cos th) (+ (* a2 a2) (* a1 a1)))) (sqrt 2) (* (cos th) (+ (* a2 a2) (* a1 a1))) (+ (* (/ (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)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (+ (* (* a2 (+ (* 1/24 (* th th)) -1/2)) (* th th)) a2) (+ (* (neg (* (sqrt 2) (+ (* -5/24 (* th th)) -1/2))) (* th th)) (sqrt 2)) (neg (* (sqrt 2) (+ (* -5/24 (* th th)) -1/2))) (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th))) (+ (* a2 a2) (* a1 a1)) (* (/ (sqrt 2) (* a2 a2)) (/ (sqrt 2) a1)) (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (* (/ (sqrt 2) (* a2 a2)) (/ (sqrt 2) a1))) (cos th) (* a2 (+ (* 1/24 (* th th)) -1/2)) (+ (* 1/24 (* th th)) -1/2) (/ (sqrt 2) (cos th)) (+ (* -5/24 (* th th)) -1/2) (* (sqrt 2) (+ (* -5/24 (* th th)) -1/2)) (* (/ (sqrt 2) (* a2 a2)) a1))
4.0ms	a1	@	0	((* (* (sqrt 2) (* (cos th) (+ (* a2 a2) (* a1 a1)))) 1/2) (* (sqrt 2) (* (cos th) (+ (* a2 a2) (* a1 a1)))) (sqrt 2) (* (cos th) (+ (* a2 a2) (* a1 a1))) (+ (* (/ (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)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (+ (* (* a2 (+ (* 1/24 (* th th)) -1/2)) (* th th)) a2) (+ (* (neg (* (sqrt 2) (+ (* -5/24 (* th th)) -1/2))) (* th th)) (sqrt 2)) (neg (* (sqrt 2) (+ (* -5/24 (* th th)) -1/2))) (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th))) (+ (* a2 a2) (* a1 a1)) (* (/ (sqrt 2) (* a2 a2)) (/ (sqrt 2) a1)) (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (* (/ (sqrt 2) (* a2 a2)) (/ (sqrt 2) a1))) (cos th) (* a2 (+ (* 1/24 (* th th)) -1/2)) (+ (* 1/24 (* th th)) -1/2) (/ (sqrt 2) (cos th)) (+ (* -5/24 (* th th)) -1/2) (* (sqrt 2) (+ (* -5/24 (* th th)) -1/2)) (* (/ (sqrt 2) (* a2 a2)) a1))

simplify186.0ms (2.2%)

Memory

-10.0MiB live, 266.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	311	1846
1	1030	1709
2	3805	1557
0	8503	1439

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 107

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)))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(/ (pow (sqrt 2) 2) (* a1 (pow a2 2)))
(/ (sqrt 2) a1)
(/ (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) a1)
(/ (* a1 (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) (* (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)))))
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* a1 (+ (/ (sqrt 2) (pow a1 2)) (/ (sqrt 2) (pow a2 2))))
(* -1 (* a1 (+ (* -1 (/ (sqrt 2) (pow a1 2))) (* -1 (/ (sqrt 2) (pow a2 2))))))
(/ a2 (sqrt 2))
(* a2 (cos th))
(* a2 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2))))
(/ (+ (* a1 (sqrt 2)) (/ (* (pow a2 2) (sqrt 2)) a1)) (pow a2 2))
(* a2 (- (* 1/24 (pow th 2)) 1/2))
(* (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)))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(+ (/ (sqrt 2) a1) (/ (* a1 (sqrt 2)) (pow a2 2)))
(* -1 (* a2 (- (* -1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2))) 1)))
(* 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))))
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))
a2
(+ a2 (* -1/2 (* a2 (pow th 2))))
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))))
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2))))))
(sqrt 2)
(+ (sqrt 2) (* 1/2 (* (pow th 2) (sqrt 2))))
(+ (sqrt 2) (* (pow th 2) (+ (* 5/24 (* (pow th 2) (sqrt 2))) (* 1/2 (sqrt 2)))))
(* 1/2 (sqrt 2))
(- (* 5/24 (* (pow th 2) (sqrt 2))) (* -1/2 (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
(+ 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 a2)
(+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))
-1/2
(- (* 1/24 (pow th 2)) 1/2)
(+ (sqrt 2) (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
(+ (sqrt 2) (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (sqrt 2)) (+ (* 1/48 (sqrt 2)) (* 1/2 (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2)))))))) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
(- (* -5/24 (pow th 2)) 1/2)
(* -1/2 (sqrt 2))
(+ (* -1/2 (sqrt 2)) (* -5/24 (* (pow th 2) (sqrt 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)))
(* 1/24 (* a2 (pow th 4)))
(* (pow th 4) (+ (* -1/2 (/ a2 (pow th 2))) (* 1/24 a2)))
(* (pow th 4) (+ (* -1/2 (/ a2 (pow th 2))) (+ (* 1/24 a2) (/ a2 (pow th 4)))))
(* 5/24 (* (pow th 4) (sqrt 2)))
(* (pow th 4) (+ (* 5/24 (sqrt 2)) (* 1/2 (/ (sqrt 2) (pow th 2)))))
(* (pow th 4) (+ (* 5/24 (sqrt 2)) (+ (* 1/2 (/ (sqrt 2) (pow th 2))) (/ (sqrt 2) (pow th 4)))))
(* 5/24 (* (pow th 2) (sqrt 2)))
(* (pow th 2) (- (* 1/2 (/ (sqrt 2) (pow th 2))) (* -5/24 (sqrt 2))))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(cos th)
(* 1/24 (* a2 (pow th 2)))
(* (pow th 2) (+ (* -1/2 (/ a2 (pow th 2))) (* 1/24 a2)))
(* 1/24 (pow th 2))
(* (pow th 2) (- 1/24 (* 1/2 (/ 1 (pow th 2)))))
(/ (sqrt 2) (cos th))
(* -5/24 (pow th 2))
(* -1 (* (pow th 2) (+ 5/24 (* 1/2 (/ 1 (pow th 2))))))
(* -5/24 (* (pow th 2) (sqrt 2)))
(* (pow th 2) (+ (* -1/2 (/ (sqrt 2) (pow th 2))) (* -5/24 (sqrt 2))))

