Metrics for Migdal et al, Equation (64)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

sample1.3s (23.3%)

Memory

-24.3MiB live, 1 609.2MiB allocated; 408ms collecting garbage

Samples

923.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 693.0ms

ival-mult: 321.0ms (46.3% of total)

ival-cos: 210.0ms (30.3% of total)

ival-div: 56.0ms (8.1% of total)

ival-sqrt: 56.0ms (8.1% of total)

ival-add: 38.0ms (5.5% of total)

exact: 7.0ms (1% of total)

ival-assert: 3.0ms (0.4% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

explain139.0ms (2.5%)

Memory

6.1MiB live, 297.7MiB allocated; 14ms collecting garbage

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

55.0ms

512×

valid

Compiler

Compiled 135 to 40 computations (70.4% saved)

Precisions

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

ival-mult: 14.0ms (38.4% of total)

ival-cos: 12.0ms (32.9% of total)

ival-sqrt: 4.0ms (11% of total)

ival-div: 3.0ms (8.2% of total)

ival-add: 2.0ms (5.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess204.0ms (3.6%)

Memory

25.0MiB live, 166.1MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	133
1	163	133
2	595	133
3	1542	133
4	3030	133
5	4451	133
6	7243	133
0	12	19
0	20	13
1	52	13
2	174	13
3	551	13
4	1112	13
5	1706	13
6	3090	13
7	7183	13
0	8100	12

Stop Event

1×	iter limit
1×	node limit
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 a1)

(abs a2)

(abs th)

(sort a1 a2)

Compiler

Compiled 19 to 12 computations (36.8% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

series35.0ms (0.6%)

Memory

-25.0MiB live, 20.0MiB allocated; 6ms collecting garbage

Counts

12 → 34

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

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	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) th (sqrt 2) 2 (* a1 a1) a1 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* a2 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) th (sqrt 2) 2 (* a1 a1) a1 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* a2 a2) a2)
3.0ms	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) th (sqrt 2) 2 (* a1 a1) a1 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* a2 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) th (sqrt 2) 2 (* a1 a1) a1 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* a2 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) th (sqrt 2) 2 (* a1 a1) a1 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* a2 a2) a2)

rewrite223.0ms (4%)

Memory

36.1MiB live, 213.6MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	1016
0	172	890
1	999	852
0	8444	800

Stop Event

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

Counts

46 → 152

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

Outputs
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.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 (pow.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (.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 (fma.f64 (.f64 (neg.f64 a2) a2) (cos.f64 th) (.f64 (*.f64 (neg.f64 a1) a1) (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 (cos.f64 th) a2) a2 (.f64 (*.f64 (cos.f64 th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (neg.f64 a1) a1) (cos.f64 th) (.f64 (*.f64 (neg.f64 a2) a2) (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (*.f64 (cos.f64 th) a2) a2)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)))) #s(literal -2 binary64))
(/.f64 (fma.f64 (.f64 (.f64 (neg.f64 a2) a2) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (neg.f64 a1) a1) (cos.f64 th)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (.f64 (neg.f64 a2) a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 th) a1) a1))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 a1) a1) (cos.f64 th)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 (neg.f64 a1) a1) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (neg.f64 a2) a2) (cos.f64 th)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (.f64 (neg.f64 a1) a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 th) a2) a2))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 a2) a2) (cos.f64 th)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (*.f64 (cos.f64 th) a2) a2)) #s(literal 2 binary64)))))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))) #s(literal 2 binary64))
(fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 a1)) (neg.f64 a1) (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fabs.f64 a1)) (fabs.f64 a1) (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 a2)) (neg.f64 a2) (.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fabs.f64 a2)) (fabs.f64 a2) (.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2 (.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1 (.f64 (*.f64 a2 a2) (/.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 (.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 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1) (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2) (.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 (pow.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(-.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1)) a1))
(-.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 a1) a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)))
(-.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2)) a2))
(-.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 a2) a2) (/.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 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (cos.f64 th) a2) a2)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (cos.f64 th) a2) a2)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) #s(literal 2 binary64)))
(+.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))) (neg.f64 a1)) (neg.f64 a1))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fabs.f64 a1)) (fabs.f64 a1))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
(.f64 (.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 (neg.f64 (.f64 (.f64 (neg.f64 a1) a1) (cos.f64 th))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (neg.f64 a1) a1) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 (.f64 (.f64 (neg.f64 a1) a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (cos.f64 th))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (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))))
(fma.f64 (sin.f64 th) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 th) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 th) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 th (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 th)))
(cos.f64 (neg.f64 th))
(cos.f64 th)
(+.f64 (.f64 (sin.f64 th) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 th) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
th
(*.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 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(*.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a1)))
(*.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)))
(*.f64 (fabs.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a1)))
(*.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)))
(*.f64 (neg.f64 a1) (neg.f64 a1))
(*.f64 (fabs.f64 a1) (fabs.f64 a1))
(*.f64 a1 a1)
(pow.f64 (exp.f64 (log.f64 a1)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a1) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a1) #s(literal 2 binary64))
(pow.f64 (*.f64 a1 a1) #s(literal 1 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 a1) a1))
(fabs.f64 (*.f64 a1 a1))
(exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 a1) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 a1) #s(literal 2 binary64))))
a1
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 a2)) (neg.f64 a2))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fabs.f64 a2)) (fabs.f64 a2))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2)
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 a2) a2) (cos.f64 th))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (neg.f64 a2) a2) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 (.f64 (.f64 (neg.f64 a2) a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a2)))
(*.f64 (neg.f64 (fabs.f64 a2)) (neg.f64 (fabs.f64 a2)))
(*.f64 (fabs.f64 (fabs.f64 a2)) (fabs.f64 (fabs.f64 a2)))
(*.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2)))
(*.f64 (neg.f64 a2) (neg.f64 a2))
(*.f64 (fabs.f64 a2) (fabs.f64 a2))
(*.f64 a2 a2)
(pow.f64 (exp.f64 (log.f64 a2)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a2) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a2) #s(literal 2 binary64))
(pow.f64 (*.f64 a2 a2) #s(literal 1 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 a2) a2))
(fabs.f64 (*.f64 a2 a2))
(exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 a2) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 a2) #s(literal 2 binary64))))
a2
#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)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* a1 a1) (*.f64 a1 a1))
#s(approx a1 a1)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.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 (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)))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* a2 a2) (*.f64 a2 a2))
#s(approx a2 a2)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.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)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 th th)) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 th th) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 th th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 th a1) #s(literal 2 binary64)) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 (.f64 th a1) #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (pow.f64 (.f64 th a1) #s(literal 2 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (cos th) (sqrt 2)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (cos th) (sqrt 2)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
#s(approx (/ (cos th) (sqrt 2)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th) (.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (.f64 th th) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
#s(approx (cos th) #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 (fma.f64 #s(literal 1/24 binary64) (.f64 th th) #s(literal -1/2 binary64)) (.f64 th th) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx th th)
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 th a2) #s(literal 2 binary64)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 (.f64 th a2) #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (pow.f64 (.f64 th a2) #s(literal 2 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (cos th) (sqrt 2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (cos th) (cos.f64 th))

eval31.0ms (0.5%)

Memory: -20.5MiB live, 46.7MiB allocated; 16ms collecting garbage
Compiler: Compiled 4 786 to 594 computations (87.6% saved)

prune36.0ms (0.6%)

Memory

-12.2MiB live, 33.2MiB allocated; 4ms collecting garbage

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	175	12	187
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	176	12	188

Accuracy

100.0%

Counts

188 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(/.f64 (fma.f64 (.f64 (.f64 (neg.f64 a2) a2) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (neg.f64 a1) a1) (cos.f64 th)))) #s(literal 2 binary64))
	99.6%	(/.f64 (fma.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))) #s(literal 2 binary64))
▶	99.7%	(/.f64 (fma.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) #s(literal 2 binary64))
▶	99.6%	(/.f64 (fma.f64 (.f64 (cos.f64 th) a2) a2 (.f64 (*.f64 (cos.f64 th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)))
▶	99.6%	(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	99.5%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (.f64 a2 a2)))
	69.1%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (.f64 a2 a2)))
▶	33.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
	33.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
▶	69.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
	52.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
	98.7%	#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)))))

Compiler

Compiled 670 to 412 computations (38.5% saved)

series107.0ms (1.9%)

Memory

6.6MiB live, 97.7MiB allocated; 8ms collecting garbage

Counts

32 → 147

Calls

Call 1

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

Outputs
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(hole binary64 (* (pow a2 2) (* (cos th) (sqrt 2)))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (* (pow a1 2) (cos th))))
#s(approx (* (cos th) a1) #s(hole binary64 (* a1 (cos th))))
#s(approx a1 #s(hole binary64 a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole 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)))))
#s(approx (+ (* (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* (pow a1 2) (+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (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))))))
#s(approx (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) #s(hole binary64 (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))))
#s(approx (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) #s(hole binary64 (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (+ (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* (pow a1 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))))))
#s(approx (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* -1/2 (/ (pow a2 2) (sqrt 2)))))
#s(approx (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (cos th))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (* (pow a2 2) (cos th))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(hole binary64 (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (+ (* (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a1 2) (+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2))))))
#s(approx (+ (* (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a1 2) (+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (pow a1 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))))
#s(approx (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) #s(hole binary64 (* (pow a1 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))))
#s(approx (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) #s(hole binary64 (* (pow a1 2) (- (+ (* -1/2 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (+ (* 1/24 (/ (* (pow a2 2) (pow th 2)) (* (pow a1 2) (sqrt 2)))) (* 1/24 (/ (pow th 2) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2)))))))
#s(approx (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* -1/2 (/ (pow a1 2) (sqrt 2)))))
#s(approx (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a1 2) (- (* -1/2 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (* 1/2 (/ 1 (sqrt 2)))))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (cos th))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (* (pow a1 2) (cos th))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))))
#s(approx (* (* (* (sqrt 2) a2) a2) (cos th)) #s(hole binary64 (* (pow a2 2) (* (cos th) (sqrt 2)))))
#s(approx (* (* (sqrt 2) a2) a2) #s(hole binary64 (* (pow a2 2) (sqrt 2))))
#s(approx (* (sqrt 2) a2) #s(hole binary64 (* a2 (sqrt 2))))
#s(approx a2 #s(hole binary64 a2))
#s(approx (+ (* (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (+ (* (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* (pow a2 2) (+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (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))))))
#s(approx (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) #s(hole binary64 (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))))
#s(approx (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) #s(hole binary64 (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (* (pow a2 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))))))
#s(approx (* a2 a2) #s(hole binary64 (pow a2 2)))
#s(approx (* (cos th) a2) #s(hole binary64 (* a2 (cos th))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(hole binary64 (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (+ (* (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a2 2) (+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2))))))
#s(approx (+ (* (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a2 2) (+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))) (pow a2 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))))
#s(approx (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) #s(hole binary64 (* (pow a2 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))))
#s(approx (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) #s(hole binary64 (* (pow a2 2) (- (+ (* -1/2 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (+ (* 1/24 (/ (* (pow a1 2) (pow th 2)) (* (pow a2 2) (sqrt 2)))) (* 1/24 (/ (pow th 2) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2)))))))
#s(approx (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a2 2) (- (* -1/2 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (* 1/2 (/ 1 (sqrt 2)))))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (+ (* 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)))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole 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))))))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole 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))))))))))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(hole 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)))))))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(hole 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))))))))))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) #s(hole 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)))))))))))))))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (pow a1 2)))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (+ (* -1/2 (* (pow a1 2) (pow th 2))) (pow a1 2))))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* 1/24 (* (pow a1 2) (pow th 2))))) (pow a1 2))))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* 1/24 (pow a1 2)))))) (pow a1 2))))
#s(approx (* (cos th) a1) #s(hole binary64 a1))
#s(approx (* (cos th) a1) #s(hole binary64 (+ a1 (* -1/2 (* a1 (pow th 2))))))
#s(approx (* (cos th) a1) #s(hole binary64 (+ a1 (* (pow th 2) (+ (* -1/2 a1) (* 1/24 (* a1 (pow th 2))))))))
#s(approx (* (cos th) a1) #s(hole binary64 (+ a1 (* (pow th 2) (+ (* -1/2 a1) (* (pow th 2) (+ (* -1/720 (* a1 (pow th 2))) (* 1/24 a1))))))))
#s(approx (cos th) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (* (* (* (sqrt 2) a2) a2) (cos th)) #s(hole binary64 (* (pow a2 2) (sqrt 2))))
#s(approx (* (* (* (sqrt 2) a2) a2) (cos th)) #s(hole binary64 (+ (* -1/2 (* (pow a2 2) (* (pow th 2) (sqrt 2)))) (* (pow a2 2) (sqrt 2)))))
#s(approx (* (* (* (sqrt 2) a2) a2) (cos th)) #s(hole binary64 (+ (* (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)))))))))
#s(approx (* (* (* (sqrt 2) a2) a2) (cos th)) #s(hole binary64 (+ (* (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))))))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole 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))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole 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))))))
#s(approx (+ (* (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* (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))))))
#s(approx (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) #s(hole binary64 (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)))))
#s(approx (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) #s(hole binary64 (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))))
#s(approx (* 1/24 (* th th)) #s(hole binary64 (* 1/24 (pow th 2))))
#s(approx (* th th) #s(hole binary64 (pow th 2)))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(hole binary64 (+ (* (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))))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(hole binary64 (+ (* (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))))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (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)))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (+ (pow a1 2) (pow a2 2))))))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole 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))))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole 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))))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* 1/24 (pow a1 2)) (* 1/24 (pow a2 2))))))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* 1/24 (pow a1 2)) (+ (* 1/24 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (pow a1 2)) (* -1/720 (pow a2 2)))))))))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (cos th) a2) #s(hole binary64 a2))
#s(approx (* (cos th) a2) #s(hole binary64 (+ a2 (* -1/2 (* a2 (pow th 2))))))
#s(approx (* (cos th) a2) #s(hole binary64 (+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))))))
#s(approx (* (cos th) a2) #s(hole binary64 (+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2))))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (+ (* (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* 1/24 (/ (* (pow th 4) (+ (pow a1 2) (pow a2 2))) (sqrt 2)))))
#s(approx (+ (* (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow th 4) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2)))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)))))))
#s(approx (+ (* (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow th 4) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2)))) (+ (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (+ (/ (pow a1 2) (* (pow th 4) (sqrt 2))) (/ (pow a2 2) (* (pow th 4) (sqrt 2)))))))))
#s(approx (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) #s(hole binary64 (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2)))))
#s(approx (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) #s(hole binary64 (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2)))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)))))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(hole binary64 (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (cos th) (+ (pow a1 2) (pow a2 2)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(hole binary64 (/ (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th))) (sqrt 2))))

