Metrics for Migdal et al, Equation (64)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.3MiB live, 1.3MiB 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)

sample1.0s (28.7%)

Memory

16.8MiB live, 1 316.3MiB allocated; 288ms collecting garbage

Samples

756.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 495.0ms

ival-cos: 276.0ms (55.7% of total)

ival-mult!: 154.0ms (31.1% of total)

ival-div!: 37.0ms (7.5% of total)

ival-add!: 27.0ms (5.5% of total)

adjust: 1.0ms (0.2% of total)

Bogosity

preprocess63.0ms (1.7%)

Memory

-11.6MiB live, 35.0MiB allocated; 4ms 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

Stop Event

1×	node-limit

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)))

Symmetry

(abs a1)

(abs a2)

(abs th)

(sort a1 a2)

Compiler

Compiled 32 to 24 computations (25% saved)

series19.0ms (0.5%)

Memory

40.5MiB live, 40.5MiB allocated; 0ms 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
4.0ms	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	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	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)
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 (6.1%)

Memory

-13.3MiB live, 265.6MiB allocated; 61ms 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 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (.f64 (neg.f64 a2) a2) (cos.f64 th) (.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1))) (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 (cos.f64 th) (*.f64 (neg.f64 a2) a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))) (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 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (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 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 (cos.f64 th) a2) a2)))) #s(literal -2 binary64))
(/.f64 (fma.f64 (.f64 (cos.f64 th) (.f64 (neg.f64 a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (cos.f64 th) (.f64 (neg.f64 a2) a2)) (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 (cos.f64 th) (.f64 (neg.f64 a1) a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (cos.f64 th) (.f64 (neg.f64 a1) a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (cos.f64 th) (.f64 (neg.f64 a1) a1)) (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 (cos.f64 th) (.f64 (neg.f64 a2) a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (.f64 (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 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 (cos.f64 th) a2) a2))) #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 (cos.f64 th) a1) a1))) #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 (*.f64 (cos.f64 th) a2) a2) (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 (*.f64 (cos.f64 th) a2) a2) (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 (*.f64 (cos.f64 th) a1) a1) (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 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2 (/.f64 (.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1 (/.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1) (/.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2) (/.f64 (.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (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 (.f64 (cos.f64 th) a2) a2) (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 (.f64 (cos.f64 th) a2) a2) (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 (.f64 (cos.f64 th) a2) a2) (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 (.f64 (cos.f64 th) a2) a2) (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 (.f64 (cos.f64 th) a1) a1) (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 (.f64 (cos.f64 th) a1) a1) (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 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))))) (/.f64 (pow.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (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 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (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 (cos.f64 th) (.f64 (neg.f64 a1) a1))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (cos.f64 th) (.f64 (neg.f64 a1) a1)) (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 (cos.f64 th) (.f64 (neg.f64 a1) a1)) (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))))
(sin.f64 (+.f64 (neg.f64 th) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 th (/.f64 (PI.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)))))
(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) (/.f64 #s(literal 1 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 (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 (cos.f64 th) (.f64 (neg.f64 a2) a2))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (cos.f64 th) (.f64 (neg.f64 a2) a2)) (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 (cos.f64 th) (.f64 (neg.f64 a2) a2)) (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 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (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 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) a1) a1))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (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 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (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))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) 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 (fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) 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 (.f64 #s(literal -1/720 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (.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 (.f64 #s(literal -1/2 binary64) (.f64 a1 a1)) (.f64 th th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 a1 a1)) (.f64 th th) (.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 (.f64 (fma.f64 (.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 a1 a1)) (.f64 th th) (.f64 #s(literal 1/24 binary64) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) th) th (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (cos th) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (cos th) (sqrt 2)) (fma.f64 (.f64 (-.f64 (.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) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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 (.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)) 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 (.f64 #s(literal -1/2 binary64) (.f64 a2 a2)) (.f64 th th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 a2 a2)) (.f64 th th) (.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 (.f64 (fma.f64 (.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 a2 a2)) (.f64 th th) (.f64 #s(literal 1/24 binary64) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) th) th (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) 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))

eval18.0ms (0.5%)