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

rewrite193.0ms (2.2%)

Memory

6.5MiB live, 284.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	420
0	89	399
1	322	387
2	2509	371
0	8658	366

Stop Event

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

Counts

27 → 745

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a2 a2 (.f64 a1 a1)))
(.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 (cos.f64 th) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.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 (cos.f64 th) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal 1/2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) (cos.f64 th))
(.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(.f64 (cos.f64 th) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.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 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))
(/.f64 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (+.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 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2) (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(fma.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1) (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(fma.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 a2 a2) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 a1) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 a1 a1) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 (cos.f64 th) a1) a1)))
(+.f64 (.f64 (.f64 a2 a2) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 a1 a1) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 a1 a1) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 a2 a2) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.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 (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(+.f64 (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 th) a2) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 th) 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)))
(pow.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (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 (.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 6 binary64)) (pow.f64 a2 #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 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 (cos.f64 th) a1) a1)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64)) (.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 (cos.f64 th) a1) a1)))))
(/.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 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 (cos.f64 th) a1) a1 (.f64 (*.f64 (cos.f64 th) a2) a2))
(fma.f64 (.f64 a2 a2) (cos.f64 th) (.f64 (*.f64 (cos.f64 th) a1) a1))
(fma.f64 (.f64 (cos.f64 th) a2) a2 (.f64 (*.f64 (cos.f64 th) a1) a1))
(fma.f64 (cos.f64 th) (.f64 a2 a2) (.f64 (*.f64 (cos.f64 th) a1) a1))
(fma.f64 (cos.f64 th) (.f64 a1 a1) (.f64 (*.f64 (cos.f64 th) a2) a2))
(fma.f64 (.f64 a1 a1) (cos.f64 th) (.f64 (*.f64 (cos.f64 th) a2) a2))
(fma.f64 a1 (.f64 a1 (cos.f64 th)) (.f64 (*.f64 (cos.f64 th) a2) a2))
(fma.f64 a2 (.f64 (cos.f64 th) a2) (.f64 (*.f64 (cos.f64 th) a1) a1))
(+.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (cos.f64 th) a2) a2))
(+.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 (cos.f64 th) a1) a1))
#s(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 a2) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (*.f64 (pow.f64 a2 #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(/.f64 (*.f64 a2 #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a2 #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.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 (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 #s(literal 1 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 a2) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal -1 binary64))
(/.f64 (*.f64 a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(/.f64 (neg.f64 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.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)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) #s(literal -1 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) a2) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 #s(approx (* (cos th) a2) (fma.f64 (.f64 (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) a2) (*.f64 th th) a2)) a2) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) a2) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(approx ( (cos th) a2) (fma.f64 (.f64 (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) a2) (*.f64 th th) a2)))
(.f64 a2 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(approx (* (cos th) a2) (fma.f64 (.f64 (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) a2) (*.f64 th th) a2))))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) a2) (*.f64 th th) a2)) a2)) #s(literal -1 binary64))
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(pow.f64 (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) #s(literal -1/48 binary64)))) (fma.f64 #s(literal 1/13824 binary64) (pow.f64 th #s(literal 6 binary64)) #s(literal -1/8 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/576 binary64)) (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/576 binary64))) (-.f64 #s(literal -1/2 binary64) (.f64 (*.f64 th th) #s(literal 1/24 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 th #s(literal 6 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) #s(literal -1/48 binary64))))))
(/.f64 (fma.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) #s(literal -1/48 binary64)))) (fma.f64 #s(literal 1/13824 binary64) (pow.f64 th #s(literal 6 binary64)) #s(literal -1/8 binary64))))
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 th #s(literal 6 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/576 binary64)) (.f64 (*.f64 th th) #s(literal -1/48 binary64)))))
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 th #s(literal 6 binary64)) #s(literal -1/8 binary64)) (fma.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) #s(literal -1/48 binary64)))))
(fma.f64 (*.f64 #s(literal 1/24 binary64) th) th #s(literal -1/2 binary64))
(fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))
(fma.f64 th (*.f64 #s(literal 1/24 binary64) th) #s(literal -1/2 binary64))
(-.f64 (/.f64 (.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal 1/576 binary64)) (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64)))
#s(approx (/ (sqrt 2) (cos th)) (fma.f64 (.f64 (.f64 th th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 #s(literal -5/24 binary64) (*.f64 th th) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 #s(literal 25/576 binary64) (pow.f64 th #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal -5/24 binary64) (.f64 th th) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -125/13824 binary64) (pow.f64 th #s(literal 6 binary64)) #s(literal -1/8 binary64)) (pow.f64 (fma.f64 #s(literal 25/576 binary64) (pow.f64 th #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 th th) #s(literal 5/48 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal -5/24 binary64) (*.f64 th th) #s(literal 1/2 binary64)) (fma.f64 #s(literal 25/576 binary64) (pow.f64 th #s(literal 4 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 25/576 binary64) (pow.f64 th #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) #s(literal 5/48 binary64)))) (fma.f64 #s(literal -125/13824 binary64) (pow.f64 th #s(literal 6 binary64)) #s(literal -1/8 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 25/576 binary64) (pow.f64 th #s(literal 4 binary64))) (fma.f64 #s(literal -5/24 binary64) (.f64 th th) #s(literal 1/2 binary64))) (.f64 (fma.f64 #s(literal -5/24 binary64) (.f64 th th) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal -5/24 binary64) (.f64 th th) #s(literal 1/2 binary64)) (fma.f64 #s(literal -5/24 binary64) (.f64 th th) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 25/576 binary64) (pow.f64 th #s(literal 4 binary64)))) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal -5/24 binary64) (*.f64 th th))))
(/.f64 (neg.f64 (fma.f64 #s(literal 25/576 binary64) (pow.f64 th #s(literal 4 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal -5/24 binary64) (*.f64 th th) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -125/13824 binary64) (pow.f64 th #s(literal 6 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 #s(literal 25/576 binary64) (pow.f64 th #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) #s(literal 5/48 binary64))))))
(/.f64 (fma.f64 #s(literal 25/576 binary64) (pow.f64 th #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal -5/24 binary64) (*.f64 th th) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -5/24 binary64) (*.f64 th th) #s(literal 1/2 binary64)) (fma.f64 #s(literal 25/576 binary64) (pow.f64 th #s(literal 4 binary64)) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 25/576 binary64) (pow.f64 th #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) #s(literal 5/48 binary64)))) (fma.f64 #s(literal -125/13824 binary64) (pow.f64 th #s(literal 6 binary64)) #s(literal -1/8 binary64))))
(/.f64 (fma.f64 #s(literal -125/13824 binary64) (pow.f64 th #s(literal 6 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 25/576 binary64) (pow.f64 th #s(literal 4 binary64))) (.f64 (*.f64 th th) #s(literal 5/48 binary64)))))
(/.f64 (fma.f64 #s(literal -125/13824 binary64) (pow.f64 th #s(literal 6 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal 25/576 binary64) (pow.f64 th #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) #s(literal 5/48 binary64)))))
(fma.f64 (*.f64 #s(literal -5/24 binary64) th) th #s(literal -1/2 binary64))
(fma.f64 #s(literal -5/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))
(fma.f64 (*.f64 th th) #s(literal -5/24 binary64) #s(literal -1/2 binary64))
(fma.f64 th (*.f64 #s(literal -5/24 binary64) th) #s(literal -1/2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 25/576 binary64) (pow.f64 th #s(literal 4 binary64))) (fma.f64 #s(literal -5/24 binary64) (.f64 th th) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -5/24 binary64) (*.f64 th th) #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal -5/24 binary64) (.f64 th th)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -5/24 binary64) (.f64 th th)))
(.f64 (fma.f64 #s(literal -5/24 binary64) (.f64 th th) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/24 binary64) (.f64 th th) #s(literal -1/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 25/576 binary64) (pow.f64 th #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -5/24 binary64) (.f64 th th) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -125/13824 binary64) (pow.f64 th #s(literal 6 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 25/576 binary64) (pow.f64 th #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 th th) #s(literal 5/48 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 25/576 binary64) (pow.f64 th #s(literal 4 binary64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal -5/24 binary64) (.f64 th th) #s(literal 1/2 binary64)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -125/13824 binary64) (pow.f64 th #s(literal 6 binary64)) #s(literal -1/8 binary64))) (fma.f64 #s(literal 25/576 binary64) (pow.f64 th #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 th th) #s(literal 5/48 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/24 binary64)) (.f64 th th)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/24 binary64)) (.f64 th th)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal -125/13824 binary64) (pow.f64 th #s(literal 6 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/24 binary64)) (.f64 th th)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/24 binary64)) (.f64 th th)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -5/24 binary64) th)) th (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/24 binary64)) (.f64 th th) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 th th)) #s(literal -5/24 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal -5/24 binary64) th) (.f64 th (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal -5/24 binary64) (.f64 th th)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -5/24 binary64) (.f64 (.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/24 binary64)) (*.f64 th th)))
(fma.f64 (.f64 th th) (.f64 #s(literal -5/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -5/24 binary64) (.f64 th th)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/24 binary64)) (*.f64 th th)))
(+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/24 binary64)) (.f64 th th)))
(+.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/24 binary64)) (.f64 th th)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal -2 binary64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 a1 a2))
(.f64 (.f64 (pow.f64 a2 #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))) a1)
(.f64 a1 (.f64 (pow.f64 a2 #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 a1 (.f64 a2 a2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 a2 #s(literal -2 binary64)) a1))
(pow.f64 (/.f64 (.f64 a2 a2) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a2) a2)
(/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a1) a2)
(/.f64 (.f64 #s(literal 1 binary64) a1) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(/.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) a1) (.f64 (neg.f64 a2) a2))
(/.f64 (*.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)
(/.f64 (.f64 a1 #s(literal 1 binary64)) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(/.f64 (.f64 a1 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 a2) a2))
(/.f64 (neg.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 a2) a2))
(/.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))

