Metrics for Migdal et al, Equation (64)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample1.1s (20.2%)

Memory

19.4MiB live, 1 562.0MiB allocated; 381ms collecting garbage

Samples

808.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 548.0ms

ival-cos: 293.0ms (53.4% of total)

ival-mult!: 195.0ms (35.6% of total)

ival-div!: 42.0ms (7.7% of total)

ival-add!: 16.0ms (2.9% of total)

adjust: 2.0ms (0.4% of total)

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

Bogosity

preprocess52.0ms (1%)

Memory

-39.9MiB live, 63.1MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	133
1	202	133
2	975	133
3	4767	133

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(abs a1)

(abs a2)

(abs th)

(sort a1 a2)

Compiler

Compiled 32 to 24 computations (25% saved)

series21.0ms (0.4%)

Memory

-1.7MiB live, 44.7MiB allocated; 2ms collecting garbage

Counts

12 → 32

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)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (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)
3.0ms	a1	@	0	((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) th (sqrt 2) 2 (* a1 a1) a1 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* a2 a2) a2)
2.0ms	th	@	inf	((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) th (sqrt 2) 2 (* a1 a1) a1 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* a2 a2) a2)
2.0ms	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)

rewrite222.0ms (4.1%)

Memory

18.4MiB live, 248.1MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	968
0	170	848
1	631	808
2	3686	796
0	8640	748

Stop Event

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

Counts

44 → 253

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)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (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) (fma.f64 a2 a2 (*.f64 a1 a1))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (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)))) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.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 (.f64 (.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal -1 binary64)) (neg.f64 (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)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) (.f64 (neg.f64 a2) a2)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (cos.f64 th) a2) a2))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.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 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 1 binary64)) (neg.f64 (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 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 (cos.f64 th) (.f64 (neg.f64 a1) a1))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (.f64 (cos.f64 th) (.f64 (neg.f64 a2) a2))))) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 (cos.f64 th) (.f64 (neg.f64 a1) a1))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (.f64 (neg.f64 a2) a2)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 (cos.f64 th) (.f64 (neg.f64 a1) a1))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (cos.f64 th) (.f64 (neg.f64 a2) a2)))) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 (cos.f64 th) (.f64 (neg.f64 a1) a1))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (cos.f64 th) a2) a2))) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (.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))) (neg.f64 (.f64 (cos.f64 th) (.f64 (neg.f64 a2) a2))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 th) (.f64 (neg.f64 a1) a1)) (neg.f64 (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)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
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(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 th)))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (*.f64 (cos.f64 th) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (cos.f64 th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (cos.f64 th))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (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 (neg.f64 th)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 th)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 th) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 th) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) th))
(fma.f64 (sin.f64 (neg.f64 th)) #s(literal 0 binary64) (*.f64 (cos.f64 th) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (fabs.f64 th)) #s(literal 0 binary64) (*.f64 (cos.f64 th) #s(literal 1 binary64)))
(fma.f64 (sin.f64 th) #s(literal 0 binary64) (*.f64 (cos.f64 th) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 th) (*.f64 #s(literal 0 binary64) (sin.f64 th)))
(-.f64 (.f64 (sin.f64 th) #s(literal 0 binary64)) (.f64 (cos.f64 th) (sin.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 th))))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 th))))
(cos.f64 (neg.f64 (neg.f64 th)))
(cos.f64 (neg.f64 (fabs.f64 th)))
(cos.f64 (neg.f64 th))
(cos.f64 (fabs.f64 th))
(cos.f64 th)
(+.f64 (.f64 (sin.f64 (neg.f64 th)) #s(literal 0 binary64)) (.f64 (cos.f64 th) #s(literal 1 binary64)))
(+.f64 (.f64 (sin.f64 (fabs.f64 th)) #s(literal 0 binary64)) (.f64 (cos.f64 th) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 th)) (.f64 #s(literal 0 binary64) (sin.f64 th)))
(+.f64 (.f64 (sin.f64 th) #s(literal 0 binary64)) (.f64 (cos.f64 th) #s(literal 1 binary64)))
th
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(fabs.f64 (sqrt.f64 #s(literal 2 binary64)))
#s(literal 2 binary64)
(*.f64 (neg.f64 (neg.f64 (fabs.f64 a1))) (neg.f64 (neg.f64 (fabs.f64 a1))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 a1))) (neg.f64 (neg.f64 (neg.f64 a1))))
(*.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)))
(*.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a1)))
(*.f64 (fabs.f64 a1) (fabs.f64 a1))
(*.f64 (neg.f64 a1) (neg.f64 a1))
(*.f64 a1 a1)
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 a1))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (neg.f64 a1))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 a1 a1) (*.f64 a1 a1)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 a1)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 a1)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a1) #s(literal 2 binary64))
(pow.f64 (neg.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))
(sqrt.f64 (.f64 (.f64 a1 a1) (*.f64 a1 a1)))
(fabs.f64 (*.f64 (neg.f64 a1) a1))
(fabs.f64 (*.f64 a1 a1))
a1
(.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))) (neg.f64 a2)) (neg.f64 a2))
(.f64 (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2)
(.f64 (.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fabs.f64 a2) (.f64 (fabs.f64 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (neg.f64 a2) (.f64 (neg.f64 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (cos.f64 th) a2) a2))
(.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
(.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 a2 (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal -1 binary64))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (.f64 (cos.f64 th) (.f64 (neg.f64 a2) a2)))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.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))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 a2))) (neg.f64 (neg.f64 (fabs.f64 a2))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 a2))) (neg.f64 (neg.f64 (neg.f64 a2))))
(*.f64 (neg.f64 (fabs.f64 a2)) (neg.f64 (fabs.f64 a2)))
(*.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a2)))
(*.f64 (fabs.f64 a2) (fabs.f64 a2))
(*.f64 (neg.f64 a2) (neg.f64 a2))
(*.f64 a2 a2)
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 a2))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (neg.f64 a2))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 a2 a2) (*.f64 a2 a2)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 a2)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 a2)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a2) #s(literal 2 binary64))
(pow.f64 (neg.f64 a2) #s(literal 2 binary64))
(pow.f64 (*.f64 a2 a2) #s(literal 1 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 a2) a2))
(sqrt.f64 (.f64 (.f64 a2 a2) (*.f64 a2 a2)))
(fabs.f64 (*.f64 (neg.f64 a2) a2))
(fabs.f64 (*.f64 a2 a2))
a2
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) 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 a2 a2 (.f64 a1 a1))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 (/.f64 (.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1))
#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 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) a1) a1))
#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 a1 (/.f64 a1 (.f64 a2 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 (.f64 #s(literal -1/2 binary64) (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 (.f64 #s(literal 1/24 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) th) th (/.f64 (.f64 #s(literal -1/2 binary64) (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 (.f64 #s(literal -1/720 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) th) th (/.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 #s(literal -1/2 binary64) (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 a1 (/.f64 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 a1 (/.f64 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 a1 a1) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))) th) th (.f64 a1 (/.f64 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 (fma.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 #s(literal -1/2 binary64) (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 a2 (/.f64 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 a2 (/.f64 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 a2 a2) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))) th) th (.f64 a2 (/.f64 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))