Memory: -22.9MiB live, 36.2MiB allocated; 8ms collecting garbage
Compiler: Compiled 1 826 to 564 computations (69.1% saved)

prune11.0ms (0.3%)

Memory

27.1MiB live, 27.1MiB allocated; 0ms collecting garbage

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	126	15	141
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	127	15	142

Accuracy

100.0%

Counts

142 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(/.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 (cos.f64 th) (.f64 (neg.f64 a1) a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
▶	99.5%	(/.f64 (fma.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 (cos.f64 th) a2) a2))) #s(literal 2 binary64))
	99.5%	(/.f64 (fma.f64 (.f64 (cos.f64 th) (.f64 (neg.f64 a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)))) #s(literal 2 binary64))
▶	99.6%	(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	29.3%	(-.f64 (/.f64 (pow.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (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 (.f64 (cos.f64 th) a2) a2) (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)))))
	99.5%	(+.f64 (.f64 (/.f64 (cos.f64 th) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (exp.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (.f64 a2 a2)))
▶	65.4%	(+.f64 (.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
	68.3%	(+.f64 (.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
▶	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
	37.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
▶	68.4%	#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))))
	98.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
	17.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
	74.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) a1) a1))
	99.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))

Compiler

Compiled 638 to 514 computations (19.4% saved)

series49.0ms (1.3%)

Memory

0.3MiB live, 86.0MiB allocated; 23ms collecting garbage

Counts

32 → 128

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	th	@	inf	((/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (cos th) th (+ (* a1 a1) (* a2 a2)) a1 (* a2 a2) a2 (sqrt 2) 2 (+ (* (/ (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))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) (+ (* -1/2 (* th th)) 1) -1/2 (* th th) 1 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)) (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) (* (* (cos th) a1) a1) (* (cos th) a1) (* (sqrt 2) (* (* (cos th) a2) a2)) (* (* (cos th) a2) a2) (* (cos th) a2))
8.0ms	a1	@	inf	((/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (cos th) th (+ (* a1 a1) (* a2 a2)) a1 (* a2 a2) a2 (sqrt 2) 2 (+ (* (/ (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))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) (+ (* -1/2 (* th th)) 1) -1/2 (* th th) 1 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)) (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) (* (* (cos th) a1) a1) (* (cos th) a1) (* (sqrt 2) (* (* (cos th) a2) a2)) (* (* (cos th) a2) a2) (* (cos th) a2))
7.0ms	th	@	0	((/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (cos th) th (+ (* a1 a1) (* a2 a2)) a1 (* a2 a2) a2 (sqrt 2) 2 (+ (* (/ (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))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) (+ (* -1/2 (* th th)) 1) -1/2 (* th th) 1 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)) (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) (* (* (cos th) a1) a1) (* (cos th) a1) (* (sqrt 2) (* (* (cos th) a2) a2)) (* (* (cos th) a2) a2) (* (cos th) a2))
4.0ms	th	@	-inf	((/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (cos th) th (+ (* a1 a1) (* a2 a2)) a1 (* a2 a2) a2 (sqrt 2) 2 (+ (* (/ (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))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) (+ (* -1/2 (* th th)) 1) -1/2 (* th th) 1 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)) (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) (* (* (cos th) a1) a1) (* (cos th) a1) (* (sqrt 2) (* (* (cos th) a2) a2)) (* (* (cos th) a2) a2) (* (cos th) a2))
4.0ms	a2	@	inf	((/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (cos th) th (+ (* a1 a1) (* a2 a2)) a1 (* a2 a2) a2 (sqrt 2) 2 (+ (* (/ (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))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) (+ (* -1/2 (* th th)) 1) -1/2 (* th th) 1 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)) (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) (* (* (cos th) a1) a1) (* (cos th) a1) (* (sqrt 2) (* (* (cos th) a2) a2)) (* (* (cos th) a2) a2) (* (cos th) a2))

rewrite193.0ms (5.3%)

Memory

0.2MiB live, 230.6MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	481	4102
0	534	3579
1	3015	3486
0	8056	3390