eval148.0ms (1.7%)

Memory: -23.2MiB live, 292.7MiB allocated
Compiler: Compiled 41 818 to 3 974 computations (90.5% saved)

prune49.0ms (0.6%)

Memory

5.6MiB live, 129.8MiB allocated

Pruning

34 alts after pruning (32 fresh and 2 done)

	Pruned	Kept	Total
New	926	19	945
Fresh	9	13	22
Picked	3	2	5
Done	1	0	1
Total	939	34	973

Accuracy

100.0%

Counts

973 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.1%	(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (.f64 (fma.f64 (*.f64 th th) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
	99.4%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)))) #s(literal 1/2 binary64))
▶	59.7%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))) #s(literal 1/2 binary64))
	99.4%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (cos th) (+ (* a2 a2) (* a1 a1))) (.f64 (.f64 (cos.f64 th) a2) a2))) #s(literal 1/2 binary64))
	66.6%	(.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))
	99.4%	(.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))
	66.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
	60.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
	60.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) a1)))
	53.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
	66.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
	42.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (fma.f64 (/.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a2) a1 (.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a1)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
	54.7%	#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 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a1))))
	54.7%	#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)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 a2 a2) (neg.f64 a1)))))
▶	54.8%	#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)) #s(literal 1 binary64)) (.f64 (*.f64 a2 a2) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
	54.8%	#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)) a2) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2))))
	54.7%	#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 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 a2 a2) a1)))))
▶	99.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
	16.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (.f64 a2 a2) a1) a1)) (.f64 a2 a2))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
▶	61.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
	59.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))))
	99.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)))
	58.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(approx (cos th) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	58.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) a2 a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
✓	61.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 a2 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	66.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
	66.4%	#s(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))))
	43.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (.f64 (fma.f64 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a2 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
	36.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
	66.6%	#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 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))))
✓	66.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
	66.4%	#s(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)))))
▶	16.3%	#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 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
	59.6%	#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)))))))

Compiler

Compiled 2 619 to 1 526 computations (41.7% saved)

simplify168.0ms (1.9%)