eval33.0ms (0.6%)

Memory: 7.0MiB live, 65.6MiB allocated; 13ms collecting garbage
Compiler: Compiled 2 858 to 857 computations (70% saved)

prune16.0ms (0.3%)

Memory

-8.9MiB live, 37.7MiB allocated; 2ms collecting garbage

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	224	18	242
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	225	18	243

Accuracy

100.0%

Counts

243 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2))
	99.6%	(fma.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1))
▶	99.6%	(fma.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2))
	99.6%	(/.f64 (-.f64 (.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 (.f64 (cos.f64 th) a2) a2))) #s(literal 2 binary64))
	99.6%	(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
▶	99.6%	(+.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
	99.6%	(+.f64 (.f64 (/.f64 (cos.f64 th) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (.f64 a2 a2)))
	59.6%	(+.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)))
	67.6%	(+.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)))
▶	98.4%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
	99.6%	(.f64 (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)))) #s(literal 1/2 binary64))
	99.6%	(.f64 (/.f64 (cos.f64 th) (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))))
	32.9%	#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 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)))))
▶	67.7%	#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))))
▶	99.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2))
	64.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) a1) a1))
	94.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))

Compiler

Compiled 676 to 566 computations (16.3% saved)

series28.0ms (0.5%)

Memory

22.2MiB live, 68.3MiB allocated; 3ms collecting garbage

Counts

26 → 55

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	a2	@	inf	((+ (* (cos th) (* a1 (/ a1 (sqrt 2)))) (* (/ (* (cos th) a2) (sqrt 2)) a2)) (cos th) th (* a1 (/ a1 (sqrt 2))) a1 (/ a1 (sqrt 2)) (sqrt 2) 2 (* (/ (* (cos th) a2) (sqrt 2)) a2) (/ (* (cos th) a2) (sqrt 2)) (* (cos th) a2) a2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/ (cos th) (sqrt 2)) (* a2 a2) (+ (/ (* (* (cos th) a1) a1) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* (cos th) a1) a1) (sqrt 2)) (* (* (cos th) a1) a1) (* (cos th) a1))
3.0ms	a1	@	inf	((+ (* (cos th) (* a1 (/ a1 (sqrt 2)))) (* (/ (* (cos th) a2) (sqrt 2)) a2)) (cos th) th (* a1 (/ a1 (sqrt 2))) a1 (/ a1 (sqrt 2)) (sqrt 2) 2 (* (/ (* (cos th) a2) (sqrt 2)) a2) (/ (* (cos th) a2) (sqrt 2)) (* (cos th) a2) a2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/ (cos th) (sqrt 2)) (* a2 a2) (+ (/ (* (* (cos th) a1) a1) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* (cos th) a1) a1) (sqrt 2)) (* (* (cos th) a1) a1) (* (cos th) a1))
3.0ms	a1	@	-inf	((+ (* (cos th) (* a1 (/ a1 (sqrt 2)))) (* (/ (* (cos th) a2) (sqrt 2)) a2)) (cos th) th (* a1 (/ a1 (sqrt 2))) a1 (/ a1 (sqrt 2)) (sqrt 2) 2 (* (/ (* (cos th) a2) (sqrt 2)) a2) (/ (* (cos th) a2) (sqrt 2)) (* (cos th) a2) a2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/ (cos th) (sqrt 2)) (* a2 a2) (+ (/ (* (* (cos th) a1) a1) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* (cos th) a1) a1) (sqrt 2)) (* (* (cos th) a1) a1) (* (cos th) a1))
3.0ms	a2	@	-inf	((+ (* (cos th) (* a1 (/ a1 (sqrt 2)))) (* (/ (* (cos th) a2) (sqrt 2)) a2)) (cos th) th (* a1 (/ a1 (sqrt 2))) a1 (/ a1 (sqrt 2)) (sqrt 2) 2 (* (/ (* (cos th) a2) (sqrt 2)) a2) (/ (* (cos th) a2) (sqrt 2)) (* (cos th) a2) a2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/ (cos th) (sqrt 2)) (* a2 a2) (+ (/ (* (* (cos th) a1) a1) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* (cos th) a1) a1) (sqrt 2)) (* (* (cos th) a1) a1) (* (cos th) a1))