Stop Event

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

Counts

160 → 543

Calls

Call 1

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

Outputs
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (neg.f64 (.f64 (.f64 (cos.f64 th) a1) a1)) (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 (cos.f64 th) a1) a1))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
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th
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(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 (fabs.f64 (fabs.f64 a2)) (fabs.f64 (fabs.f64 a2)) (*.f64 a1 a1))
(fma.f64 (fabs.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a1)) (*.f64 a2 a2))
(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 a2 a2 (*.f64 a1 a1))
(fma.f64 a1 a1 (*.f64 a2 a2))
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(-.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))
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 (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))
(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
(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) (/.f64 #s(literal 1 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)
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (/.f64 (fma.f64 a2 a2 (*.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))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 a2 a2 (*.f64 a1 a1)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))) #s(literal -2 binary64))
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(/.f64 (neg.f64 (fma.f64 a2 a2 (*.f64 a1 a1))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
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(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
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(-.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (neg.f64 a1) a1) (sqrt.f64 #s(literal 2 binary64))))
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(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1) (.f64 (.f64 (.f64 a2 a2) a2) (.f64 (.f64 a2 a2) a2)))) (neg.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 a1) (-.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (*.f64 a2 a2))))))
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(/.f64 (fma.f64 (.f64 (.f64 a1 a1) a1) (.f64 (.f64 a1 a1) a1) (.f64 (.f64 (.f64 a2 a2) a2) (.f64 (.f64 a2 a2) a2))) (fma.f64 (.f64 a1 a1) (.f64 a1 a1) (-.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 (.f64 a1 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 (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 (fabs.f64 (fabs.f64 a2)) (fabs.f64 (fabs.f64 a2)) (*.f64 a1 a1))
(fma.f64 (fabs.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a1)) (*.f64 a2 a2))
(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 a2 a2 (*.f64 a1 a1))
(fma.f64 a1 a1 (*.f64 a2 a2))
(-.f64 (/.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))
(-.f64 (/.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (-.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 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))))
(.f64 (/.f64 #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(/.f64 (fma.f64 #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 a2 a2) (.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)))
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(/.f64 (fma.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 4 binary64))
(/.f64 (-.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #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 (cos.f64 th) a1) a1) (.f64 (.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #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 (cos.f64 th) a1) a1) (.f64 (*.f64 (cos.f64 th) a2) a2)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 2 binary64))
(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (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 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1 (/.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1) (/.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2) (/.f64 (.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.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 (cos.f64 th) a1) a1) (.f64 (.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 th) a2) a2)) #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (.f64 (neg.f64 (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (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 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a2)))
(+.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) a2)) a2 (.f64 (.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 a1 a1) (.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 a2 a2) (.f64 (.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (cos.f64 th) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 (.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 th) a2) a2)))
(-.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 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 (cos.f64 th) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 th) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (cos.f64 th) a1) a1)
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 a1 a1))
(.f64 a1 (.f64 (cos.f64 th) a1))
(*.f64 (cos.f64 th) a1)
(*.f64 a1 (cos.f64 th))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) a2)) a2)
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))
(.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.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) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 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 (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))
#s(approx (+ (* a2 a2) (* a1 a1)) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx a1 a1)
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 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 (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))
#s(approx (+ (* a2 a2) (* a1 a1)) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (* a1 a1) (*.f64 a1 a1))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 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) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (.f64 (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 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) (* (* (cos th) a2) a2))) (.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) (.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 (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (.f64 (/.f64 (fma.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (.f64 a1 a1)) (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 (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))
#s(approx (+ (* a2 a2) (* a1 a1)) (.f64 (+.f64 (/.f64 (.f64 a2 a2) (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 a1 a1)))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (.f64 (/.f64 (fma.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (.f64 a1 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 a1 a1) (/.f64 (+.f64 (/.f64 (.f64 a2 a2) (.f64 a1 a1)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))
#s(approx (+ (* a2 a2) (* a1 a1)) (.f64 (+.f64 (/.f64 (.f64 a2 a2) (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 a1 a1)))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (.f64 (/.f64 (fma.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)))) (*.f64 a1 a1)))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) (.f64 (.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) (.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))) (.f64 a1 a1)))
#s(approx (* a2 a2) (*.f64 a2 a2))
#s(approx a2 a2)