Calls

9 calls:

Time	Variable		Point	Expression
55.0ms	th	@	0	((/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (* (* (cos th) a1) a1) (* (cos th) a1) (cos th) th a1 (sqrt 2) 2 (* (* (* (sqrt 2) a2) a2) (cos th)) (* (* (sqrt 2) a2) a2) (* (sqrt 2) a2) a2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* 1/24 (* th th)) 1/24 (* th th) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) -1/2 (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)) (* a2 a2) (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (* (cos th) a2))
8.0ms	a1	@	inf	((/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (* (* (cos th) a1) a1) (* (cos th) a1) (cos th) th a1 (sqrt 2) 2 (* (* (* (sqrt 2) a2) a2) (cos th)) (* (* (sqrt 2) a2) a2) (* (sqrt 2) a2) a2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* 1/24 (* th th)) 1/24 (* th th) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) -1/2 (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)) (* a2 a2) (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (* (cos th) a2))
7.0ms	a1	@	-inf	((/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (* (* (cos th) a1) a1) (* (cos th) a1) (cos th) th a1 (sqrt 2) 2 (* (* (* (sqrt 2) a2) a2) (cos th)) (* (* (sqrt 2) a2) a2) (* (sqrt 2) a2) a2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* 1/24 (* th th)) 1/24 (* th th) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) -1/2 (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)) (* a2 a2) (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (* (cos th) a2))
6.0ms	a2	@	inf	((/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (* (* (cos th) a1) a1) (* (cos th) a1) (cos th) th a1 (sqrt 2) 2 (* (* (* (sqrt 2) a2) a2) (cos th)) (* (* (sqrt 2) a2) a2) (* (sqrt 2) a2) a2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* 1/24 (* th th)) 1/24 (* th th) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) -1/2 (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)) (* a2 a2) (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (* (cos th) a2))
6.0ms	th	@	inf	((/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (* (* (cos th) a1) a1) (* (cos th) a1) (cos th) th a1 (sqrt 2) 2 (* (* (* (sqrt 2) a2) a2) (cos th)) (* (* (sqrt 2) a2) a2) (* (sqrt 2) a2) a2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* 1/24 (* th th)) 1/24 (* th th) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) -1/2 (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)) (* a2 a2) (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (* (cos th) a2))

rewrite233.0ms (4.1%)

Memory

26.0MiB live, 262.2MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	544	5909
0	604	5038
1	3454	5000
0	8737	4853

Stop Event

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

Counts

179 → 449

Calls

Call 1

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

Outputs
(/.f64 (fma.f64 (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)))) #s(literal -2 binary64))
(/.f64 (fma.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) #s(literal 2 binary64))
(+.f64 (/.f64 (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))))
(/.f64 (fma.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))))))
(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th) (.f64 (.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 a1 a1) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (.f64 (cos.f64 th) a2) (.f64 (.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)))
(fma.f64 (.f64 (cos.f64 th) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)))
(fma.f64 (cos.f64 th) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (.f64 (.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(-.f64 (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (cos.f64 th)))
(+.f64 (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)))
(+.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th)) (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 (.f64 (cos.f64 th) a1) a1)
(.f64 (cos.f64 th) (.f64 a1 a1))
(.f64 a1 (.f64 (cos.f64 th) a1))
(*.f64 (cos.f64 th) a1)
(*.f64 a1 (cos.f64 th))
(fma.f64 (sin.f64 th) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 th) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 th) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 th (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 th)))
(cos.f64 (neg.f64 th))
(cos.f64 th)
(+.f64 (.f64 (sin.f64 th) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 th) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
th
a1
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (cos.f64 th) a2))
(.f64 (cos.f64 th) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))
(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))
(.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)
(*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
a2
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (neg.f64 (.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 a2 a2)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 a2 a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 a1 a1)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 a2 a2 (*.f64 a1 a1))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) #s(literal 2 binary64))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a1)) (*.f64 a2 a2))
(fma.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)) (*.f64 a2 a2))
(fma.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a2)) (*.f64 a1 a1))
(fma.f64 (neg.f64 (fabs.f64 a2)) (neg.f64 (fabs.f64 a2)) (*.f64 a1 a1))
(fma.f64 (fabs.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a1)) (*.f64 a2 a2))
(fma.f64 (fabs.f64 (fabs.f64 a2)) (fabs.f64 (fabs.f64 a2)) (*.f64 a1 a1))
(fma.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2)) (*.f64 a1 a1))
(fma.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)) (*.f64 a2 a2))
(fma.f64 (neg.f64 a2) (neg.f64 a2) (*.f64 a1 a1))
(fma.f64 (neg.f64 a1) (neg.f64 a1) (*.f64 a2 a2))
(fma.f64 (fabs.f64 a2) (fabs.f64 a2) (*.f64 a1 a1))
(fma.f64 (fabs.f64 a1) (fabs.f64 a1) (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 a1 a1 (*.f64 a2 a2))
(-.f64 (.f64 a1 a1) (.f64 (neg.f64 a2) a2))
(-.f64 (.f64 a2 a2) (.f64 (neg.f64 a1) a1))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(*.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a1)))
(*.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)))
(*.f64 (fabs.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a1)))
(*.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)))
(*.f64 (neg.f64 a1) (neg.f64 a1))
(*.f64 (fabs.f64 a1) (fabs.f64 a1))
(*.f64 a1 a1)
(pow.f64 (exp.f64 (log.f64 a1)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a1) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a1) #s(literal 2 binary64))
(pow.f64 (*.f64 a1 a1) #s(literal 1 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(fabs.f64 (*.f64 a1 a1))
(exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 a1) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 a1) #s(literal 2 binary64))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (fma.f64 (.f64 th th) (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 th th) (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 th th) (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 th th) (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 th th) (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 th th) (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))))
(fma.f64 (.f64 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) th) th (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 th th) (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (fma.f64 (.f64 th th) (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 th th) (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 th th) (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
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(fma.f64 a2 (.f64 (cos.f64 th) a2) (.f64 (*.f64 (cos.f64 th) a1) a1))
(fma.f64 a1 (.f64 (cos.f64 th) a1) (.f64 (*.f64 (cos.f64 th) a2) a2))
(-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (neg.f64 (.f64 (cos.f64 th) a1)) a1))
(-.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (neg.f64 (.f64 a2 a2)) (cos.f64 th)))
(+.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 (cos.f64 th) a1) a1))
(+.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (cos.f64 th) a2) a2))
(*.f64 (cos.f64 th) a2)
(*.f64 a2 (cos.f64 th))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (.f64 a1 a1))) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (* (* (cos th) a1) a1) (.f64 (.f64 (cos.f64 th) a1) a1))
#s(approx (* (cos th) a1) (*.f64 (cos.f64 th) a1))
#s(approx a1 a1)
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2))
#s(approx (+ (* a1 a1) (* a2 a2)) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (* a1 a1) (*.f64 a1 a1))
#s(approx (+ (* (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (fma.f64 (fma.f64 (/.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (/.f64 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (.f64 a1 a1) (fma.f64 (fma.f64 (/.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (/.f64 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (fma.f64 (/.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (/.f64 (.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (fma.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1) (.f64 (/.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
#s(approx (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/.f64 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) a2))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)))
#s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2))
#s(approx (+ (* a1 a1) (* a2 a2)) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) a2))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (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)))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (.f64 (.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (.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)))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (.f64 (fma.f64 (/.f64 (.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 a1 a1)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (+.f64 (/.f64 (.f64 a2 a2) (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 a1 a1)))
#s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a1 a1))
#s(approx (+ (* a1 a1) (* a2 a2)) (.f64 (+.f64 (/.f64 (.f64 a2 a2) (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 a1 a1)))
#s(approx (+ (* (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 a1 a1)))
#s(approx (+ (* (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (fma.f64 (.f64 th th) (/.f64 (fma.f64 (/.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (/.f64 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1)) (/.f64 (.f64 a2 a2) (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 a1 a1)))
#s(approx (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (.f64 (/.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)))
#s(approx (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (.f64 (-.f64 (fma.f64 (/.f64 (.f64 a2 a2) (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 (/.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 th th) (sqrt.f64 #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3 binary64))) (*.f64 a1 a1)))
#s(approx (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/.f64 (.f64 (.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (.f64 (fma.f64 (/.f64 (.f64 a2 a2) (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (.f64 a1 a1)))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (.f64 (fma.f64 (/.f64 (.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 a1 a1)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a1) a1))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (fma.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (.f64 a1 a1)) (cos.f64 th)) (.f64 a1 a1)))
#s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a1 a1))
#s(approx (+ (* a1 a1) (* a2 a2)) (.f64 (+.f64 (/.f64 (.f64 a2 a2) (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 a1 a1)))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (.f64 (fma.f64 (/.f64 (.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 a1 a1)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a1) a1))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (fma.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (.f64 a1 a1)) (cos.f64 th)) (.f64 a1 a1)))
#s(approx (* (* (* (sqrt 2) a2) a2) (cos th)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)))
#s(approx (* (* (sqrt 2) a2) a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))
#s(approx (* (sqrt 2) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
#s(approx a2 a2)
#s(approx (+ (* (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (fma.f64 (fma.f64 (/.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (/.f64 (.f64 (.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (fma.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (.f64 a2 a2) (fma.f64 (fma.f64 (/.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (/.f64 (.f64 (.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (fma.f64 (/.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (/.f64 (.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (fma.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (.f64 (/.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))))
#s(approx (* a2 a2) (*.f64 a2 a2))
#s(approx (* (cos th) a2) (*.f64 (cos.f64 th) a2))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (.f64 a2 a2)))) (*.f64 a2 a2)))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (.f64 a2 a2))) (.f64 a2 a2)))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (.f64 (fma.f64 (/.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (+.f64 (/.f64 (.f64 a1 a1) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* a1 a1) (* a2 a2)) (.f64 (+.f64 (/.f64 (.f64 a1 a1) (.f64 a2 a2)) #s(literal 1 binary64)) (.f64 a2 a2)))
#s(approx (+ (* (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (fma.f64 (.f64 th th) (/.f64 (fma.f64 (/.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (/.f64 (.f64 (.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a2)) (/.f64 (.f64 a1 a1) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))) (*.f64 a2 a2)))
#s(approx (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (.f64 (/.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
#s(approx (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (.f64 (-.f64 (fma.f64 (/.f64 (.f64 a1 a1) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (/.f64 (.f64 th th) (sqrt.f64 #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3 binary64))) (.f64 a2 a2)))
#s(approx (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (.f64 (fma.f64 (/.f64 (.f64 a1 a1) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (.f64 a2 a2)))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (.f64 (fma.f64 (/.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a2)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (fma.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (.f64 a2 a2)) (cos.f64 th)) (.f64 a2 a2)))
#s(approx (+ (* a1 a1) (* a2 a2)) (.f64 (+.f64 (/.f64 (.f64 a1 a1) (.f64 a2 a2)) #s(literal 1 binary64)) (.f64 a2 a2)))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (.f64 (fma.f64 (/.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a2)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (fma.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (.f64 a2 a2)) (cos.f64 th)) (.f64 a2 a2)))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 th th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 th th) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))))) (.f64 th th) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 th th) (.f64 #s(literal 1/24 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))))) (.f64 th th) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))) #s(literal 1/2 binary64))) (.f64 th th) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 th th))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 th th))) (.f64 th th))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 th th))) (.f64 th th))) (.f64 th th))))
#s(approx (* (* (cos th) a1) a1) (*.f64 a1 a1))
#s(approx (* (* (cos th) a1) a1) (fma.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 a1 a1)))
#s(approx (* (* (cos th) a1) a1) (fma.f64 (fma.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) #s(literal 1/24 binary64) (.f64 (.f64 a1 a1) #s(literal -1/2 binary64))) (.f64 th th) (*.f64 a1 a1)))
#s(approx (* (* (cos th) a1) a1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (pow.f64 (.f64 th a1) #s(literal 2 binary64)) (.f64 (.f64 a1 a1) #s(literal 1/24 binary64))) (.f64 th th) (.f64 (.f64 a1 a1) #s(literal -1/2 binary64))) (.f64 th th) (.f64 a1 a1)))
#s(approx (* (cos th) a1) a1)
#s(approx (* (cos th) a1) (fma.f64 (.f64 (.f64 th th) a1) #s(literal -1/2 binary64) a1))
#s(approx (* (cos th) a1) (fma.f64 (fma.f64 (.f64 (.f64 th th) a1) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) a1)) (.f64 th th) a1))
#s(approx (* (cos th) a1) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) a1) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) a1)) (.f64 th th) (.f64 #s(literal -1/2 binary64) a1)) (.f64 th th) a1))
#s(approx (cos th) #s(literal 1 binary64))
#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th)) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64)))
#s(approx th th)
#s(approx (* (* (* (sqrt 2) a2) a2) (cos th)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))
#s(approx (* (* (* (sqrt 2) a2) a2) (cos th)) (fma.f64 (.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))
#s(approx (* (* (* (sqrt 2) a2) a2) (cos th)) (fma.f64 (fma.f64 (.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal -1/2 binary64))) (.f64 th th) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))
#s(approx (* (* (* (sqrt 2) a2) a2) (cos th)) (fma.f64 (fma.f64 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/720 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1/24 binary64))) (.f64 th th))) (.f64 th th) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (fma.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (fma.f64 (fma.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th))) (.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (fma.f64 (fma.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (.f64 (fma.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (.f64 (.f64 #s(literal -1/720 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th))) (.f64 th th))) (.f64 th th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (fma.f64 (.f64 (.f64 th th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (fma.f64 (.f64 th th) (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
#s(approx (* 1/24 (* th th)) (.f64 (.f64 th th) #s(literal 1/24 binary64)))
#s(approx (* th th) (*.f64 th th))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (fma.f64 (.f64 (.f64 th th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (fma.f64 (.f64 th th) (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/720 binary64) (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th) (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 (.f64 (.f64 th th) (fma.f64 a2 a2 (.f64 a1 a1))) #s(literal -1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 (fma.f64 (.f64 (.f64 th th) (fma.f64 a2 a2 (.f64 a1 a1))) #s(literal 1/24 binary64) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal -1/2 binary64))) (.f64 th th) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) (fma.f64 a2 a2 (.f64 a1 a1))) #s(literal -1/720 binary64) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal 1/24 binary64))) (.f64 th th) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal -1/2 binary64))) (.f64 th th) (fma.f64 a2 a2 (.f64 a1 a1))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (fma.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (fma.f64 (fma.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th))) (.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (fma.f64 (fma.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (.f64 (fma.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (.f64 (.f64 #s(literal -1/720 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th))) (.f64 th th))) (.f64 th th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal -1/2 binary64)) (.f64 th th) (fma.f64 a2 a2 (.f64 a1 a1))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 (fma.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal 1/24 binary64)) (.f64 th th))) (.f64 th th) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 (fma.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal -1/2 binary64) (.f64 (fma.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal 1/24 binary64) (.f64 (.f64 #s(literal -1/720 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 th th))) (.f64 th th))) (.f64 th th) (fma.f64 a2 a2 (.f64 a1 a1))))
#s(approx (* (cos th) a2) a2)
#s(approx (* (cos th) a2) (fma.f64 (.f64 (.f64 th th) a2) #s(literal -1/2 binary64) a2))
#s(approx (* (cos th) a2) (fma.f64 (fma.f64 (.f64 (.f64 th th) a2) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) a2)) (.f64 th th) a2))
#s(approx (* (cos th) a2) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) a2) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) a2)) (.f64 th th) (.f64 #s(literal -1/2 binary64) a2)) (.f64 th th) a2))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (.f64 a1 a1))) #s(literal 1/2 binary64)))
#s(approx (cos th) (cos.f64 th))
#s(approx (+ (* (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (.f64 (.f64 (pow.f64 th #s(literal 4 binary64)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (.f64 (fma.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (.f64 th th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 th #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (.f64 (fma.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (.f64 th th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 (pow.f64 th #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (pow.f64 th #s(literal 4 binary64))))
#s(approx (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (* 1/24 (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)))) (.f64 (fma.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (.f64 th th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))))