Memory

19.5MiB live, 135.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	1	(+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) a1))
cost-diff	2	(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
cost-diff	4	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 a2 a2) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	5	(/.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)) #s(literal 1 binary64)) (.f64 (*.f64 a2 a2) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
cost-diff	0	#s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
cost-diff	0	(/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
cost-diff	0	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
cost-diff	4	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
cost-diff	0	(.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))))
cost-diff	0	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* (/ 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 (cos.f64 th) a2)
cost-diff	0	(.f64 (.f64 (cos.f64 th) a2) a2)
cost-diff	0	(/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	491
0	86	455
1	156	455
2	406	425
3	1102	425
4	2671	421
5	3544	421
6	4449	417
7	6278	417
8	6291	417
9	6304	417
10	7193	417
11	7193	417
12	7193	417
13	7193	417
14	7193	417
15	7193	417
16	7580	417
17	7580	417
0	8419	413

Stop Event

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

Calls

Call 1

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

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

localize122.0ms (1.4%)

Memory

-13.9MiB live, 228.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	5.523278830275926	(.f64 (.f64 a2 a2) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
accuracy	7.069079003022534	(/.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)) #s(literal 1 binary64)) (.f64 (*.f64 a2 a2) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
accuracy	9.434933136283265	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) a1)
accuracy	21.258376118044115	#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)) #s(literal 1 binary64)) (.f64 (*.f64 a2 a2) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
accuracy	0.919179608857563	#s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
accuracy	5.1929574703459425	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
accuracy	7.069079003022534	(/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
accuracy	21.258376118044115	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
accuracy	0.1171875	(.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
accuracy	0.1968163320959036	(fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))
accuracy	0.2701950195368841	(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))))
accuracy	32.12477623702513	#s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))
accuracy	0.14453125	(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.4140625	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
accuracy	21.258376118044115	#s(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	52.3501099538314	#s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0.1015625	(.f64 (.f64 (cos.f64 th) a2) a2)
accuracy	0.109375	(*.f64 (cos.f64 th) a2)
accuracy	0.12188502851938547	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.20769501953688402	(/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))

Samples

81.0ms

256×

valid

Compiler

Compiled 854 to 100 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 28.0ms (51.4% of total)

ival-div: 12.0ms (22% of total)

ival-cos: 6.0ms (11% of total)

ival-add: 5.0ms (9.2% of total)

ival-sqrt: 2.0ms (3.7% of total)

exact: 1.0ms (1.8% of total)

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

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

series34.0ms (0.4%)

Memory

-9.0MiB live, 69.2MiB allocated

Counts

25 → 72

Calls

Call 1

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

Calls

9 calls:

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

simplify185.0ms (2.1%)

Memory

40.5MiB live, 276.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	226	1342
1	740	1225
2	2799	1115
3	7162	1068
0	8184	980

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 71

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

Outputs
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(.f64 (.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
(/ (pow a2 2) (sqrt 2))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
(/ (pow a1 2) (sqrt 2))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(* 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 (.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 a2 (cos.f64 th)) a2)
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))
(/ (pow (sqrt 2) 2) (* a1 (pow a2 2)))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 a2 a2) a1))
(/ (sqrt 2) a1)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)
(/ (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) a1)
(/.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a1) (/.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64))) a1)
(/ (* a1 (sqrt 2)) (pow a2 2))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 a1 a2))
(/ (* a1 (pow a2 2)) (sqrt 2))
(.f64 (.f64 a1 a2) (/.f64 a2 (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 (.f64 a2 (cos.f64 th)) a2) #s(literal 1 binary64) (.f64 (.f64 (cos.f64 th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.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)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (cos.f64 th))))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 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))))
(fma.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) #s(literal 1 binary64) (.f64 (.f64 (cos.f64 th) a1) a1))
(* a1 (+ (/ (sqrt 2) (pow a1 2)) (/ (sqrt 2) (pow a2 2))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 a1 a2) (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(* -1 (* a1 (+ (* -1 (/ (sqrt 2) (pow a1 2))) (* -1 (/ (sqrt 2) (pow a2 2))))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 a1 a2) (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(/ (+ (* a1 (sqrt 2)) (/ (* (pow a2 2) (sqrt 2)) a1)) (pow a2 2))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (/.f64 a2 a1) a2 a1)) (.f64 a2 a2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/.f64 (fma.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 1 binary64) (.f64 (.f64 a2 (cos.f64 th)) a2)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
(* (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)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (/.f64 (/.f64 a1 a2) a2) a1 #s(literal 1 binary64)) (cos.f64 th))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 (/.f64 (/.f64 a1 a2) a2) a1 #s(literal 1 binary64)) (cos.f64 th))) (.f64 a2 a2))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(fma.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 1 binary64) (.f64 (.f64 a2 (cos.f64 th)) a2))
(+ (/ (sqrt 2) a1) (/ (* a1 (sqrt 2)) (pow a2 2)))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 a1 a2) (/.f64 (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)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 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))))
(fma.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))) (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 a2 a2 (*.f64 a1 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 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 #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 a2 a2 (.f64 a1 a1))) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64))) (.f64 th th)) (*.f64 th th)))
(+ (* -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 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) 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)))
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (.f64 (.f64 (.f64 (.f64 a2 a2) th) (/.f64 th (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 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 (pow.f64 th #s(literal 4 binary64)) (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
(pow a2 2)
(*.f64 a2 a2)
(+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (*.f64 a2 a2))
(+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* 1/24 (* (pow a2 2) (pow th 2))))) (pow a2 2))
(fma.f64 (.f64 (.f64 a2 a2) (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64))) (.f64 th th) (*.f64 a2 a2))
(+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))) (pow a2 2))
(fma.f64 (pow.f64 th #s(literal 4 binary64)) (.f64 (.f64 a2 a2) (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (.f64 a2 a2)))
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 (pow.f64 th #s(literal 4 binary64)) (.f64 a2 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) a2))
(* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (.f64 th th) #s(literal 1/2 binary64)))
(+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/48 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))
(.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 th th) (fma.f64 #s(literal 1/48 binary64) (*.f64 th th) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/1440 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/48 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 th th) (fma.f64 #s(literal -1/1440 binary64) (.f64 th th) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) (*.f64 th th)))
(* (sqrt 2) (+ (pow a1 2) (pow a2 2)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -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 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (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))))))))
(.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (.f64 (.f64 th th) (.f64 #s(literal 1/24 binary64) (.f64 th th)))))
(+ (* (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)))))))))
(fma.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th) #s(literal -1/2 binary64))) (.f64 th th) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(+ (pow a1 2) (pow a2 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+ (* -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 a2 a2 (*.f64 a1 a1)))
(+ (* (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 a2 a2 (.f64 a1 a1)) (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64))) (.f64 th th) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (+ (pow a1 2) (pow a2 2))))))) (+ (pow a1 2) (pow a2 2)))
(fma.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 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) (fma.f64 a2 a2 (.f64 a1 a1)))
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)
(cos.f64 th)
(* -1/2 (pow th 2))
(.f64 #s(literal -1/2 binary64) (.f64 th th))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))

rewrite235.0ms (2.7%)