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (sqrt 2) (* (* (cos th) a2) a2)) (.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (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) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (.f64 (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (.f64 a2 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 a1 a1) (/.f64 (cos.f64 th) (.f64 a2 a2)) (cos.f64 th)) (.f64 a2 a2)))
#s(approx (+ (* a2 a2) (* a1 a1)) (.f64 (+.f64 (/.f64 (.f64 a1 a1) (.f64 a2 a2)) #s(literal 1 binary64)) (.f64 a2 a2)))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (.f64 (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (.f64 a2 a2) (/.f64 (+.f64 (/.f64 (.f64 a1 a1) (.f64 a2 a2)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* a2 a2) (* a1 a1)) (.f64 (+.f64 (/.f64 (.f64 a1 a1) (.f64 a2 a2)) #s(literal 1 binary64)) (.f64 a2 a2)))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (.f64 (/.f64 (fma.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a2)))) (*.f64 a2 a2)))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) (.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a2))) (.f64 a2 a2)))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (/.f64 (fma.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) (fma.f64 a2 a2 (.f64 a1 a1)) (.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) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 th th)) (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 #s(literal 1/24 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) (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) #s(literal -1/2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)) (fma.f64 a2 a2 (.f64 a1 a1))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) (fma.f64 a2 a2 (.f64 a1 a1)) (.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 #s(literal -1/720 binary64) (.f64 th th)) (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 #s(literal 1/24 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) (.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) #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) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 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) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 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 #s(literal 1/24 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) (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) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 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 #s(literal 1/24 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 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) (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 (.f64 (.f64 a1 a1) #s(literal -1/2 binary64)) (.f64 th th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 a1 a1)) (.f64 th th) (.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 (* (/ (cos th) (sqrt 2)) (* a1 a1)) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 a1 a1)) (.f64 th th) (.f64 #s(literal 1/24 binary64) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th) (/.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 (/ (cos th) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (cos th) (sqrt 2)) (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (cos th) (sqrt 2)) (fma.f64 (/.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (cos th) (sqrt 2)) (fma.f64 (-.f64 (.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) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* -1/2 (* th th)) 1) #s(literal 1 binary64))
#s(approx (+ (* -1/2 (* th th)) 1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* th th) (*.f64 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 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) (.f64 th th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 a2 a2)) (.f64 th th) (.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 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 a2 a2)) (.f64 th th) (.f64 #s(literal 1/24 binary64) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th) (/.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 (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (/.f64 (fma.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) (fma.f64 a2 a2 (.f64 a1 a1)) (.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) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 th th)) (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 #s(literal 1/24 binary64) (fma.f64 a2 a2 (.f64 a1 a1)))) (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) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 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) (* (* (cos th) a2) a2))) 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) (* (* (cos th) a2) a2))) 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) (* (* (cos th) a2) a2))) 2) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) #s(literal 1/2 binary64) (.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))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))))
#s(approx (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) (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) (* (* (cos th) a2) a2))) (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) (* (* (cos th) a2) a2))) (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 (.f64 (.f64 a1 a1) #s(literal -1/2 binary64)) (.f64 th th) (.f64 a1 a1)))
#s(approx (* (* (cos th) a1) a1) (fma.f64 (.f64 th th) (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 a1 a1)) (.f64 th th) (.f64 (.f64 a1 a1) #s(literal -1/2 binary64))) (*.f64 a1 a1)))
#s(approx (* (* (cos th) a1) a1) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 a1 a1)) (.f64 th th) (.f64 #s(literal 1/24 binary64) (.f64 a1 a1))) (.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 (.f64 th th) (fma.f64 (.f64 (.f64 th th) a1) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) a1)) (.f64 #s(literal -1/2 binary64) a1)) (.f64 th th) a1))
#s(approx (* (sqrt 2) (* (* (cos th) a2) a2)) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (sqrt 2) (* (* (cos th) a2) a2)) (fma.f64 (.f64 (.f64 (.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) #s(literal -1/2 binary64) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (sqrt 2) (* (* (cos th) a2) a2)) (fma.f64 (.f64 th th) (fma.f64 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) #s(literal 1/24 binary64))) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (sqrt 2) (* (* (cos th) a2) a2)) (fma.f64 (fma.f64 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) #s(literal -1/720 binary64))) (.f64 th th))) (.f64 th th) (.f64 (.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 (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)) (.f64 th th) (.f64 a2 a2)))
#s(approx (* (* (cos th) a2) a2) (fma.f64 (.f64 th th) (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 a2 a2)) (.f64 th th) (.f64 (.f64 a2 a2) #s(literal -1/2 binary64))) (*.f64 a2 a2)))
#s(approx (* (* (cos th) a2) a2) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 a2 a2)) (.f64 th th) (.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 (.f64 th th) (fma.f64 (.f64 (.f64 th th) a2) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) a2)) (.f64 #s(literal -1/2 binary64) a2)) (.f64 th th) a2))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 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) (cos.f64 th))
#s(approx (/ (cos th) (sqrt 2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* -1/2 (* th th)) 1) (.f64 (.f64 th th) #s(literal -1/2 binary64)))
#s(approx (+ (* -1/2 (* th th)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th)))
#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 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) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 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)))