eval131.0ms (2.3%)

Memory: -2.7MiB live, 88.4MiB allocated; 6ms collecting garbage
Compiler: Compiled 33 526 to 2 341 computations (93% saved)

prune55.0ms (1%)

Memory

11.5MiB live, 57.6MiB allocated; 4ms collecting garbage

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	716	18	734
Fresh	7	0	7
Picked	4	1	5
Done	0	0	0
Total	727	19	746

Accuracy

100.0%

Counts

746 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.1%	(/.f64 (fma.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (* (* (sqrt 2) a2) a2) (cos th)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))) #s(literal 2 binary64))
	99.5%	(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓	99.6%	(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	64.5%	(/.f64 (.f64 #s(approx (cos th) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th)) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64))) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	65.0%	(/.f64 (.f64 #s(approx (cos th) (fma.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
▶	64.8%	(/.f64 (.f64 #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	33.1%	(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal -1/2 binary64)) (.f64 th th) (fma.f64 a2 a2 (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
▶	98.8%	(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
▶	99.6%	(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
	99.6%	#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (.f64 a1 a1))) #s(literal 1/2 binary64)))
	69.0%	#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
	98.7%	#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
▶	33.1%	#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (fma.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
	98.7%	#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
	68.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
	69.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
	68.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
▶	11.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
	29.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (+.f64 (/.f64 (.f64 a2 a2) (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 a1 a1))))

Compiler

Compiled 1 074 to 692 computations (35.6% saved)

series71.0ms (1.3%)

Memory

-30.1MiB live, 65.0MiB allocated; 13ms collecting garbage

Counts

30 → 106

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
19.0ms	th	@	inf	((* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cos th) th (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (cos th) (+ (* (* th th) -1/2) 1) (* th th) -1/2 1 (+ (* a1 a1) (* a2 a2)) (* a2 a2) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (+ (* (/ (* (+ (* a2 a2) (* a1 a1)) -1/2) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/ (* (+ (* a2 a2) (* a1 a1)) -1/2) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) -1/2) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (* (cos th) a2) a2) (* (cos th) a2))
9.0ms	a2	@	inf	((* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cos th) th (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (cos th) (+ (* (* th th) -1/2) 1) (* th th) -1/2 1 (+ (* a1 a1) (* a2 a2)) (* a2 a2) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (+ (* (/ (* (+ (* a2 a2) (* a1 a1)) -1/2) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/ (* (+ (* a2 a2) (* a1 a1)) -1/2) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) -1/2) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (* (cos th) a2) a2) (* (cos th) a2))
4.0ms	a2	@	-inf	((* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cos th) th (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (cos th) (+ (* (* th th) -1/2) 1) (* th th) -1/2 1 (+ (* a1 a1) (* a2 a2)) (* a2 a2) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (+ (* (/ (* (+ (* a2 a2) (* a1 a1)) -1/2) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/ (* (+ (* a2 a2) (* a1 a1)) -1/2) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) -1/2) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (* (cos th) a2) a2) (* (cos th) a2))
3.0ms	a1	@	inf	((* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cos th) th (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (cos th) (+ (* (* th th) -1/2) 1) (* th th) -1/2 1 (+ (* a1 a1) (* a2 a2)) (* a2 a2) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (+ (* (/ (* (+ (* a2 a2) (* a1 a1)) -1/2) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/ (* (+ (* a2 a2) (* a1 a1)) -1/2) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) -1/2) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (* (cos th) a2) a2) (* (cos th) a2))
3.0ms	a2	@	0	((* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cos th) th (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (cos th) (+ (* (* th th) -1/2) 1) (* th th) -1/2 1 (+ (* a1 a1) (* a2 a2)) (* a2 a2) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (+ (* (/ (* (+ (* a2 a2) (* a1 a1)) -1/2) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/ (* (+ (* a2 a2) (* a1 a1)) -1/2) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) -1/2) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (* (cos th) a2) a2) (* (cos th) a2))

rewrite257.0ms (4.6%)

Memory

32.4MiB live, 266.3MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	353	3340
0	396	3077
1	2015	2966
0	9565	2885