Memory

-38.2MiB live, 328.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	420
0	86	384
1	279	360
2	2121	344
0	8345	336

Stop Event

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

Counts

25 → 987

Calls

Call 1

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

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

eval134.0ms (1.6%)

Memory: 40.4MiB live, 355.6MiB allocated
Compiler: Compiled 47 435 to 4 017 computations (91.5% saved)

prune97.0ms (1.1%)

Memory

-34.8MiB live, 165.6MiB allocated

Pruning

37 alts after pruning (32 fresh and 5 done)

	Pruned	Kept	Total
New	1 024	19	1 043
Fresh	14	13	27
Picked	2	3	5
Done	0	2	2
Total	1 040	37	1 077

Accuracy

100.0%

Counts

1 077 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.1%	(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (.f64 (fma.f64 (*.f64 th th) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
	99.4%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)))) #s(literal 1/2 binary64))
✓	59.7%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))) #s(literal 1/2 binary64))
	66.6%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (cos th) (+ (* a2 a2) (* a1 a1))) (fma.f64 a2 a2 (*.f64 a1 a1)))) #s(literal 1/2 binary64))
	99.4%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (cos th) (+ (* a2 a2) (* a1 a1))) (.f64 (.f64 (cos.f64 th) a2) a2))) #s(literal 1/2 binary64))
	99.4%	(.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))
	60.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
	42.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (fma.f64 (/.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a2) a1 (.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a1)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
✓	99.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
	16.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (/.f64 a2 a1) a2 a1)) (.f64 a2 a2))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
	61.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a1))))
	61.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 a2 a2) (neg.f64 a1)))))
	61.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 #s(literal 2 binary64) (.f64 (.f64 a2 a2) a1))))
	61.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 a2 a2) a1)) (sqrt.f64 #s(literal 2 binary64)))))
	61.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2))))
	59.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* (cos th) a2) a2) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
	66.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* (cos th) a2) a2) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	60.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 #s(approx (+ (/ (sqrt 2) a1) ( (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))))
	60.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) (sqrt.f64 #s(literal 2 binary64))) a1))
	60.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
	99.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)))
	58.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(approx (cos th) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	61.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a2 a2) a1)) #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
	58.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) a2 a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
✓	61.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 a2 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	59.6%	#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 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
	16.3%	#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 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
	66.4%	#s(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))))
	16.3%	#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 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
	16.3%	#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(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
	43.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (.f64 (fma.f64 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a2 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
	36.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
	66.6%	#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 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))))
✓	66.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
	66.4%	#s(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)))))
✓	16.3%	#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 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
	16.3%	#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 a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))

Compiler

Compiled 4 390 to 1 224 computations (72.1% saved)

regimes209.0ms (2.4%)

Memory

9.3MiB live, 330.1MiB allocated

Counts

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

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

Calls

8 calls:

42.0ms	a2
38.0ms	a1
22.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
22.0ms	(*.f64 a2 a2)
22.0ms	th

Results

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

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes173.0ms (2%)

Memory

24.0MiB live, 302.3MiB allocated

Counts

70 → 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 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* (cos th) a2) a2) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (cos th) (+ (* a2 a2) (* a1 a1))) (fma.f64 a2 a2 (*.f64 a1 a1)))) #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))))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ 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)))))
#s(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 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 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a2 a2) a1)) #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) 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 (* (* (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))) #s(approx (/ (* (* (cos th) a2) a2) (sqrt 2)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) a2 a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* (cos th) a2) a2) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))) #s(literal 1/2 binary64))
(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (.f64 (fma.f64 (*.f64 th th) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 a2 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (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)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 #s(literal 2 binary64) (.f64 (.f64 a2 a2) 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 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (.f64 (.f64 a2 a2) (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))) (.f64 (.f64 #s(approx (cos th) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
#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))) (/.f64 (fma.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) a1)))
(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (fma.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/24 binary64) (.f64 th th) #s(literal -1/2 binary64)))) (.f64 th th) (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 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (.f64 (fma.f64 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a2 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) (sqrt.f64 #s(literal 2 binary64))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 a2 a2) a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64)) th) th #s(literal 1 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 a2 a2) (neg.f64 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))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) 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))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 #s(approx (+ (/ (sqrt 2) a1) ( (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (/.f64 a2 a1) a2 a1)) (.f64 a2 a2))) (.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))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 a2 a2) a1)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (.f64 a2 a2) a1) a1)) (.f64 a2 a2))) (.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))) (/.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)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 a2 a2) (neg.f64 a1)))))
#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))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) a1)) (/.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a1))))
#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)) #s(literal 1 binary64)) (.f64 (*.f64 a2 a2) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.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)) a2) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (fma.f64 (/.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a2) a1 (.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a1)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (cos th) (+ (* a2 a2) (* a1 a1))) (.f64 (.f64 (cos.f64 th) a2) a2))) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)))) #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))) a2) (cos.f64 th)))
#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 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th))) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))) #s(literal 1/2 binary64))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))

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

Calls

8 calls:

32.0ms	th
25.0ms	a2
21.0ms	(*.f64 a2 a2)
20.0ms	a1
19.0ms	(cos.f64 th)

Results

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

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes156.0ms (1.8%)