eval99.0ms (2.7%)

Memory: 18.8MiB live, 74.1MiB allocated; 13ms collecting garbage
Compiler: Compiled 6 270 to 1 755 computations (72% saved)

prune42.0ms (1.1%)

Memory

-26.2MiB live, 64.6MiB allocated; 8ms collecting garbage

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	435	25	460
Fresh	8	2	10
Picked	3	2	5
Done	0	0	0
Total	446	29	475

Accuracy

100.0%

Counts

475 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.3%	(/.f64 (fma.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(approx (* (cos th) a2) 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)))
	98.5%	(/.f64 (.f64 (cos.f64 th) #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	17.5%	(/.f64 (.f64 (cos.f64 th) #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
	66.8%	(/.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 #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)))
▶	98.5%	(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
	17.5%	(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)))
	61.8%	(+.f64 (.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) #s(approx ( (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
	64.8%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
	66.7%	(.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))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
▶	66.7%	(.f64 (/.f64 #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
	68.3%	(.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
	99.6%	(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
	98.4%	#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (.f64 (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	99.5%	#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 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)))
	17.5%	#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	68.3%	#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
	36.3%	#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 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))))))
▶	37.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
	68.2%	#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))))))
	68.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (pow.f64 (exp.f64 (log.f64 a1)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
✓	68.4%	#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))))
	68.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
▶	99.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))
	67.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
▶	15.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
	56.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (.f64 a2 a2) (/.f64 (+.f64 (/.f64 (.f64 a1 a1) (.f64 a2 a2)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
	29.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (.f64 a1 a1) (/.f64 (+.f64 (/.f64 (.f64 a2 a2) (.f64 a1 a1)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))

Compiler

Compiled 1 237 to 1 084 computations (12.4% saved)

series145.0ms (4%)

Memory

-44.0MiB live, 146.7MiB allocated; 138ms collecting garbage

Counts

34 → 140

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
82.0ms	a2	@	-inf	((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) a1 a2 1 (/ (cos th) (sqrt 2)) (cos th) th (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (* a1 a1) (sqrt 2)) (* a1 a1) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)) (cos th) (+ (* (* th th) -1/2) 1) (* th th) -1/2 (+ (* a2 a2) (* a1 a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (* (cos th) a2) a2) (* (cos th) a2))
11.0ms	a2	@	0	((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) a1 a2 1 (/ (cos th) (sqrt 2)) (cos th) th (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (* a1 a1) (sqrt 2)) (* a1 a1) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)) (cos th) (+ (* (* th th) -1/2) 1) (* th th) -1/2 (+ (* a2 a2) (* a1 a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (* (cos th) a2) a2) (* (cos th) a2))
6.0ms	a1	@	-inf	((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) a1 a2 1 (/ (cos th) (sqrt 2)) (cos th) th (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (* a1 a1) (sqrt 2)) (* a1 a1) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)) (cos th) (+ (* (* th th) -1/2) 1) (* th th) -1/2 (+ (* a2 a2) (* a1 a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (* (cos th) a2) a2) (* (cos th) a2))
6.0ms	a1	@	inf	((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) a1 a2 1 (/ (cos th) (sqrt 2)) (cos th) th (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (* a1 a1) (sqrt 2)) (* a1 a1) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)) (cos th) (+ (* (* th th) -1/2) 1) (* th th) -1/2 (+ (* a2 a2) (* a1 a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (* (cos th) a2) a2) (* (cos th) a2))
6.0ms	th	@	inf	((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) a1 a2 1 (/ (cos th) (sqrt 2)) (cos th) th (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (* a1 a1) (sqrt 2)) (* a1 a1) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)) (cos th) (+ (* (* th th) -1/2) 1) (* th th) -1/2 (+ (* a2 a2) (* a1 a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (* (cos th) a2) a2) (* (cos th) a2))

rewrite201.0ms (5.5%)