Stop Event

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

Counts

136 → 417

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) #s(literal 2 binary64)) #s(literal 2 binary64)) (.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 (neg.f64 (.f64 (.f64 a1 a1) (cos.f64 th))) (neg.f64 (.f64 (.f64 (cos.f64 th) a2) a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (neg.f64 (.f64 (.f64 (cos.f64 th) a2) a2)) (neg.f64 (.f64 (.f64 a1 a1) (cos.f64 th)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (.f64 (.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (.f64 (*.f64 (cos.f64 th) a2) a2)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 (cos.f64 th) a2) a2)))) #s(literal -2 binary64))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))))))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (.f64 (cos.f64 th) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (.f64 (cos.f64 th) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))))))
(/.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (neg.f64 (.f64 (.f64 a1 a1) (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (.f64 (*.f64 (cos.f64 th) a2) a2)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 (.f64 a1 a1) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 th) a2) a2))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 (.f64 (cos.f64 th) a2) a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (.f64 (.f64 (cos.f64 th) a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (.f64 (*.f64 a1 a1) (cos.f64 th))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 (.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 a1) (cos.f64 th)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 (.f64 a1 a1) (cos.f64 th))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 a1 a1) (cos.f64 th)))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (.f64 (.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (.f64 (*.f64 (cos.f64 th) a2) a2)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 (cos.f64 th) a2) a2))) #s(literal 2 binary64))
(/.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2 (.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1 (.f64 (*.f64 a2 a2) (/.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 (.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 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1) (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2) (.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (.f64 (.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (.f64 (.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (neg.f64 (.f64 a2 a2)) (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 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a2)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (.f64 (.f64 (cos.f64 th) a2) a2)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (pow.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (.f64 (.f64 (cos.f64 th) a2) a2)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 th) a2) a2)) #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 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 (sin.f64 th) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 th) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 th) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 th (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 th)))
(cos.f64 (neg.f64 th))
(cos.f64 th)
(+.f64 (.f64 (sin.f64 th) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 th) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
th
(/.f64 (+.f64 (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (+.f64 (neg.f64 (.f64 a1 a1)) (neg.f64 (.f64 a2 a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (neg.f64 (.f64 a2 a2)) (neg.f64 (.f64 a1 a1))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -2 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 a2 a2)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 a2 a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 a1 a1)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (neg.f64 a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (neg.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (neg.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a1)) (*.f64 a2 a2))
(fma.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)) (*.f64 a2 a2))
(fma.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a2)) (*.f64 a1 a1))
(fma.f64 (neg.f64 (fabs.f64 a2)) (neg.f64 (fabs.f64 a2)) (*.f64 a1 a1))
(fma.f64 (fabs.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a1)) (*.f64 a2 a2))
(fma.f64 (fabs.f64 (fabs.f64 a2)) (fabs.f64 (fabs.f64 a2)) (*.f64 a1 a1))
(fma.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)) (*.f64 a2 a2))
(fma.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2)) (*.f64 a1 a1))
(fma.f64 (neg.f64 a2) (neg.f64 a2) (*.f64 a1 a1))
(fma.f64 (neg.f64 a1) (neg.f64 a1) (*.f64 a2 a2))
(fma.f64 (fabs.f64 a2) (fabs.f64 a2) (*.f64 a1 a1))
(fma.f64 (fabs.f64 a1) (fabs.f64 a1) (*.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(-.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))
(-.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))
(-.f64 (.f64 a1 a1) (.f64 (neg.f64 a2) a2))
(-.f64 (.f64 a2 a2) (.f64 (neg.f64 a1) a1))
(+.f64 (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (.f64 a2 a1) #s(literal 2 binary64))))) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (.f64 a2 a1) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))))) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (.f64 a1 a2) #s(literal 2 binary64))))))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
a2
(*.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a1)))
(*.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)))
(*.f64 (fabs.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a1)))
(*.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)))
(*.f64 (neg.f64 a1) (neg.f64 a1))
(*.f64 (fabs.f64 a1) (fabs.f64 a1))
(*.f64 a1 a1)
(pow.f64 (exp.f64 (log.f64 a1)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a1) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a1) #s(literal 2 binary64))
(pow.f64 (*.f64 a1 a1) #s(literal 1 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(fabs.f64 (*.f64 a1 a1))
(exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 a1) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 a1) #s(literal 2 binary64))))
a1
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a1 a1)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a1 a1))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a1 a1))
(.f64 #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 (.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))) (/.f64 (.f64 (.f64 a2 a2) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 a1 a1) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 a2 a2) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 a1 a1) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 (.f64 a1 a1) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (-.f64 (.f64 (.f64 (.f64 a2 a2) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 (.f64 a2 a2) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (.f64 (.f64 (.f64 a1 a1) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 (.f64 a2 a2) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))))))
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(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 a1 #s(literal 6 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 6 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 a1 a1) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 a1 a1) #s(literal -1/2 binary64)) (.f64 (.f64 a2 a2) #s(literal -1/2 binary64))))))
(fma.f64 (.f64 a1 a1) #s(literal -1/2 binary64) (.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)))
(fma.f64 (.f64 a2 a2) #s(literal -1/2 binary64) (.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (.f64 a1 a1) (.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (.f64 a2 a2) (.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 a1 a1) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 a1 a1) #s(literal -1/2 binary64)) (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 a1 a1) #s(literal -1/2 binary64)) (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)))))
(-.f64 (.f64 (.f64 a1 a1) #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)))
(+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 a1 #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (.f64 a1 a1) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 a1 a1) #s(literal -1/2 binary64)) (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)))))) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (.f64 a1 a1) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 a1 a1) #s(literal -1/2 binary64)) (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)))))))
(+.f64 (.f64 (.f64 a1 a1) #s(literal -1/2 binary64)) (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)))
(+.f64 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) (.f64 (.f64 a1 a1) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) a2)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) a2))
(.f64 (.f64 (cos.f64 th) a2) a2)
(.f64 (.f64 a2 a2) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 a2 a2))
(.f64 a2 (.f64 (cos.f64 th) a2))
(*.f64 (cos.f64 th) a2)
(*.f64 a2 (cos.f64 th))
#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)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2))
#s(approx (+ (* a1 a1) (* a2 a2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
#s(approx (* a1 a1) (*.f64 a1 a1))
#s(approx a1 a1)
#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)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2))
#s(approx (+ (* a1 a1) (* a2 a2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
#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)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) a2))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)))
#s(approx (+ (* (/ (* (+ (* a2 a2) (* a1 a1)) -1/2) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/.f64 (fma.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (* (+ (* a2 a2) (* a1 a1)) -1/2) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (fma.f64 (/.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (* (+ (* a2 a2) (* a1 a1)) -1/2) (sqrt 2)) (/.f64 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (* (+ (* a2 a2) (* a1 a1)) -1/2) (sqrt 2)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (+ (* a2 a2) (* a1 a1)) -1/2) (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)))
#s(approx (* (+ (* a2 a2) (* a1 a1)) -1/2) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(literal -1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.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 (fma.f64 (/.f64 (.f64 a2 a2) a1) (/.f64 (cos.f64 th) a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)))
#s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a1 a1))
#s(approx (+ (* a1 a1) (* a2 a2)) (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.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 (fma.f64 (/.f64 (.f64 a2 a2) a1) (/.f64 (cos.f64 th) a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)))
#s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a1 a1))
#s(approx (+ (* a1 a1) (* a2 a2)) (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.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 (fma.f64 (/.f64 (.f64 a2 a2) a1) (/.f64 (cos.f64 th) a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 a1 a1) (cos.f64 th)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (fma.f64 (/.f64 (.f64 a2 a2) a1) (/.f64 (cos.f64 th) a1) (cos.f64 th)) (*.f64 a1 a1)))
#s(approx (+ (* (/ (* (+ (* a2 a2) (* a1 a1)) -1/2) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (.f64 (/.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (* (+ (* a2 a2) (* a1 a1)) -1/2) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 a1 a1)) (/.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1)))
#s(approx (/ (* (+ (* a2 a2) (* a1 a1)) -1/2) (sqrt 2)) (/.f64 (.f64 (.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (* (+ (* a2 a2) (* a1 a1)) -1/2) (sqrt 2)) (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 a1 a1)) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (*.f64 a1 a1)))
#s(approx (* (+ (* a2 a2) (* a1 a1)) -1/2) (.f64 (.f64 a1 a1) #s(literal -1/2 binary64)))
#s(approx (* (+ (* a2 a2) (* a1 a1)) -1/2) (.f64 (-.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a1) (/.f64 (.f64 a2 a2) a1)) #s(literal 1/2 binary64)) (.f64 a1 a1)))
#s(approx a2 a2)
#s(approx (* a2 a2) (*.f64 a2 a2))
#s(approx (+ (* (/ (* (+ (* a2 a2) (* a1 a1)) -1/2) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 th a1) #s(literal 2 binary64)) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (* (+ (* a2 a2) (* a1 a1)) -1/2) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (fma.f64 (/.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (* (cos th) a2) a2) (.f64 (.f64 (cos.f64 th) a2) a2))
#s(approx (* (cos th) a2) (*.f64 (cos.f64 th) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 th) a2) (/.f64 (.f64 a1 a1) a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
#s(approx (+ (* a1 a1) (* a2 a2)) (.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 th) a2) (/.f64 (.f64 a1 a1) a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
#s(approx (+ (* a1 a1) (* a2 a2)) (.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 th) a2) (/.f64 (.f64 a1 a1) a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (fma.f64 (/.f64 (cos.f64 th) a2) (/.f64 (.f64 a1 a1) a2) (cos.f64 th)) (*.f64 a2 a2)))
#s(approx (+ (* (/ (* (+ (* a2 a2) (* a1 a1)) -1/2) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (.f64 (/.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (* (+ (* a2 a2) (* a1 a1)) -1/2) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 a2 a2)) (/.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a2 a2)))
#s(approx (/ (* (+ (* a2 a2) (* a1 a1)) -1/2) (sqrt 2)) (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 a2 a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (*.f64 a2 a2)))
#s(approx (* (+ (* a2 a2) (* a1 a1)) -1/2) (.f64 (-.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a2) (/.f64 (.f64 a1 a1) a2)) #s(literal 1/2 binary64)) (.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2)) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 th th)) (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 th th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (cos th) #s(literal 1 binary64))
#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th)) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64)))
#s(approx th th)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(literal -1/2 binary64)) (.f64 th th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th))) (.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 #s(literal -1/720 binary64) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th))) (.f64 th th))) (.f64 th th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2)) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 th th)) (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 th th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 a1 a1 (*.f64 a2 a2)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2)) (fma.f64 a1 a1 (.f64 a2 a2))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(literal -1/2 binary64))) (.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 th th)) (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (.f64 a2 a2)))) (.f64 th th) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(literal -1/2 binary64))) (.f64 th th) (fma.f64 a1 a1 (.f64 a2 a2))))
#s(approx (+ (* (* th th) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* th th) -1/2) 1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* th th) (*.f64 th th))
#s(approx (+ (* (/ (* (+ (* a2 a2) (* a1 a1)) -1/2) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (* (+ (* a2 a2) (* a1 a1)) -1/2) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/.f64 (fma.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2)) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (cos th) a2) a2) (*.f64 a2 a2))
#s(approx (* (* (cos th) a2) a2) (fma.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 a2 a2)))
#s(approx (* (* (cos th) a2) a2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 (.f64 th a2) #s(literal 2 binary64)) (.f64 (.f64 a2 a2) #s(literal -1/2 binary64))) (.f64 th th) (*.f64 a2 a2)))
#s(approx (* (* (cos th) a2) a2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (pow.f64 (.f64 th a2) #s(literal 2 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 a2 a2))) (.f64 th th) (.f64 (.f64 a2 a2) #s(literal -1/2 binary64))) (.f64 th th) (.f64 a2 a2)))
#s(approx (* (cos th) a2) a2)
#s(approx (* (cos th) a2) (fma.f64 (.f64 (.f64 th th) a2) #s(literal -1/2 binary64) a2))
#s(approx (* (cos th) a2) (fma.f64 (fma.f64 (.f64 (.f64 th th) a2) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) a2)) (.f64 th th) a2))
#s(approx (* (cos th) a2) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) a2) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) a2)) (.f64 th th) (.f64 #s(literal -1/2 binary64) a2)) (.f64 th th) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2))))
#s(approx (cos th) (cos.f64 th))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)))
#s(approx (+ (* (* th th) -1/2) 1) (.f64 (.f64 th th) #s(literal -1/2 binary64)))
#s(approx (+ (* (* th th) -1/2) 1) (.f64 (-.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/2 binary64)) (.f64 th th)))
#s(approx (+ (* (/ (* (+ (* a2 a2) (* a1 a1)) -1/2) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (.f64 (.f64 (.f64 th th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
#s(approx (+ (* (/ (* (+ (* a2 a2) (* a1 a1)) -1/2) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (.f64 (fma.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (.f64 th th)))

eval97.0ms (1.7%)

Memory: -16.4MiB live, 170.9MiB allocated; 33ms collecting garbage
Compiler: Compiled 21 899 to 2 046 computations (90.7% saved)

prune32.0ms (0.6%)

Memory

-11.1MiB live, 91.0MiB allocated; 11ms collecting garbage

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	600	11	611
Fresh	4	9	13
Picked	3	2	5
Done	0	1	1
Total	607	23	630

Accuracy

100.0%

Counts

630 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.1%	(/.f64 (fma.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (* (* (sqrt 2) a2) a2) (cos th)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))) #s(literal 2 binary64))
	99.5%	(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓	99.6%	(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	65.0%	(/.f64 (.f64 #s(approx (cos th) (fma.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
✓	98.8%	(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
▶	64.2%	(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 #s(approx (cos th) (fma.f64 (-.f64 (.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) a2)) (sqrt.f64 #s(literal 2 binary64)))
	64.7%	(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 #s(approx (cos th) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
	98.8%	(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 a2 a2) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
▶	64.2%	(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 (.f64 th th) a2) #s(literal -1/2 binary64) a2)) a2)) (sqrt.f64 #s(literal 2 binary64)))
▶	68.8%	(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
	98.8%	(.f64 (cos.f64 th) (/.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
▶	99.6%	#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (.f64 a1 a1))) #s(literal 1/2 binary64)))
	69.0%	#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
	98.7%	#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
	57.6%	#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (fma.f64 (/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) -1/2) (.f64 (.f64 a1 a1) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
▶	33.0%	#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(literal -1/2 binary64)) (.f64 th th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (fma.f64 a1 a1 (.f64 a2 a2))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
	33.1%	#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (+.f64 (/.f64 (fma.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(literal -1/2 binary64)) (.f64 th th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
	64.5%	#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(approx (+ (* (/ (* (+ (* a2 a2) (* a1 a1)) -1/2) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (.f64 (/.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
	12.2%	#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(approx (+ (* (/ (* (+ (* a2 a2) (* a1 a1)) -1/2) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (.f64 (/.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
	68.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
	69.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
✓	11.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
	29.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (+.f64 (/.f64 (.f64 a2 a2) (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 a1 a1))))

Compiler

Compiled 1 444 to 902 computations (37.5% saved)

series55.0ms (1%)