Memory

-3.8MiB live, 310.4MiB 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 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* (cos th) a2) a2) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (cos th) (+ (* a2 a2) (* a1 a1))) (fma.f64 a2 a2 (*.f64 a1 a1)))) #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))))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ 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)))))
#s(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 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 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a2 a2) a1)) #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) 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 (* (* (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))) #s(approx (/ (* (* (cos th) a2) a2) (sqrt 2)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) a2 a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* (cos th) a2) a2) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))) #s(literal 1/2 binary64))
(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (.f64 (fma.f64 (*.f64 th th) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 a2 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (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)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 #s(literal 2 binary64) (.f64 (.f64 a2 a2) 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 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (.f64 (.f64 a2 a2) (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))) (.f64 (.f64 #s(approx (cos th) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
#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))) (/.f64 (fma.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) a1)))
(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (fma.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/24 binary64) (.f64 th th) #s(literal -1/2 binary64)))) (.f64 th th) (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 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (.f64 (fma.f64 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a2 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) (sqrt.f64 #s(literal 2 binary64))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 a2 a2) a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64)) th) th #s(literal 1 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 a2 a2) (neg.f64 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))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) 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))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 #s(approx (+ (/ (sqrt 2) a1) ( (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (/.f64 a2 a1) a2 a1)) (.f64 a2 a2))) (.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))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 a2 a2) a1)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (.f64 a2 a2) a1) a1)) (.f64 a2 a2))) (.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))) (/.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)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 a2 a2) (neg.f64 a1)))))
#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))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) a1)) (/.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a1))))
#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)) #s(literal 1 binary64)) (.f64 (*.f64 a2 a2) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.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)) a2) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (fma.f64 (/.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a2) a1 (.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a1)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (cos th) (+ (* a2 a2) (* a1 a1))) (.f64 (.f64 (cos.f64 th) a2) a2))) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)))) #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))) a2) (cos.f64 th)))
#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 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th))) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))) #s(literal 1/2 binary64))

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

Calls

8 calls:

21.0ms	(*.f64 a1 a1)
21.0ms	th
19.0ms	a2
19.0ms	a1
19.0ms	(cos.f64 th)

Results

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

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes149.0ms (1.7%)

Memory

4.8MiB live, 246.1MiB allocated

Counts

66 → 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 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* (cos th) a2) a2) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (cos th) (+ (* a2 a2) (* a1 a1))) (fma.f64 a2 a2 (*.f64 a1 a1)))) #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))))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ 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)))))
#s(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 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 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a2 a2) a1)) #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) 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 (* (* (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))) #s(approx (/ (* (* (cos th) a2) a2) (sqrt 2)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) a2 a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* (cos th) a2) a2) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))) #s(literal 1/2 binary64))
(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (.f64 (fma.f64 (*.f64 th th) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 a2 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (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)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 #s(literal 2 binary64) (.f64 (.f64 a2 a2) 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 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (.f64 (.f64 a2 a2) (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))) (.f64 (.f64 #s(approx (cos th) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
#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))) (/.f64 (fma.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) a1)))
(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (fma.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/24 binary64) (.f64 th th) #s(literal -1/2 binary64)))) (.f64 th th) (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 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (.f64 (fma.f64 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a2 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) (sqrt.f64 #s(literal 2 binary64))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 a2 a2) a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64)) th) th #s(literal 1 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 a2 a2) (neg.f64 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))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) 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))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 #s(approx (+ (/ (sqrt 2) a1) ( (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (/.f64 a2 a1) a2 a1)) (.f64 a2 a2))) (.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))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 a2 a2) a1)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (.f64 a2 a2) a1) a1)) (.f64 a2 a2))) (.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))) (/.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)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 a2 a2) (neg.f64 a1)))))
#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))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) a1)) (/.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a1))))
#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)) #s(literal 1 binary64)) (.f64 (*.f64 a2 a2) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.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)) a2) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (fma.f64 (/.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a2) a1 (.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a1)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (cos th) (+ (* a2 a2) (* a1 a1))) (.f64 (.f64 (cos.f64 th) a2) a2))) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)))) #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))) a2) (cos.f64 th)))
#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 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th))) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))

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

Calls

8 calls:

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

Results

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

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes190.0ms (2.2%)

Memory

-24.9MiB live, 297.5MiB allocated

Counts

64 → 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 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* (cos th) a2) a2) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (cos th) (+ (* a2 a2) (* a1 a1))) (fma.f64 a2 a2 (*.f64 a1 a1)))) #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))))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ 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)))))
#s(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 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 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a2 a2) a1)) #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) 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 (* (* (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))) #s(approx (/ (* (* (cos th) a2) a2) (sqrt 2)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) a2 a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* (cos th) a2) a2) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))) #s(literal 1/2 binary64))
(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (.f64 (fma.f64 (*.f64 th th) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 a2 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (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)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 #s(literal 2 binary64) (.f64 (.f64 a2 a2) 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 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (.f64 (.f64 a2 a2) (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))) (.f64 (.f64 #s(approx (cos th) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
#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))) (/.f64 (fma.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) a1)))
(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (fma.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/24 binary64) (.f64 th th) #s(literal -1/2 binary64)))) (.f64 th th) (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 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (.f64 (fma.f64 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a2 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) (sqrt.f64 #s(literal 2 binary64))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 a2 a2) a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64)) th) th #s(literal 1 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 a2 a2) (neg.f64 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))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) 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))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 #s(approx (+ (/ (sqrt 2) a1) ( (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (/.f64 a2 a1) a2 a1)) (.f64 a2 a2))) (.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))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 a2 a2) a1)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (.f64 a2 a2) a1) a1)) (.f64 a2 a2))) (.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))) (/.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)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 a2 a2) (neg.f64 a1)))))
#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))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) a1)) (/.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a1))))
#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)) #s(literal 1 binary64)) (.f64 (*.f64 a2 a2) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.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)) a2) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (fma.f64 (/.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a2) a1 (.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a1)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (cos th) (+ (* a2 a2) (* a1 a1))) (.f64 (.f64 (cos.f64 th) a2) a2))) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)))) #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))) a2) (cos.f64 th)))
#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))

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

Calls

8 calls:

41.0ms	(cos.f64 th)
40.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
19.0ms	a2
19.0ms	a1
18.0ms	(*.f64 a2 a2)

Results

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

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes155.0ms (1.8%)

Memory

7.0MiB live, 204.1MiB 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 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* (cos th) a2) a2) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (cos th) (+ (* a2 a2) (* a1 a1))) (fma.f64 a2 a2 (*.f64 a1 a1)))) #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))))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ 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)))))
#s(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 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 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a2 a2) a1)) #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) 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 (* (* (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))) #s(approx (/ (* (* (cos th) a2) a2) (sqrt 2)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) a2 a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* (cos th) a2) a2) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))) #s(literal 1/2 binary64))
(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (.f64 (fma.f64 (*.f64 th th) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 a2 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (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)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 #s(literal 2 binary64) (.f64 (.f64 a2 a2) 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 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (.f64 (.f64 a2 a2) (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))) (.f64 (.f64 #s(approx (cos th) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
#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))) (/.f64 (fma.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) a1)))
(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (fma.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/24 binary64) (.f64 th th) #s(literal -1/2 binary64)))) (.f64 th th) (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 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (.f64 (fma.f64 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a2 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) (sqrt.f64 #s(literal 2 binary64))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 a2 a2) a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64)) th) th #s(literal 1 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 a2 a2) (neg.f64 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))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) 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))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 #s(approx (+ (/ (sqrt 2) a1) ( (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (/.f64 a2 a1) a2 a1)) (.f64 a2 a2))) (.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))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 a2 a2) a1)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (.f64 a2 a2) a1) a1)) (.f64 a2 a2))) (.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))) (/.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)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 a2 a2) (neg.f64 a1)))))
#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))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) a1)) (/.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a1))))
#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)) #s(literal 1 binary64)) (.f64 (*.f64 a2 a2) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.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)) a2) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (fma.f64 (/.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a2) a1 (.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a1)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (cos th) (+ (* a2 a2) (* a1 a1))) (.f64 (.f64 (cos.f64 th) a2) a2))) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)))) #s(literal 1/2 binary64))

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

Calls

8 calls:

39.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
19.0ms	a1
18.0ms	a2
17.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
15.0ms	th

Results

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

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes134.0ms (1.6%)

Memory

17.9MiB live, 207.2MiB allocated

Counts

60 → 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 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* (cos th) a2) a2) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (cos th) (+ (* a2 a2) (* a1 a1))) (fma.f64 a2 a2 (*.f64 a1 a1)))) #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))))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ 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)))))
#s(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 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 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a2 a2) a1)) #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) 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 (* (* (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))) #s(approx (/ (* (* (cos th) a2) a2) (sqrt 2)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) a2 a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* (cos th) a2) a2) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))) #s(literal 1/2 binary64))
(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (.f64 (fma.f64 (*.f64 th th) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 a2 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (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)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 #s(literal 2 binary64) (.f64 (.f64 a2 a2) 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 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (.f64 (.f64 a2 a2) (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))) (.f64 (.f64 #s(approx (cos th) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
#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))) (/.f64 (fma.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) a1)))
(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (fma.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/24 binary64) (.f64 th th) #s(literal -1/2 binary64)))) (.f64 th th) (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 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (.f64 (fma.f64 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a2 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) (sqrt.f64 #s(literal 2 binary64))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 a2 a2) a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64)) th) th #s(literal 1 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 a2 a2) (neg.f64 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))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) 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))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 #s(approx (+ (/ (sqrt 2) a1) ( (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (/.f64 a2 a1) a2 a1)) (.f64 a2 a2))) (.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))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 a2 a2) a1)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (.f64 a2 a2) a1) a1)) (.f64 a2 a2))) (.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))) (/.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)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 a2 a2) (neg.f64 a1)))))
#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))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) a1)) (/.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a1))))
#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)) #s(literal 1 binary64)) (.f64 (*.f64 a2 a2) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.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)) a2) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (fma.f64 (/.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a2) a1 (.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a1)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (cos th) (+ (* a2 a2) (* a1 a1))) (.f64 (.f64 (cos.f64 th) a2) a2))) #s(literal 1/2 binary64))

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

Calls

8 calls:

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)))
18.0ms	th
18.0ms	a1
17.0ms	(cos.f64 th)
17.0ms	(*.f64 a2 a2)

Results

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

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes206.0ms (2.4%)

Memory

-7.6MiB live, 242.6MiB allocated

Counts

58 → 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 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* (cos th) a2) a2) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (cos th) (+ (* a2 a2) (* a1 a1))) (fma.f64 a2 a2 (*.f64 a1 a1)))) #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))))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ 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)))))
#s(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 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 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a2 a2) a1)) #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) 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 (* (* (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))) #s(approx (/ (* (* (cos th) a2) a2) (sqrt 2)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) a2 a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* (cos th) a2) a2) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))) #s(literal 1/2 binary64))
(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (.f64 (fma.f64 (*.f64 th th) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 a2 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (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)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 #s(literal 2 binary64) (.f64 (.f64 a2 a2) 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 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (.f64 (.f64 a2 a2) (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))) (.f64 (.f64 #s(approx (cos th) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
#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))) (/.f64 (fma.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) a1)))
(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (fma.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/24 binary64) (.f64 th th) #s(literal -1/2 binary64)))) (.f64 th th) (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 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (.f64 (fma.f64 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a2 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) (sqrt.f64 #s(literal 2 binary64))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 a2 a2) a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64)) th) th #s(literal 1 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 a2 a2) (neg.f64 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))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) 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))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 #s(approx (+ (/ (sqrt 2) a1) ( (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (/.f64 a2 a1) a2 a1)) (.f64 a2 a2))) (.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))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 a2 a2) a1)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (.f64 a2 a2) a1) a1)) (.f64 a2 a2))) (.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))) (/.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)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 a2 a2) (neg.f64 a1)))))
#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))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) a1)) (/.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a1))))
#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)) #s(literal 1 binary64)) (.f64 (*.f64 a2 a2) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.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)) a2) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (fma.f64 (/.f64 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a2) a1 (.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a1)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) 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)))))))

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

Calls

8 calls:

83.0ms	a2
30.0ms	(cos.f64 th)
16.0ms	(*.f64 a2 a2)
16.0ms	a1
16.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
66.7%	1	`a1`
66.7%	1	`a2`
66.7%	1	`th`
75.7%	2	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
74.5%	2	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
74.5%	2	`(cos.f64 th)`
66.7%	1	`(*.f64 a1 a1)`
66.7%	1	`(*.f64 a2 a2)`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes25.0ms (0.3%)

Memory

15.0MiB live, 54.2MiB 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 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* (cos th) a2) a2) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (cos th) (+ (* a2 a2) (* a1 a1))) (fma.f64 a2 a2 (*.f64 a1 a1)))) #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))))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ 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)))))
#s(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 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 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a2 a2) a1)) #s(approx (+ (/ (sqrt 2) a1) (* (/ (sqrt 2) (* a2 a2)) a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))

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

Calls

5 calls:

5.0ms	(cos.f64 th)
5.0ms	a2
5.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
5.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
4.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
66.7%	1	`a2`
66.7%	1	`(*.f64 a2 a2)`
66.7%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
66.7%	1	`(cos.f64 th)`
66.7%	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)))`

Compiler

Compiled 30 to 30 computations (0% saved)

regimes27.0ms (0.3%)

Memory

-17.3MiB live, 61.2MiB allocated

Counts

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

Calls

8 calls:

4.0ms	(cos.f64 th)
4.0ms	(*.f64 a2 a2)
3.0ms	a1
3.0ms	th
3.0ms	a2

Results

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

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes19.0ms (0.2%)

Memory

-11.0MiB live, 29.8MiB allocated

Counts

5 → 1

Calls

Call 1

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

4.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
2.0ms	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)))

Results

Accuracy	Segments	Branch
66.5%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
66.5%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
66.5%	1	`(cos.f64 th)`
66.5%	1	`a1`
66.5%	1	`(*.f64 a1 a1)`
66.5%	1	`th`
66.5%	1	`a2`
66.5%	1	`(*.f64 a2 a2)`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes13.0ms (0.2%)

Memory

24.7MiB live, 24.7MiB 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	a2
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)))
2.0ms	th
2.0ms	a1

Results

Accuracy	Segments	Branch
66.5%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
66.5%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
66.5%	1	`(cos.f64 th)`
66.5%	1	`a1`
66.5%	1	`(*.f64 a1 a1)`
66.5%	1	`th`
66.5%	1	`a2`
66.5%	1	`(*.f64 a2 a2)`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes10.0ms (0.1%)

Memory

-15.6MiB live, 23.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ 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:

2.0ms	(*.f64 a1 a1)
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	th
1.0ms	a2

Results

Accuracy	Segments	Branch
16.3%	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)))`
16.3%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
16.3%	1	`(cos.f64 th)`
16.3%	1	`a1`
16.3%	1	`(*.f64 a1 a1)`
16.3%	1	`th`
16.3%	1	`a2`
16.3%	1	`(*.f64 a2 a2)`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0324148705888774e-153	-9.70601183836693e-189

Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify17.0ms (0.2%)

Memory

-15.3MiB live, 23.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	86	356
1	128	350
2	184	344
3	227	344
4	238	344
5	239	344

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.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)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (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 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))) #s(literal 1/2 binary64))
(if (<=.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #s(literal -7547924849643083/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 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))))))) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(approx (+ ( (* a2 (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 (*.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 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (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 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)))) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( (* a2 (cos th)) (* a2 (sqrt 2))) (* (* a1 (cos th)) (* a1 (sqrt 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))) #s(literal 1/2 binary64))
(if (<=.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #s(literal -7547924849643083/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 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))))))) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(approx (+ ( (* a2 (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 (*.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))))))

soundness1.7s (19.6%)

Memory

-107.8MiB live, 858.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	224
0	61	208
1	203	196
2	1416	196
0	8214	196
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	55	420
0	89	399
1	322	387
2	2509	371
0	8658	366
0	371	2208
1	1268	2119
2	4979	1990
0	8069	1845
0	311	1846
1	1030	1709
2	3805	1557
0	8503	1439

Stop Event

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

Compiler

Compiled 815 to 385 computations (52.8% saved)

preprocess109.0ms (1.3%)

Memory

3.3MiB live, 159.6MiB allocated

Remove

(sort a1 a2)

(abs a1)

(abs a2)

(abs th)

Compiler

Compiled 918 to 278 computations (69.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (14.4%)

explain181.0ms (2.1%)

preprocess162.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0%)

localize60.0ms (0.7%)

series23.0ms (0.3%)

simplify298.0ms (3.5%)

rewrite305.0ms (3.5%)

eval102.0ms (1.2%)

prune14.0ms (0.2%)

simplify46.0ms (0.5%)

localize102.0ms (1.2%)

series55.0ms (0.6%)

simplify197.0ms (2.3%)

rewrite290.0ms (3.4%)

eval241.0ms (2.8%)

prune83.0ms (1%)

simplify183.0ms (2.1%)

localize147.0ms (1.7%)

series53.0ms (0.6%)

simplify186.0ms (2.2%)

rewrite193.0ms (2.2%)

eval148.0ms (1.7%)

prune49.0ms (0.6%)

simplify168.0ms (1.9%)

localize122.0ms (1.4%)

series34.0ms (0.4%)

simplify185.0ms (2.1%)

rewrite235.0ms (2.7%)

eval134.0ms (1.6%)

prune97.0ms (1.1%)

regimes209.0ms (2.4%)

regimes173.0ms (2%)

regimes156.0ms (1.8%)

regimes149.0ms (1.7%)

regimes190.0ms (2.2%)

regimes155.0ms (1.8%)

regimes134.0ms (1.6%)

regimes206.0ms (2.4%)

regimes25.0ms (0.3%)

regimes27.0ms (0.3%)

regimes19.0ms (0.2%)

regimes13.0ms (0.2%)

regimes10.0ms (0.1%)

bsearch1.0ms (0%)

simplify17.0ms (0.2%)

soundness1.7s (19.6%)

preprocess109.0ms (1.3%)

end0.0ms (0%)

Profiling