Memory

35.2MiB live, 263.6MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	504	5016
0	550	4521
1	2928	4506
0	8255	4414

Stop Event

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

Counts

174 → 365

Calls

Call 1

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

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

eval88.0ms (2.4%)

Memory: -26.9MiB live, 76.2MiB allocated; 14ms collecting garbage
Compiler: Compiled 5 923 to 1 963 computations (66.9% saved)

prune46.0ms (1.3%)

Memory

17.5MiB live, 65.1MiB allocated; 2ms collecting garbage

Pruning

39 alts after pruning (34 fresh and 5 done)

	Pruned	Kept	Total
New	391	20	411
Fresh	8	14	22
Picked	2	3	5
Done	0	2	2
Total	401	39	440

Accuracy

100.0%

Counts

440 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	98.5%	(/.f64 (.f64 (cos.f64 th) #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	17.5%	(/.f64 (.f64 (cos.f64 th) #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
	66.8%	(/.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 #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)))
✓	98.5%	(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
	17.5%	(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)))
	66.0%	(/.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)))
	67.6%	(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
	66.7%	(.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))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
	65.9%	(.f64 (/.f64 #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)))
	16.1%	(.f64 (/.f64 #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)))
	66.7%	(.f64 (/.f64 #s(approx (cos th) (fma.f64 (exp.f64 (.f64 (log.f64 th) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
	38.4%	(.f64 (/.f64 #s(approx (cos th) #s(approx (+ ( (* th th) -1/2) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal 1/2 binary64)) (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
	68.3%	(.f64 (/.f64 #s(approx (cos th) #s(approx (+ ( (* th th) -1/2) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
▶	99.6%	(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
	98.4%	#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (.f64 (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	99.5%	#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 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)))
	17.5%	#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	68.3%	#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
	17.5%	#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
▶	15.2%	#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
▶	36.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
	12.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
	68.2%	#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))))))
✓	68.4%	#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))))
✓	99.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))
	68.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))
▶	68.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))
	98.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))
	68.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
▶	98.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))) a2))
	15.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (pow.f64 (exp.f64 (log.f64 a1)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
✓	15.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
	15.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
	56.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (.f64 a2 a2) (/.f64 (+.f64 (/.f64 (.f64 a1 a1) (.f64 a2 a2)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
	29.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (.f64 a1 a1) (/.f64 (+.f64 (/.f64 (.f64 a2 a2) (.f64 a1 a1)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
	52.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (fma.f64 (/.f64 (.f64 (.f64 a2 th) (.f64 a2 th)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
	16.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (.f64 (fma.f64 (/.f64 (.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))

Compiler

Compiled 1 809 to 1 524 computations (15.8% saved)

series55.0ms (1.5%)

Memory

-24.8MiB live, 116.9MiB allocated; 17ms collecting garbage

Counts

35 → 127

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

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

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	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) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* a1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/ (* a2 (cos th)) (sqrt 2)) (* a2 (cos th)))
8.0ms	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) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* a1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/ (* a2 (cos th)) (sqrt 2)) (* a2 (cos th)))
6.0ms	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) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* a1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/ (* a2 (cos th)) (sqrt 2)) (* a2 (cos th)))
5.0ms	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) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* a1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/ (* a2 (cos th)) (sqrt 2)) (* a2 (cos th)))
5.0ms	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) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* a1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/ (* a2 (cos th)) (sqrt 2)) (* a2 (cos th)))

rewrite204.0ms (5.6%)

Memory

43.9MiB live, 277.8MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	461	4851
0	498	4371
1	2643	4362
0	8567	4268

Stop Event

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

Counts

162 → 364

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

eval40.0ms (1.1%)