Memory

26.0MiB live, 115.5MiB allocated; 11ms collecting garbage

Counts

48 → 161

Calls

Call 1

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

Outputs
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a2 2) (* (cos th) (sqrt 2)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx a1 #s(hole binary64 a1))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (cos th))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))))
#s(approx (/ (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (* (pow a2 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (* (pow th 2) (sqrt 2))))) (pow (sqrt 2) 2)))))
#s(approx (/ (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (+ (* -1 (* (pow a1 2) (- (* 1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2))))) (* -1 (/ (+ (* -1 (* (pow a2 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (* (pow th 2) (sqrt 2))))) (pow (sqrt 2) 2))))))
#s(approx (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) #s(hole binary64 (+ (* -1 (* (pow a2 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (* (pow th 2) (sqrt 2)))))))
#s(approx (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) #s(hole binary64 (+ (* -1 (* (pow a2 2) (sqrt 2))) (+ (* 1/2 (* (pow a2 2) (* (pow th 2) (sqrt 2)))) (* (pow a1 2) (+ (* -1 (sqrt 2)) (* 1/2 (* (pow th 2) (sqrt 2)))))))))
#s(approx (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) #s(hole binary64 (* -1/2 (* (pow a2 2) (pow th 2)))))
#s(approx (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) #s(hole binary64 (+ (* -1/2 (* (pow a1 2) (pow th 2))) (* -1/2 (* (pow a2 2) (pow th 2))))))
#s(approx (* (+ (* a1 a1) (* a2 a2)) -1/2) #s(hole binary64 (* -1/2 (pow a2 2))))
#s(approx (* (+ (* a1 a1) (* a2 a2)) -1/2) #s(hole binary64 (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2)))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (* -1 (* (pow a2 2) (sqrt 2)))))
#s(approx (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (+ (* -1 (* (pow a1 2) (sqrt 2))) (* -1 (* (pow a2 2) (sqrt 2))))))
#s(approx (neg (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* -1 (pow a2 2))))
#s(approx (neg (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (- (* -1 (pow a1 2)) (pow a2 2))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (cos th))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))))
#s(approx (/ (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (* -1 (/ (* (pow a1 2) (+ (* -1 (sqrt 2)) (* 1/2 (* (pow th 2) (sqrt 2))))) (pow (sqrt 2) 2)))))
#s(approx (/ (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (* (pow a1 2) (+ (* -1 (/ (+ (* -1 (sqrt 2)) (* 1/2 (* (pow th 2) (sqrt 2)))) (pow (sqrt 2) 2))) (* -1 (/ (+ (* -1 (/ (pow a2 2) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2)))) (pow a1 2)))))))
#s(approx (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) #s(hole binary64 (* (pow a1 2) (+ (* -1 (sqrt 2)) (* 1/2 (* (pow th 2) (sqrt 2)))))))
#s(approx (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) #s(hole binary64 (* (pow a1 2) (+ (* -1 (sqrt 2)) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (+ (* 1/2 (* (pow th 2) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (pow th 2) (sqrt 2))) (pow a1 2)))))))))
#s(approx (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) #s(hole binary64 (* -1/2 (* (pow a1 2) (pow th 2)))))
#s(approx (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) #s(hole binary64 (* (pow a1 2) (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (pow a1 2))) (* -1/2 (pow th 2))))))
#s(approx (* (+ (* a1 a1) (* a2 a2)) -1/2) #s(hole binary64 (* -1/2 (pow a1 2))))
#s(approx (* (+ (* a1 a1) (* a2 a2)) -1/2) #s(hole binary64 (* (pow a1 2) (- (* -1/2 (/ (pow a2 2) (pow a1 2))) 1/2))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (* -1 (* (pow a1 2) (sqrt 2)))))
#s(approx (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (* (pow a1 2) (+ (* -1 (sqrt 2)) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))))
#s(approx (neg (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* -1 (pow a1 2))))
#s(approx (neg (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (- (* -1 (/ (pow a2 2) (pow a1 2))) 1))))
#s(approx a2 #s(hole binary64 a2))
#s(approx (* (* (cos th) a2) a2) #s(hole binary64 (* (pow a2 2) (cos th))))
#s(approx (* (cos th) a2) #s(hole binary64 (* a2 (cos th))))
#s(approx (+ (* (* (* th th) a2) -1/2) a2) #s(hole binary64 (* a2 (+ 1 (* -1/2 (pow th 2))))))
#s(approx (* (* th th) a2) #s(hole binary64 (* a2 (pow th 2))))
#s(approx (/ (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a1 2) (* (pow th 2) (sqrt 2))))) (pow (sqrt 2) 2)))))
#s(approx (/ (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (+ (* -1 (* (pow a2 2) (- (* 1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2))))) (* -1 (/ (+ (* -1 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a1 2) (* (pow th 2) (sqrt 2))))) (pow (sqrt 2) 2))))))
#s(approx (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) #s(hole binary64 (+ (* -1 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a1 2) (* (pow th 2) (sqrt 2)))))))
#s(approx (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) #s(hole binary64 (+ (* -1 (* (pow a1 2) (sqrt 2))) (+ (* 1/2 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* (pow a2 2) (+ (* -1 (sqrt 2)) (* 1/2 (* (pow th 2) (sqrt 2)))))))))
#s(approx (* a2 a2) #s(hole binary64 (pow a2 2)))
#s(approx (neg (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (- (* -1 (pow a2 2)) (pow a1 2))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))))
#s(approx (/ (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (* -1 (/ (* (pow a2 2) (+ (* -1 (sqrt 2)) (* 1/2 (* (pow th 2) (sqrt 2))))) (pow (sqrt 2) 2)))))
#s(approx (/ (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (* (pow a2 2) (+ (* -1 (/ (+ (* -1 (sqrt 2)) (* 1/2 (* (pow th 2) (sqrt 2)))) (pow (sqrt 2) 2))) (* -1 (/ (+ (* -1 (/ (pow a1 2) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2)))) (pow a2 2)))))))
#s(approx (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) #s(hole binary64 (* (pow a2 2) (+ (* -1 (sqrt 2)) (* 1/2 (* (pow th 2) (sqrt 2)))))))
#s(approx (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) #s(hole binary64 (* (pow a2 2) (+ (* -1 (sqrt 2)) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (+ (* 1/2 (* (pow th 2) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (pow th 2) (sqrt 2))) (pow a2 2)))))))))
#s(approx (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) #s(hole binary64 (* (pow a2 2) (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (pow a2 2))) (* -1/2 (pow th 2))))))
#s(approx (* (+ (* a1 a1) (* a2 a2)) -1/2) #s(hole binary64 (* (pow a2 2) (- (* -1/2 (/ (pow a1 2) (pow a2 2))) 1/2))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (* (pow a2 2) (+ (* -1 (sqrt 2)) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))))
#s(approx (neg (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (- (* -1 (/ (pow a1 2) (pow a2 2))) 1))))
#s(approx (+ (* (* (* th th) a2) -1/2) a2) #s(hole binary64 (* -1 (* a2 (- (* 1/2 (pow th 2)) 1)))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (+ (* 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)))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole 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))))))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole 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))))))))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (+ (* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole 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))))))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole 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)))))))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (* -1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) #s(hole 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))))))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (* (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)))))))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (sqrt 2)))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (+ (sqrt 2) (* -1/2 (* (pow th 2) (sqrt 2))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (+ (sqrt 2) (* (pow th 2) (+ (* -1/2 (sqrt 2)) (* 1/24 (* (pow th 2) (sqrt 2))))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (+ (sqrt 2) (* (pow th 2) (+ (* -1/2 (sqrt 2)) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (sqrt 2))) (* 1/24 (sqrt 2)))))))))
#s(approx (cos th) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(hole binary64 (+ (* (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))))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(hole binary64 (+ (* (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))))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (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)))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (+ (pow a1 2) (pow a2 2))))))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (* (cos th) a2) a2) #s(hole binary64 (pow a2 2)))
#s(approx (* (* (cos th) a2) a2) #s(hole binary64 (+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2))))
#s(approx (* (* (cos th) a2) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* 1/24 (* (pow a2 2) (pow th 2))))) (pow a2 2))))
#s(approx (* (* (cos th) a2) a2) #s(hole binary64 (+ (* (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))))
#s(approx (* (cos th) a2) #s(hole binary64 a2))
#s(approx (* (cos th) a2) #s(hole binary64 (+ a2 (* -1/2 (* a2 (pow th 2))))))
#s(approx (* (cos th) a2) #s(hole binary64 (+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))))))
#s(approx (* (cos th) a2) #s(hole binary64 (+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2))))))))
#s(approx (+ (* (* (* th th) a2) -1/2) a2) #s(hole binary64 a2))
#s(approx (+ (* (* (* th th) a2) -1/2) a2) #s(hole binary64 (+ a2 (* -1/2 (* a2 (pow th 2))))))
#s(approx (* th th) #s(hole binary64 (pow th 2)))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) #s(hole binary64 (- (* 1/24 (pow th 2)) 1/2)))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) #s(hole binary64 (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
#s(approx (* (+ (* -1/720 (* th th)) 1/24) (* th th)) #s(hole binary64 (* 1/24 (pow th 2))))
#s(approx (* (+ (* -1/720 (* th th)) 1/24) (* th th)) #s(hole binary64 (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2))))))
#s(approx (+ (* -1/720 (* th th)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* th th)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow th 2)))))
#s(approx (/ (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))
#s(approx (/ (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) #s(hole binary64 (* -1 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) #s(hole binary64 (+ (* -1 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))
#s(approx (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) #s(hole binary64 (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) #s(hole binary64 (* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (* (cos th) (sqrt 2))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(hole binary64 (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (cos th) (+ (pow a1 2) (pow a2 2)))))
#s(approx (+ (* (* (* th th) a2) -1/2) a2) #s(hole binary64 (* -1/2 (* a2 (pow th 2)))))
#s(approx (+ (* (* (* th th) a2) -1/2) a2) #s(hole binary64 (* (pow th 2) (+ (* -1/2 a2) (/ a2 (pow th 2))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (* -1/720 (pow th 6))))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) 1/720))))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) (+ 1/720 (/ 1/2 (pow th 4)))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (* (pow th 6) (- (+ (* 1/24 (/ 1 (pow th 2))) (/ 1 (pow th 6))) (+ 1/720 (/ 1/2 (pow th 4)))))))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) #s(hole binary64 (* -1/720 (pow th 4))))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) #s(hole binary64 (* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) #s(hole binary64 (* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) (+ 1/720 (/ 1/2 (pow th 4)))))))
#s(approx (* (+ (* -1/720 (* th th)) 1/24) (* th th)) #s(hole binary64 (* -1/720 (pow th 4))))
#s(approx (* (+ (* -1/720 (* th th)) 1/24) (* th th)) #s(hole binary64 (* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))))
#s(approx (+ (* -1/720 (* th th)) 1/24) #s(hole binary64 (* -1/720 (pow th 2))))
#s(approx (+ (* -1/720 (* th th)) 1/24) #s(hole binary64 (* (pow th 2) (- (* 1/24 (/ 1 (pow th 2))) 1/720))))
#s(approx (/ (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2)))))
#s(approx (/ (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (+ (/ (pow a1 2) (* (pow th 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2))))))))
#s(approx (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) #s(hole binary64 (* 1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))
#s(approx (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) #s(hole binary64 (* (pow th 2) (+ (* -1 (/ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (pow th 2))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	th	@	inf	((/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (* (sqrt 2) (cos th)) (sqrt 2) 2 (cos th) th (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 1/2 (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (* (cos th) a2) a2) (* (cos th) a2) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (* (cos th) a2) a2) (* (cos th) a2) (+ (* (* (* th th) a2) -1/2) a2) (* (* th th) a2) (* th th) -1/2 (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (* (cos th) a2) a2) (* (cos th) a2) (cos th) (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* (+ (* -1/720 (* th th)) 1/24) (* th th)) (+ (* -1/720 (* th th)) 1/24) -1/720 1/24 1 (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (/ (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (sqrt 2) (neg (sqrt 2)))) (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (* (+ (* a1 a1) (* a2 a2)) -1/2) (+ (* a1 a1) (* a2 a2)) (* a2 a2) (neg (sqrt 2)) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2)))) (neg (+ (* a1 a1) (* a2 a2))) (* (sqrt 2) (neg (sqrt 2))))
5.0ms	a2	@	inf	((/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (* (sqrt 2) (cos th)) (sqrt 2) 2 (cos th) th (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 1/2 (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (* (cos th) a2) a2) (* (cos th) a2) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (* (cos th) a2) a2) (* (cos th) a2) (+ (* (* (* th th) a2) -1/2) a2) (* (* th th) a2) (* th th) -1/2 (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (* (cos th) a2) a2) (* (cos th) a2) (cos th) (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* (+ (* -1/720 (* th th)) 1/24) (* th th)) (+ (* -1/720 (* th th)) 1/24) -1/720 1/24 1 (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (/ (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (sqrt 2) (neg (sqrt 2)))) (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (* (+ (* a1 a1) (* a2 a2)) -1/2) (+ (* a1 a1) (* a2 a2)) (* a2 a2) (neg (sqrt 2)) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2)))) (neg (+ (* a1 a1) (* a2 a2))) (* (sqrt 2) (neg (sqrt 2))))
5.0ms	th	@	-inf	((/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (* (sqrt 2) (cos th)) (sqrt 2) 2 (cos th) th (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 1/2 (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (* (cos th) a2) a2) (* (cos th) a2) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (* (cos th) a2) a2) (* (cos th) a2) (+ (* (* (* th th) a2) -1/2) a2) (* (* th th) a2) (* th th) -1/2 (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (* (cos th) a2) a2) (* (cos th) a2) (cos th) (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* (+ (* -1/720 (* th th)) 1/24) (* th th)) (+ (* -1/720 (* th th)) 1/24) -1/720 1/24 1 (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (/ (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (sqrt 2) (neg (sqrt 2)))) (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (* (+ (* a1 a1) (* a2 a2)) -1/2) (+ (* a1 a1) (* a2 a2)) (* a2 a2) (neg (sqrt 2)) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2)))) (neg (+ (* a1 a1) (* a2 a2))) (* (sqrt 2) (neg (sqrt 2))))
5.0ms	a2	@	0	((/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (* (sqrt 2) (cos th)) (sqrt 2) 2 (cos th) th (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 1/2 (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (* (cos th) a2) a2) (* (cos th) a2) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (* (cos th) a2) a2) (* (cos th) a2) (+ (* (* (* th th) a2) -1/2) a2) (* (* th th) a2) (* th th) -1/2 (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (* (cos th) a2) a2) (* (cos th) a2) (cos th) (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* (+ (* -1/720 (* th th)) 1/24) (* th th)) (+ (* -1/720 (* th th)) 1/24) -1/720 1/24 1 (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (/ (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (sqrt 2) (neg (sqrt 2)))) (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (* (+ (* a1 a1) (* a2 a2)) -1/2) (+ (* a1 a1) (* a2 a2)) (* a2 a2) (neg (sqrt 2)) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2)))) (neg (+ (* a1 a1) (* a2 a2))) (* (sqrt 2) (neg (sqrt 2))))
5.0ms	a1	@	0	((/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (* (sqrt 2) (cos th)) (sqrt 2) 2 (cos th) th (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 1/2 (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (* (cos th) a2) a2) (* (cos th) a2) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (* (cos th) a2) a2) (* (cos th) a2) (+ (* (* (* th th) a2) -1/2) a2) (* (* th th) a2) (* th th) -1/2 (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (* (cos th) a2) a2) (* (cos th) a2) (cos th) (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* (+ (* -1/720 (* th th)) 1/24) (* th th)) (+ (* -1/720 (* th th)) 1/24) -1/720 1/24 1 (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (/ (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (sqrt 2) (neg (sqrt 2)))) (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (* (+ (* a1 a1) (* a2 a2)) -1/2) (+ (* a1 a1) (* a2 a2)) (* a2 a2) (neg (sqrt 2)) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2)))) (neg (+ (* a1 a1) (* a2 a2))) (* (sqrt 2) (neg (sqrt 2))))

rewrite925.0ms (16.4%)

Memory

-188.3MiB live, 464.1MiB allocated; 1.1s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	605	5694
0	673	5270
1	3483	5250
0	8713	5145

Stop Event

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

Counts

209 → 484

Calls

Call 1

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

Outputs
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal 1/2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)))))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64))))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (.f64 (.f64 #s(literal 1/2 binary64) (.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 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)) (.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)))))))
(fma.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 (.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 a1 a1) (.f64 (.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 a2 a2) (.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a1 (cos.f64 th)) a1) (.f64 (.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(+.f64 (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(literal 2 binary64)
(fma.f64 (sin.f64 th) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 th) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 th) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 th (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 th)))
(cos.f64 (neg.f64 th))
(cos.f64 th)
(+.f64 (.f64 (sin.f64 th) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 th) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
th
(/.f64 (neg.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (neg.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (neg.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a1)) (*.f64 a2 a2))
(fma.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)) (*.f64 a2 a2))
(fma.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a2)) (*.f64 a1 a1))
(fma.f64 (neg.f64 (fabs.f64 a2)) (neg.f64 (fabs.f64 a2)) (*.f64 a1 a1))
(fma.f64 (fabs.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a1)) (*.f64 a2 a2))
(fma.f64 (fabs.f64 (fabs.f64 a2)) (fabs.f64 (fabs.f64 a2)) (*.f64 a1 a1))
(fma.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2)) (*.f64 a1 a1))
(fma.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)) (*.f64 a2 a2))
(fma.f64 (neg.f64 a2) (neg.f64 a2) (*.f64 a1 a1))
(fma.f64 (neg.f64 a1) (neg.f64 a1) (*.f64 a2 a2))
(fma.f64 (fabs.f64 a2) (fabs.f64 a2) (*.f64 a1 a1))
(fma.f64 (fabs.f64 a1) (fabs.f64 a1) (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 a1 a1 (*.f64 a2 a2))
(-.f64 (.f64 a1 a1) (.f64 (neg.f64 a2) a2))
(-.f64 (.f64 a2 a2) (.f64 (neg.f64 a1) a1))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
a2
(*.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a1)))
(*.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)))
(*.f64 (fabs.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a1)))
(*.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)))
(*.f64 (neg.f64 a1) (neg.f64 a1))
(*.f64 (fabs.f64 a1) (fabs.f64 a1))
(*.f64 a1 a1)
(pow.f64 (exp.f64 (log.f64 a1)) #s(literal 2 binary64))
(pow.f64 (pow.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (neg.f64 a1) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a1) #s(literal 2 binary64))
(pow.f64 (*.f64 a1 a1) #s(literal 1 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal -2 binary64)))
(fabs.f64 (*.f64 a1 a1))
(exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 a1) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 a1) #s(literal 2 binary64))))
a1
#s(literal 1/2 binary64)
(/.f64 (neg.f64 (neg.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) a2) a2)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) a2) a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) a2) a2))
(.f64 #s(approx ( (cos th) a2) a2) a2)
(.f64 a2 #s(approx ( (cos th) a2) a2))
#s(approx (* (cos th) a2) a2)
(/.f64 (neg.f64 (neg.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 #s(literal -1/2 binary64) a2) (.f64 th th) a2)) a2)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 #s(literal -1/2 binary64) a2) (.f64 th th) a2)) a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 #s(literal -1/2 binary64) a2) (.f64 th th) a2)) a2)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 #s(literal -1/2 binary64) a2) (.f64 th th) a2)) a2))
(.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 #s(literal -1/2 binary64) a2) (.f64 th th) a2)) a2)
(.f64 a2 #s(approx ( (cos th) a2) (fma.f64 (.f64 #s(literal -1/2 binary64) a2) (.f64 th th) a2)))
#s(approx (* (cos th) a2) (fma.f64 (.f64 #s(literal -1/2 binary64) a2) (.f64 th th) a2))
(/.f64 (neg.f64 (-.f64 (.f64 a2 a2) (pow.f64 (.f64 (.f64 (.f64 th th) a2) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 a2 (.f64 (.f64 (*.f64 th th) a2) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 th th) a2) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 a2 a2))) (neg.f64 (-.f64 (.f64 (.f64 (*.f64 th th) a2) #s(literal -1/2 binary64)) a2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 th th) a2) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 a2 a2 (-.f64 (pow.f64 (.f64 (.f64 (.f64 th th) a2) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 a2 (.f64 (.f64 (.f64 th th) a2) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 th th) a2) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 th th) a2) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 (.f64 (.f64 (.f64 th th) a2) #s(literal -1/2 binary64)) a2)))))
(/.f64 (-.f64 (.f64 a2 a2) (pow.f64 (.f64 (.f64 (.f64 th th) a2) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 a2 (.f64 (.f64 (*.f64 th th) a2) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 th th) a2) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 a2 a2)) (-.f64 (.f64 (.f64 (*.f64 th th) a2) #s(literal -1/2 binary64)) a2))
(/.f64 (+.f64 (pow.f64 a2 #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 th th) a2) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 a2 a2 (-.f64 (pow.f64 (.f64 (.f64 (.f64 th th) a2) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 a2 (.f64 (.f64 (.f64 th th) a2) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 th th) a2) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 th th) a2) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 (.f64 (.f64 (.f64 th th) a2) #s(literal -1/2 binary64)) a2))))
(fma.f64 (.f64 #s(literal -1/2 binary64) a2) (.f64 th th) a2)
(fma.f64 (.f64 (.f64 th th) a2) #s(literal -1/2 binary64) a2)
(fma.f64 (.f64 th th) (.f64 #s(literal -1/2 binary64) a2) a2)
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) a2) a2)
(-.f64 a2 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 th th) a2)))
(+.f64 (.f64 (.f64 (*.f64 th th) a2) #s(literal -1/2 binary64)) a2)
(+.f64 a2 (.f64 (.f64 (*.f64 th th) a2) #s(literal -1/2 binary64)))
(.f64 (.f64 th th) a2)
(.f64 a2 (.f64 th th))
(.f64 th (.f64 th a2))
(*.f64 (neg.f64 (fabs.f64 th)) (neg.f64 (fabs.f64 th)))
(*.f64 (fabs.f64 (fabs.f64 th)) (fabs.f64 (fabs.f64 th)))
(*.f64 (exp.f64 (log.f64 th)) (exp.f64 (log.f64 th)))
(*.f64 (neg.f64 (neg.f64 th)) (neg.f64 (neg.f64 th)))
(*.f64 (fabs.f64 th) (fabs.f64 th))
(*.f64 (neg.f64 th) (neg.f64 th))
(*.f64 th th)
(pow.f64 (exp.f64 (log.f64 th)) #s(literal 2 binary64))
(pow.f64 (pow.f64 th (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (fabs.f64 th) #s(literal 2 binary64))
(pow.f64 (neg.f64 th) #s(literal 2 binary64))
(pow.f64 (*.f64 th th) #s(literal 1 binary64))
(pow.f64 th #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal -2 binary64)))
(fabs.f64 (*.f64 th th))
(exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 th) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 th) #s(literal 2 binary64))))
#s(literal -1/2 binary64)
(/.f64 (neg.f64 (neg.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 #s(approx (cos th) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64))) (.f64 a2 a2))))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 #s(approx (cos th) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64))) (.f64 a2 a2)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 #s(approx (cos th) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64))) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 #s(approx (cos th) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64))) (.f64 a2 a2)))
(.f64 (.f64 #s(approx (cos th) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64))) a2) a2)
(.f64 #s(approx (cos th) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64))) (.f64 a2 a2))
(.f64 a2 (.f64 #s(approx (cos th) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64))) a2))
(.f64 #s(approx (cos th) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) a2)
(.f64 a2 #s(approx (cos th) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))))
#s(approx (cos th) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (.f64 th th)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (.f64 th th)))))
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(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal -1/2 binary64)) (.f64 (.f64 th th) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal -1/2 binary64)) (.f64 (.f64 th th) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (fma.f64 a2 a2 (*.f64 a1 a1)))))
(+.f64 (.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 -1/2 binary64)) (.f64 (*.f64 th th) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal -1/2 binary64)) (.f64 (.f64 th th) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (.f64 (neg.f64 (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal -1/2 binary64)) th) th)
(.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal -1/2 binary64)) (.f64 th th))
(.f64 (.f64 th th) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal -1/2 binary64)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (.f64 th th) #s(literal -1/2 binary64)))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal -1/2 binary64))
(.f64 #s(literal -1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 a1 a1) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 a1 a1) #s(literal -1/2 binary64)) (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 a1 #s(literal 6 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 a1 a1) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 a1 a1) #s(literal -1/2 binary64)) (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 a1 a1) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 a1 a1) #s(literal -1/2 binary64)) (.f64 (.f64 a2 a2) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 a1 #s(literal 6 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 a2 #s(literal 6 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 a1 a1) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 a1 a1) #s(literal -1/2 binary64)) (.f64 (.f64 a2 a2) #s(literal -1/2 binary64))))))
(fma.f64 (.f64 a1 a1) #s(literal -1/2 binary64) (.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)))
(fma.f64 (.f64 a2 a2) #s(literal -1/2 binary64) (.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (.f64 a1 a1) (.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (.f64 a2 a2) (.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)))
(-.f64 (.f64 (.f64 a1 a1) #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)))
(+.f64 (.f64 (.f64 a1 a1) #s(literal -1/2 binary64)) (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)))
(+.f64 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) (.f64 (.f64 a1 a1) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (neg.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (neg.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a1)) (*.f64 a2 a2))
(fma.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)) (*.f64 a2 a2))
(fma.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a2)) (*.f64 a1 a1))
(fma.f64 (neg.f64 (fabs.f64 a2)) (neg.f64 (fabs.f64 a2)) (*.f64 a1 a1))
(fma.f64 (fabs.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a1)) (*.f64 a2 a2))
(fma.f64 (fabs.f64 (fabs.f64 a2)) (fabs.f64 (fabs.f64 a2)) (*.f64 a1 a1))
(fma.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2)) (*.f64 a1 a1))
(fma.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)) (*.f64 a2 a2))
(fma.f64 (neg.f64 a2) (neg.f64 a2) (*.f64 a1 a1))
(fma.f64 (neg.f64 a1) (neg.f64 a1) (*.f64 a2 a2))
(fma.f64 (fabs.f64 a2) (fabs.f64 a2) (*.f64 a1 a1))
(fma.f64 (fabs.f64 a1) (fabs.f64 a1) (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 a1 a1 (*.f64 a2 a2))
(-.f64 (.f64 a1 a1) (.f64 (neg.f64 a2) a2))
(-.f64 (.f64 a2 a2) (.f64 (neg.f64 a1) a1))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(*.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a2)))
(*.f64 (neg.f64 (fabs.f64 a2)) (neg.f64 (fabs.f64 a2)))
(*.f64 (fabs.f64 (fabs.f64 a2)) (fabs.f64 (fabs.f64 a2)))
(*.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2)))
(*.f64 (neg.f64 a2) (neg.f64 a2))
(*.f64 (fabs.f64 a2) (fabs.f64 a2))
(*.f64 a2 a2)
(pow.f64 (exp.f64 (log.f64 a2)) #s(literal 2 binary64))
(pow.f64 (pow.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (neg.f64 a2) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a2) #s(literal 2 binary64))
(pow.f64 (*.f64 a2 a2) #s(literal 1 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 a2 #s(literal -2 binary64)))
(fabs.f64 (*.f64 a2 a2))
(exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 a2) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 a2) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))
(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 #s(literal -1 binary64) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (neg.f64 (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (fma.f64 a2 a2 (.f64 a1 a1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (neg.f64 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (.f64 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (pow.f64 a1 #s(literal 6 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (.f64 (neg.f64 (pow.f64 a2 #s(literal 6 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (.f64 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 2 binary64))) (-.f64 (.f64 (neg.f64 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (.f64 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
(/.f64 (fma.f64 (neg.f64 (pow.f64 a1 #s(literal 6 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (.f64 (neg.f64 (pow.f64 a2 #s(literal 6 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (.f64 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))))
(neg.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (neg.f64 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
(fma.f64 (neg.f64 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64) (neg.f64 (.f64 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
(fma.f64 (.f64 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal -1 binary64) (.f64 (neg.f64 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (.f64 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (.f64 (neg.f64 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (.f64 (neg.f64 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
(+.f64 (.f64 (neg.f64 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (.f64 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
(+.f64 (neg.f64 (.f64 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) (.f64 (neg.f64 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (fma.f64 a2 a2 (*.f64 a1 a1)))
(fma.f64 #s(literal -1 binary64) (.f64 a1 a1) (neg.f64 (.f64 a2 a2)))
(fma.f64 (.f64 a1 a1) #s(literal -1 binary64) (neg.f64 (.f64 a2 a2)))
(+.f64 (neg.f64 (.f64 a1 a1)) (neg.f64 (.f64 a2 a2)))
#s(literal -2 binary64)
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal 1/2 binary64))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal 1/2 binary64))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (.f64 (.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2))