Memory: 5.4MiB live, 97.5MiB allocated; 7ms collecting garbage
Compiler: Compiled 5 342 to 1 763 computations (67% saved)

prune43.0ms (1.2%)

Memory

-25.5MiB live, 72.3MiB allocated; 12ms collecting garbage

Pruning

42 alts after pruning (32 fresh and 10 done)

	Pruned	Kept	Total
New	341	11	352
Fresh	8	21	29
Picked	0	5	5
Done	0	5	5
Total	349	42	391

Accuracy

100.0%

Counts

391 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	17.5%	(/.f64 (.f64 (cos.f64 th) #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
	65.0%	(/.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))) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
✓	98.5%	(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
	17.5%	(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)))
	67.6%	(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 #s(approx ( (cos th) a2) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
	65.9%	(.f64 (/.f64 #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)))
	16.1%	(.f64 (/.f64 #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)))
	66.7%	(.f64 (/.f64 #s(approx (cos th) (fma.f64 (exp.f64 (.f64 (log.f64 th) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
	68.3%	(.f64 (/.f64 #s(approx (cos th) #s(approx (+ ( (* th th) -1/2) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
✓	99.6%	(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
	17.5%	(.f64 (cos.f64 th) (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
	98.4%	(.f64 (cos.f64 th) #s(approx (/ (+ ( a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
	66.8%	(.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))) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
	98.4%	#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (.f64 (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	99.5%	#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 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)))
	17.5%	#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
	68.3%	#s(approx (/ (+ (* (* (* (cos th) a1) a1) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a2) a2))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
	17.5%	#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
✓	15.2%	#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
✓	36.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
	12.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
	36.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 #s(approx (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 a1 a1) (/.f64 th (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a2 a2) (/.f64 th (sqrt.f64 #s(literal 2 binary64))))))) th (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
	68.2%	#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))))))
✓	68.4%	#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))))
	98.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
✓	99.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))
	68.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))
✓	68.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))
	3.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (/.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))
	67.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))
	3.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) #s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (/.f64 (.f64 a1 a1) (.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))) a2) a2))
	31.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) #s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) (.f64 a1 a1)))) a2) a2))
✓	98.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))) a2))
	66.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (.f64 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)))) a2))
	67.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* a2 (cos th)) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
	15.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (pow.f64 (exp.f64 (log.f64 a1)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
✓	15.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
	15.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
	29.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (.f64 a1 a1) (/.f64 (+.f64 (/.f64 (.f64 a2 a2) (.f64 a1 a1)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
	52.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (fma.f64 (/.f64 (.f64 (.f64 a2 th) (.f64 a2 th)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
	16.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (.f64 (fma.f64 (/.f64 (.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))

Compiler

Compiled 2 045 to 1 263 computations (38.2% saved)

regimes220.0ms (6%)

Memory

-10.5MiB live, 267.8MiB allocated; 32ms collecting garbage

Counts

72 → 1

Calls

Call 1

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

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

Calls

8 calls:

69.0ms	(*.f64 a1 a1)
21.0ms	(+.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)))
20.0ms	a1
20.0ms	a2
19.0ms	(/.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 30 to 40 computations (-33.3% saved)

regimes176.0ms (4.8%)

Memory

13.4MiB live, 300.1MiB allocated; 80ms collecting garbage

Counts

61 → 1

Calls

Call 1

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

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

Calls

8 calls:

40.0ms	(cos.f64 th)
25.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
25.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
19.0ms	th
17.0ms	a1

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 30 to 40 computations (-33.3% saved)

regimes123.0ms (3.4%)

Memory

13.3MiB live, 202.8MiB allocated; 19ms collecting garbage

Counts

59 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

20.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
16.0ms	th
16.0ms	a1
15.0ms	a2
14.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
98.6%	1	`(*.f64 a2 a2)`
98.6%	1	`(*.f64 a1 a1)`
98.6%	1	`(cos.f64 th)`
98.6%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
98.6%	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)))`
98.6%	1	`a1`
98.6%	1	`a2`
98.6%	1	`th`

Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes92.0ms (2.5%)

Memory

17.8MiB live, 163.0MiB allocated; 9ms collecting garbage

Counts

45 → 2

Calls

Call 1

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

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

Calls

8 calls:

13.0ms	th
12.0ms	(cos.f64 th)
11.0ms	(+.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)))
11.0ms	a2
11.0ms	a1

Results

Accuracy	Segments	Branch
70.1%	2	`(*.f64 a2 a2)`
68.4%	1	`(*.f64 a1 a1)`
77.2%	2	`(cos.f64 th)`
77.2%	2	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
77.6%	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)))`
68.4%	1	`a1`
70.1%	2	`a2`
70.8%	2	`th`

Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes7.0ms (0.2%)

Memory

-33.3MiB live, 11.1MiB allocated; 4ms collecting garbage

Counts

16 → 2

Calls

Call 1

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

Outputs

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

1 calls:

6.0ms

(+.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
77.5%	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 16 to 12 computations (25% saved)

regimes27.0ms (0.7%)

Memory

5.0MiB live, 50.0MiB allocated; 3ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

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

8 calls:

5.0ms	a1
3.0ms	a2
3.0ms	th
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)))
3.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
68.4%	1	`(*.f64 a1 a1)`
68.4%	1	`a1`
68.4%	1	`(*.f64 a2 a2)`
68.4%	1	`a2`
68.4%	1	`th`
68.4%	1	`(cos.f64 th)`
68.4%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
68.4%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`

Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes17.0ms (0.5%)

Memory

29.4MiB live, 29.4MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
67.6%	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)))`
67.6%	1	`th`
67.6%	1	`(cos.f64 th)`
67.6%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
67.6%	1	`(*.f64 a2 a2)`
67.6%	1	`(*.f64 a1 a1)`
67.6%	1	`a1`
67.6%	1	`a2`

Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes11.0ms (0.3%)

Memory

-13.6MiB live, 32.8MiB allocated; 2ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

8 calls:

2.0ms	a2
1.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
1.0ms	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)))

Results

Accuracy	Segments	Branch
67.6%	1	`th`
67.6%	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)))`
67.6%	1	`(*.f64 a2 a2)`
67.6%	1	`(cos.f64 th)`
67.6%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
67.6%	1	`a2`
67.6%	1	`(*.f64 a1 a1)`
67.6%	1	`a1`

Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes8.0ms (0.2%)

Memory

17.4MiB live, 17.4MiB allocated; 0ms 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))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
15.2%	1	`th`
15.2%	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)))`
15.2%	1	`(*.f64 a2 a2)`
15.2%	1	`(cos.f64 th)`
15.2%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
15.2%	1	`a2`
15.2%	1	`(*.f64 a1 a1)`
15.2%	1	`a1`

Compiler

Compiled 30 to 40 computations (-33.3% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.082462251905784e-205	-7.808614065732685e-206

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.082462251905784e-205	-7.808614065732685e-206

Compiler

Compiled 19 to 18 computations (5.3% saved)

derivations239.0ms (6.6%)

Memory

-18.1MiB live, 225.8MiB allocated; 38ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 135 to 74 computations (45.2% saved)

preprocess138.0ms (3.8%)

Memory

8.7MiB live, 292.4MiB allocated; 19ms collecting garbage

Remove

(sort a1 a2)

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 3 949 to 2 818 computations (28.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (28.7%)

preprocess63.0ms (1.7%)

series19.0ms (0.5%)

rewrite223.0ms (6.1%)

eval18.0ms (0.5%)

prune11.0ms (0.3%)

series49.0ms (1.3%)

rewrite193.0ms (5.3%)

eval99.0ms (2.7%)

prune42.0ms (1.1%)

series145.0ms (4%)

rewrite201.0ms (5.5%)

eval88.0ms (2.4%)

prune46.0ms (1.3%)

series55.0ms (1.5%)

rewrite204.0ms (5.6%)

eval40.0ms (1.1%)

prune43.0ms (1.2%)

regimes220.0ms (6%)

regimes176.0ms (4.8%)

regimes123.0ms (3.4%)

regimes92.0ms (2.5%)

regimes7.0ms (0.2%)

regimes27.0ms (0.7%)

regimes17.0ms (0.5%)

regimes11.0ms (0.3%)

regimes8.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

derivations239.0ms (6.6%)

preprocess138.0ms (3.8%)

end0.0ms (0%)

Profiling