#s(approx (+ (* a1 a1) (* a2 a2)) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (* a1 a1) (*.f64 a1 a1))
#s(approx a1 a1)
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (/.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 a2 (cos.f64 th)) a2))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)))
#s(approx (/ (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (sqrt 2) (neg (sqrt 2)))) (neg.f64 (/.f64 (fma.f64 (neg.f64 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (sqrt 2) (neg (sqrt 2)))) (.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1) (/.f64 (fma.f64 (neg.f64 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
#s(approx (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (fma.f64 (neg.f64 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (fma.f64 (neg.f64 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (fma.f64 (.f64 (.f64 th th) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1) (.f64 (.f64 (pow.f64 (*.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
#s(approx (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))))
#s(approx (* (+ (* a1 a1) (* a2 a2)) -1/2) (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)))
#s(approx (* (+ (* a1 a1) (* a2 a2)) -1/2) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal -1/2 binary64)))
#s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2))
#s(approx (+ (* a1 a1) (* a2 a2)) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2)))) (neg.f64 (.f64 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2)))) (.f64 (neg.f64 (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (neg (+ (* a1 a1) (* a2 a2))) (neg.f64 (*.f64 a2 a2)))
#s(approx (neg (+ (* a1 a1) (* a2 a2))) (-.f64 (neg.f64 (.f64 a1 a1)) (.f64 a2 a2)))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)))) (*.f64 a1 a1)))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)))) (*.f64 a1 a1)))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (.f64 (.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 (.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))) (.f64 a1 a1)))
#s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a1 a1))
#s(approx (+ (* a1 a1) (* a2 a2)) (.f64 (+.f64 (/.f64 (.f64 a2 a2) (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 a1 a1)))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (/.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (.f64 (fma.f64 (/.f64 (.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 a1 a1)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 a1 (cos.f64 th)) a1))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (fma.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (.f64 a1 a1)) (cos.f64 th)) (.f64 a1 a1)))
#s(approx (/ (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (sqrt 2) (neg (sqrt 2)))) (neg.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 th th) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1)) #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (sqrt 2) (neg (sqrt 2)))) (.f64 (.f64 #s(literal -1 binary64) (+.f64 (/.f64 (fma.f64 (.f64 (.f64 th th) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (fma.f64 (/.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (neg.f64 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1)))) (.f64 a1 a1)))
#s(approx (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (.f64 (fma.f64 (.f64 (.f64 th th) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1)))
#s(approx (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (.f64 a1 a1))) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 th th) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))))) (.f64 a1 a1)))
#s(approx (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
#s(approx (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) (.f64 a1 a1)) (.f64 th th))) (.f64 a1 a1)))
#s(approx (* (+ (* a1 a1) (* a2 a2)) -1/2) (.f64 (.f64 a1 a1) #s(literal -1/2 binary64)))
#s(approx (* (+ (* a1 a1) (* a2 a2)) -1/2) (.f64 (-.f64 (/.f64 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) (.f64 a1 a1)) #s(literal 1/2 binary64)) (*.f64 a1 a1)))
#s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a1 a1))
#s(approx (+ (* a1 a1) (* a2 a2)) (.f64 (+.f64 (/.f64 (.f64 a2 a2) (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 a1 a1)))
#s(approx (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2)))) (.f64 (neg.f64 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2)))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (.f64 a1 a1)) #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (neg (+ (* a1 a1) (* a2 a2))) (neg.f64 (*.f64 a1 a1)))
#s(approx (neg (+ (* a1 a1) (* a2 a2))) (.f64 (-.f64 (/.f64 (neg.f64 (.f64 a2 a2)) (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 a1 a1)))
#s(approx a2 a2)
#s(approx (* (* (cos th) a2) a2) (.f64 (.f64 a2 (cos.f64 th)) a2))
#s(approx (* (cos th) a2) (*.f64 a2 (cos.f64 th)))
#s(approx (+ (* (* (* th th) a2) -1/2) a2) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) a2))
#s(approx (* (* th th) a2) (.f64 (.f64 th th) a2))
#s(approx (/ (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (sqrt 2) (neg (sqrt 2)))) (neg.f64 (/.f64 (fma.f64 (neg.f64 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (sqrt 2) (neg (sqrt 2)))) (.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2) (/.f64 (fma.f64 (neg.f64 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
#s(approx (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (fma.f64 (neg.f64 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (fma.f64 (neg.f64 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 (fma.f64 (.f64 (.f64 th th) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))))
#s(approx (* a2 a2) (*.f64 a2 a2))
#s(approx (neg (+ (* a1 a1) (* a2 a2))) (-.f64 (neg.f64 (.f64 a2 a2)) (.f64 a1 a1)))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))) (*.f64 a2 a2)))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))) (*.f64 a2 a2)))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 (.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (.f64 a2 a2)))
#s(approx (+ (* a1 a1) (* a2 a2)) (.f64 (+.f64 (/.f64 (.f64 a1 a1) (.f64 a2 a2)) #s(literal 1 binary64)) (.f64 a2 a2)))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (.f64 (fma.f64 (/.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a2)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (fma.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (.f64 a2 a2)) (cos.f64 th)) (.f64 a2 a2)))
#s(approx (/ (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (sqrt 2) (neg (sqrt 2)))) (neg.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 th th) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a2)) #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (sqrt 2) (neg (sqrt 2)))) (.f64 (.f64 #s(literal -1 binary64) (+.f64 (/.f64 (fma.f64 (.f64 (.f64 th th) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (fma.f64 (/.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (neg.f64 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a2)))) (.f64 a2 a2)))
#s(approx (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (.f64 (fma.f64 (.f64 (.f64 th th) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a2)))
#s(approx (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 th th) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))))) (.f64 a2 a2)))
#s(approx (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 th th))) (.f64 a2 a2)))
#s(approx (* (+ (* a1 a1) (* a2 a2)) -1/2) (.f64 (-.f64 (/.f64 (.f64 (.f64 a1 a1) #s(literal -1/2 binary64)) (.f64 a2 a2)) #s(literal 1/2 binary64)) (*.f64 a2 a2)))
#s(approx (+ (* a1 a1) (* a2 a2)) (.f64 (+.f64 (/.f64 (.f64 a1 a1) (.f64 a2 a2)) #s(literal 1 binary64)) (.f64 a2 a2)))
#s(approx (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2)))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (neg (+ (* a1 a1) (* a2 a2))) (.f64 (-.f64 (/.f64 (neg.f64 (.f64 a1 a1)) (.f64 a2 a2)) #s(literal 1 binary64)) (.f64 a2 a2)))
#s(approx (+ (* (* (* th th) a2) -1/2) a2) (neg.f64 (.f64 (-.f64 (.f64 (*.f64 th th) #s(literal 1/2 binary64)) #s(literal 1 binary64)) a2)))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 th th) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 th th) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))))) (.f64 th th) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th) (.f64 (.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))))) (.f64 th th))) (*.f64 th th))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 th th)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) (.f64 th th)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))) (*.f64 th th))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (.f64 #s(literal -1/1440 binary64) (.f64 th th)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 th th))) (*.f64 th th))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (fma.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (fma.f64 (fma.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 th th) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (fma.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))) (.f64 th th))) (.f64 th th) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (sqrt 2) (cos th)) (fma.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (sqrt 2) (cos th)) (fma.f64 (fma.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (sqrt 2) (cos th)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th) (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (cos th) #s(literal 1 binary64))
#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64)))
#s(approx th th)
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (fma.f64 (.f64 (.f64 th th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (fma.f64 (fma.f64 (.f64 (.f64 th th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/24 binary64) (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/720 binary64) (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th) (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 (.f64 (.f64 th th) (fma.f64 a2 a2 (.f64 a1 a1))) #s(literal -1/2 binary64) (fma.f64 a2 a2 (.f64 a1 a1))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 (fma.f64 (.f64 (.f64 th th) (fma.f64 a2 a2 (.f64 a1 a1))) #s(literal 1/24 binary64) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal -1/2 binary64))) (.f64 th th) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) (fma.f64 a2 a2 (.f64 a1 a1))) #s(literal -1/720 binary64) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal 1/24 binary64))) (.f64 th th) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal -1/2 binary64))) (.f64 th th) (fma.f64 a2 a2 (.f64 a1 a1))))
#s(approx (* (* (cos th) a2) a2) (*.f64 a2 a2))
#s(approx (* (* (cos th) a2) a2) (fma.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 a2 a2)))
#s(approx (* (* (cos th) a2) a2) (fma.f64 (fma.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) #s(literal 1/24 binary64) (.f64 (.f64 a2 a2) #s(literal -1/2 binary64))) (.f64 th th) (*.f64 a2 a2)))
#s(approx (* (* (cos th) a2) a2) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) #s(literal -1/720 binary64) (.f64 (.f64 a2 a2) #s(literal 1/24 binary64))) (.f64 th th) (.f64 (.f64 a2 a2) #s(literal -1/2 binary64))) (.f64 th th) (.f64 a2 a2)))
#s(approx (* (cos th) a2) a2)
#s(approx (* (cos th) a2) (fma.f64 (.f64 #s(literal -1/2 binary64) a2) (.f64 th th) a2))
#s(approx (* (cos th) a2) (fma.f64 (fma.f64 (.f64 (.f64 th th) a2) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) a2)) (.f64 th th) a2))
#s(approx (* (cos th) a2) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) a2) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) a2)) (.f64 th th) (.f64 #s(literal -1/2 binary64) a2)) (.f64 th th) a2))
#s(approx (+ (* (* (* th th) a2) -1/2) a2) a2)
#s(approx (+ (* (* (* th th) a2) -1/2) a2) (fma.f64 (.f64 #s(literal -1/2 binary64) a2) (.f64 th th) a2))
#s(approx (* th th) (*.f64 th th))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (fma.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64)))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)))
#s(approx (* (+ (* -1/720 (* th th)) 1/24) (* th th)) (.f64 (.f64 th th) #s(literal 1/24 binary64)))
#s(approx (* (+ (* -1/720 (* th th)) 1/24) (* th th)) (.f64 (.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th))
#s(approx (+ (* -1/720 (* th th)) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* -1/720 (* th th)) 1/24) (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
#s(approx (/ (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (sqrt 2) (neg (sqrt 2)))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (sqrt 2) (neg (sqrt 2)))) (fma.f64 (.f64 (.f64 th th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (.f64 (neg.f64 (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (fma.f64 (.f64 (.f64 th th) #s(literal 1/2 binary64)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal 1/2 binary64))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal 1/2 binary64))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (* (sqrt 2) (cos th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
#s(approx (cos th) (cos.f64 th))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)))
#s(approx (+ (* (* (* th th) a2) -1/2) a2) (.f64 (.f64 (*.f64 th th) a2) #s(literal -1/2 binary64)))
#s(approx (+ (* (* (* th th) a2) -1/2) a2) (.f64 (fma.f64 #s(literal -1/2 binary64) a2 (/.f64 a2 (.f64 th th))) (*.f64 th th)))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (*.f64 (pow.f64 th #s(literal 6 binary64)) #s(literal -1/720 binary64)))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (.f64 (pow.f64 th #s(literal 6 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64))))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (.f64 (pow.f64 th #s(literal 6 binary64)) (-.f64 (-.f64 (.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 th #s(literal 4 binary64))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (*.f64 (pow.f64 th #s(literal 6 binary64)) (-.f64 (-.f64 (fma.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/24 binary64) (pow.f64 th #s(literal -6 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 th #s(literal 4 binary64))))))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (*.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal -1/720 binary64)))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (.f64 (pow.f64 th #s(literal 4 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64))))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (.f64 (-.f64 (-.f64 (.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 th #s(literal 4 binary64)))) (pow.f64 th #s(literal 4 binary64))))
#s(approx (* (+ (* -1/720 (* th th)) 1/24) (* th th)) (*.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal -1/720 binary64)))
#s(approx (* (+ (* -1/720 (* th th)) 1/24) (* th th)) (.f64 (pow.f64 th #s(literal 4 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64))))
#s(approx (+ (* -1/720 (* th th)) 1/24) (.f64 (.f64 th th) #s(literal -1/720 binary64)))
#s(approx (+ (* -1/720 (* th th)) 1/24) (.f64 (-.f64 (.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (*.f64 th th)))
#s(approx (/ (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (sqrt 2) (neg (sqrt 2)))) (.f64 (.f64 (.f64 th th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (* (sqrt 2) (neg (sqrt 2)))) (.f64 (fma.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (.f64 th th)))
#s(approx (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (.f64 (.f64 (.f64 th th) #s(literal 1/2 binary64)) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (.f64 (neg.f64 (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th))) (*.f64 th th)))

eval117.0ms (2.1%)

Memory: 9.0MiB live, 145.4MiB allocated; 14ms collecting garbage
Compiler: Compiled 31 564 to 3 316 computations (89.5% saved)

prune52.0ms (0.9%)

Memory

-12.0MiB live, 128.3MiB allocated; 17ms collecting garbage

Pruning

27 alts after pruning (21 fresh and 6 done)

	Pruned	Kept	Total
New	678	12	690
Fresh	6	9	15
Picked	2	3	5
Done	0	3	3
Total	686	27	713

Accuracy

100.0%

Counts

713 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.1%	(/.f64 (fma.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (* (* (sqrt 2) a2) a2) (cos th)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))) #s(literal 2 binary64))
✓	99.6%	(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	65.0%	(/.f64 (.f64 #s(approx (cos th) (fma.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
✓	98.8%	(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	64.2%	(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 #s(approx (cos th) (fma.f64 (-.f64 (.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) a2)) (sqrt.f64 #s(literal 2 binary64)))
	64.7%	(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 #s(approx (cos th) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* th th)) 1/24) #s(literal 1/24 binary64)) (.f64 th th)) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64))) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
	98.8%	(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 a2 a2) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
	64.2%	(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) (fma.f64 (.f64 th (.f64 th a2)) #s(literal -1/2 binary64) a2)) a2)) (sqrt.f64 #s(literal 2 binary64)))
	13.7%	(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) #s(approx (+ (* (* (* th th) a2) -1/2) a2) (.f64 (.f64 (*.f64 th th) a2) #s(literal -1/2 binary64)))) a2)) (sqrt.f64 #s(literal 2 binary64)))
	68.8%	(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) a2) a2)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓	68.8%	(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
	98.8%	(.f64 (cos.f64 th) (/.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
✓	99.6%	#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (.f64 a1 a1))) #s(literal 1/2 binary64)))
	98.7%	#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2))) #s(literal 1/2 binary64)))
	64.9%	#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64)))) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
	64.7%	#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
	69.0%	#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
	98.7%	#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 #s(approx ( (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (.f64 (.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	57.6%	#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (fma.f64 (/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) -1/2) (.f64 (.f64 a1 a1) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
	33.0%	#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(literal -1/2 binary64)) (.f64 th th)) (neg.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (fma.f64 a1 a1 (.f64 a2 a2))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
	57.0%	#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (/.f64 (fma.f64 (.f64 #s(approx ( (+ (* a1 a1) (* a2 a2)) -1/2) (.f64 (.f64 a1 a1) #s(literal -1/2 binary64))) (.f64 th th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (fma.f64 a1 a1 (.f64 a2 a2))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
	64.4%	#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (/.f64 #s(approx (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (.f64 (fma.f64 (.f64 (.f64 th th) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
	68.9%	#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (/.f64 #s(approx (+ (* (* (* (+ (* a1 a1) (* a2 a2)) -1/2) (* th th)) (neg (sqrt 2))) (* (sqrt 2) (neg (+ (* a1 a1) (* a2 a2))))) (.f64 (neg.f64 (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
	33.1%	#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (+.f64 (/.f64 (fma.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(literal -1/2 binary64)) (.f64 th th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
	12.2%	#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(approx (+ (* (/ (* (+ (* a2 a2) (* a1 a1)) -1/2) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (.f64 (/.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
✓	11.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
	29.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (+.f64 (/.f64 (.f64 a2 a2) (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 a1 a1))))

Compiler

Compiled 2 841 to 914 computations (67.8% saved)

regimes120.0ms (2.1%)

Memory

54.8MiB live, 284.2MiB allocated; 23ms collecting garbage

Counts

54 → 1

Calls

Call 1

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

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

Calls

8 calls:

20.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
17.0ms	a1
14.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
14.0ms	a2
13.0ms	th

Results

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

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes122.0ms (2.2%)

Memory

-34.1MiB live, 212.4MiB allocated; 41ms collecting garbage

Counts

49 → 1

Calls

Call 1

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

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

Calls

8 calls:

27.0ms	th
17.0ms	(*.f64 a2 a2)
16.0ms	a2
14.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
13.0ms	(cos.f64 th)

Results

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

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes84.0ms (1.5%)

Memory

33.6MiB live, 174.6MiB allocated; 5ms collecting garbage

Counts

42 → 1

Calls

Call 1

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

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

Calls

8 calls:

12.0ms	th
11.0ms	(cos.f64 th)
11.0ms	a2
10.0ms	a1
10.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))

Results

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

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes84.0ms (1.5%)

Memory

-31.3MiB live, 158.5MiB allocated; 8ms collecting garbage

Counts

41 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

11.0ms	a1
11.0ms	(*.f64 a2 a2)
10.0ms	th
10.0ms	a2
10.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Results

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

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes81.0ms (1.4%)

Memory

7.5MiB live, 151.0MiB allocated; 6ms collecting garbage

Counts

40 → 1

Calls

Call 1

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

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

Calls

8 calls:

12.0ms	a2
10.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
10.0ms	a1
10.0ms	th
9.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
98.8%	1	`(*.f64 a2 a2)`
98.8%	1	`(*.f64 a1 a1)`
98.8%	1	`(cos.f64 th)`
98.8%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
98.8%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
98.8%	1	`a1`
98.8%	1	`a2`
98.8%	1	`th`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes91.0ms (1.6%)

Memory

-3.1MiB live, 145.3MiB allocated; 24ms collecting garbage

Counts

38 → 1

Calls

Call 1

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

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

Calls

8 calls:

23.0ms	(cos.f64 th)
11.0ms	th
11.0ms	a1
10.0ms	a2
9.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
98.8%	1	`th`
98.8%	1	`(*.f64 a2 a2)`
98.8%	1	`(*.f64 a1 a1)`
98.8%	1	`(cos.f64 th)`
98.8%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
98.8%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
98.8%	1	`a1`
98.8%	1	`a2`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes76.0ms (1.3%)

Memory

-0.4MiB live, 142.4MiB allocated; 6ms collecting garbage

Counts

37 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

11.0ms	(*.f64 a2 a2)
10.0ms	a2
10.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
9.0ms	a1
9.0ms	th

Results

Accuracy	Segments	Branch
98.7%	1	`(*.f64 a2 a2)`
98.7%	1	`(*.f64 a1 a1)`
98.7%	1	`(cos.f64 th)`
98.7%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
98.7%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
98.7%	1	`a1`
98.7%	1	`a2`
98.7%	1	`th`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes67.0ms (1.2%)

Memory

-10.9MiB live, 129.5MiB allocated; 4ms collecting garbage

Counts

33 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

9.0ms	(*.f64 a2 a2)
9.0ms	(+.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)))
8.0ms	th
8.0ms	a2
8.0ms	a1

Results

Accuracy	Segments	Branch
98.7%	1	`(*.f64 a2 a2)`
98.7%	1	`(cos.f64 th)`
98.7%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
98.7%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
98.7%	1	`a2`
98.7%	1	`th`
98.7%	1	`(*.f64 a1 a1)`
98.7%	1	`a1`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes65.0ms (1.2%)

Memory

30.2MiB live, 126.4MiB allocated; 5ms collecting garbage

Counts

32 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

10.0ms	a1
8.0ms	(cos.f64 th)
8.0ms	th
8.0ms	a2
7.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
69.1%	1	`(*.f64 a2 a2)`
69.1%	1	`(*.f64 a1 a1)`
76.9%	2	`(cos.f64 th)`
76.9%	2	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
78.4%	2	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
69.1%	1	`a1`
69.1%	1	`a2`
72.1%	2	`th`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes3.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
78.4%	2	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes15.0ms (0.3%)

Memory

-16.7MiB live, 30.3MiB allocated; 1ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

Outputs
#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))))

Calls

6 calls:

3.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
2.0ms	a2
2.0ms	th
2.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
2.0ms	(*.f64 a2 a2)

Results

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

Compiler

Compiled 31 to 33 computations (-6.5% saved)

regimes15.0ms (0.3%)

Memory

-12.0MiB live, 35.2MiB allocated; 2ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

8 calls:

3.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
2.0ms	th
2.0ms	a2
2.0ms	a1
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
69.0%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
69.0%	1	`(*.f64 a1 a1)`
69.0%	1	`(cos.f64 th)`
69.0%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
69.0%	1	`a1`
69.0%	1	`th`
69.0%	1	`(*.f64 a2 a2)`
69.0%	1	`a2`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes12.0ms (0.2%)

Memory

30.2MiB live, 30.2MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

8 calls:

2.0ms	a2
2.0ms	a1
1.0ms	th
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)))

Results

Accuracy	Segments	Branch
68.8%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
68.8%	1	`(*.f64 a1 a1)`
68.8%	1	`a1`
68.8%	1	`(cos.f64 th)`
68.8%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
68.8%	1	`th`
68.8%	1	`(*.f64 a2 a2)`
68.8%	1	`a2`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes10.0ms (0.2%)

Memory

-27.6MiB live, 22.4MiB allocated; 2ms collecting garbage

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
11.2%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
11.2%	1	`(*.f64 a1 a1)`
11.2%	1	`(cos.f64 th)`
11.2%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
11.2%	1	`a1`
11.2%	1	`th`
11.2%	1	`(*.f64 a2 a2)`
11.2%	1	`a2`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.714914874395924e-124	-1.375736799617955e-186

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.714914874395924e-124	-1.375736799617955e-186

Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify51.0ms (0.9%)

Memory

4.0MiB live, 50.9MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	492
1	204	465
2	593	465
3	2162	459
4	7163	459

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (fma.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) #s(literal 2 binary64))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (.f64 a1 a1))) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 a2 a2) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (cos.f64 th) (/.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 #s(approx ( (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (.f64 (.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)))) #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 -1488565707357403/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) #s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(approx (+ (* (/ (* (+ (* a2 a2) (* a1 a1)) -1/2) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (.f64 (/.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))) #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
(if (<=.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #s(literal -1488565707357403/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) (/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) #s(approx (+ (* (* (* th th) a2) -1/2) a2) (.f64 (.f64 (.f64 th th) a2) #s(literal -1/2 binary64)))) a2)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (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 #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))

Outputs
(/.f64 (fma.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) #s(literal 2 binary64))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (.f64 a1 a1))) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 a2 a2) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (cos.f64 th) (/.f64 #s(approx (+ ( a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 #s(approx ( (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) (.f64 (.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)))) #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 -1488565707357403/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) #s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(approx (+ (* (/ (* (+ (* a2 a2) (* a1 a1)) -1/2) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (.f64 (/.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))) #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
(if (<=.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #s(literal -1488565707357403/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ (* (+ (* a2 a2) (* a1 a1)) -1/2) (sqrt 2)) (* th th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (.f64 (/.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))) #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
(if (<=.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #s(literal -1488565707357403/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) (/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) #s(approx (+ (* (* (* th th) a2) -1/2) a2) (.f64 (.f64 (.f64 th th) a2) #s(literal -1/2 binary64)))) a2)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ ( (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (* (* (sqrt 2) a2) a2) (cos th))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (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 #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))

derivations538.0ms (9.5%)

Memory

27.5MiB live, 526.6MiB allocated; 150ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 528 to 105 computations (80.1% saved)

preprocess85.0ms (1.5%)

Memory

7.1MiB live, 101.6MiB allocated; 10ms collecting garbage

Remove

(abs th)

(abs a2)

Compiler

Compiled 1 334 to 390 computations (70.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (23.3%)

explain139.0ms (2.5%)

preprocess204.0ms (3.6%)

eval0.0ms (0%)

prune0.0ms (0%)

series35.0ms (0.6%)

rewrite223.0ms (4%)

eval31.0ms (0.5%)

prune36.0ms (0.6%)

series107.0ms (1.9%)

rewrite233.0ms (4.1%)

eval131.0ms (2.3%)

prune55.0ms (1%)

series71.0ms (1.3%)

rewrite257.0ms (4.6%)

eval97.0ms (1.7%)

prune32.0ms (0.6%)

series55.0ms (1%)

rewrite925.0ms (16.4%)

eval117.0ms (2.1%)

prune52.0ms (0.9%)

regimes120.0ms (2.1%)

regimes122.0ms (2.2%)

regimes84.0ms (1.5%)

regimes84.0ms (1.5%)

regimes81.0ms (1.4%)

regimes91.0ms (1.6%)

regimes76.0ms (1.3%)

regimes67.0ms (1.2%)

regimes65.0ms (1.2%)

regimes3.0ms (0.1%)

regimes15.0ms (0.3%)

regimes15.0ms (0.3%)

regimes12.0ms (0.2%)

regimes10.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify51.0ms (0.9%)

derivations538.0ms (9.5%)

preprocess85.0ms (1.5%)

end0.0ms (0%)

Profiling