3.0ms	a1	@	0	((+ (* (cos th) (* a1 (/ a1 (sqrt 2)))) (* (/ (* (cos th) a2) (sqrt 2)) a2)) (cos th) th (* a1 (/ a1 (sqrt 2))) a1 (/ a1 (sqrt 2)) (sqrt 2) 2 (* (/ (* (cos th) a2) (sqrt 2)) a2) (/ (* (cos th) a2) (sqrt 2)) (* (cos th) a2) a2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/ (cos th) (sqrt 2)) (* a2 a2) (+ (/ (* (* (cos th) a1) a1) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* (cos th) a1) a1) (sqrt 2)) (* (* (cos th) a1) a1) (* (cos th) a1))

rewrite229.0ms (4.2%)

Memory

6.8MiB live, 284.6MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	280	1627
0	322	1466
1	1131	1377
2	6021	1364
0	8018	1312

Stop Event

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

Counts

81 → 852

Calls

Call 1

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

Outputs
(.f64 (.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (fabs.f64 a1)) (fabs.f64 a1))
(.f64 (.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 a1)) (neg.f64 a1))
(.f64 (.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) a1) a1)
(.f64 (.f64 (.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (fabs.f64 a2)) (fabs.f64 a2))
(.f64 (.f64 (.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 a2)) (neg.f64 a2))
(.f64 (.f64 (.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) a2) a2)
(.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 (fabs.f64 a2) (.f64 (fabs.f64 a2) (.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (fabs.f64 a1) (.f64 (fabs.f64 a1) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (neg.f64 a2) (.f64 (neg.f64 a2) (.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (neg.f64 a1) (.f64 (neg.f64 a1) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a2))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1))
(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 a1 a1) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 a2 a2) (.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 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 a2 a2 (.f64 a1 a1)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 a2 (.f64 a2 (.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 a1 (.f64 a1 (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (.f64 (.f64 a1 a1) (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))))) (.f64 #s(literal 2 binary64) (*.f64 a1 a1)))
(/.f64 (.f64 (.f64 a2 a2) (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))))) (.f64 #s(literal 2 binary64) (*.f64 a2 a2)))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (fma.f64 a2 a2 (.f64 a1 a1))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (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)))) (.f64 a1 a1)) (.f64 #s(literal 2 binary64) (*.f64 a1 a1)))
(/.f64 (.f64 (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)))) (.f64 a2 a2)) (.f64 #s(literal 2 binary64) (*.f64 a2 a2)))
(/.f64 (/.f64 (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)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (cos.f64 th)) (.f64 a2 a2) (.f64 (neg.f64 a1) (*.f64 (cos.f64 th) a1))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (neg.f64 a1) (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2))) (neg.f64 (sqrt.f64 #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 (neg.f64 a1) (*.f64 (cos.f64 th) 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 (neg.f64 a1) (.f64 (cos.f64 th) a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (neg.f64 a1) (.f64 (cos.f64 th) 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 (neg.f64 a1) (.f64 (cos.f64 th) 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 (neg.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -2 binary64))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 (.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)))) #s(literal 2 binary64))
(neg.f64 (-.f64 (.f64 (neg.f64 a2) (.f64 (/.f64 a2 (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 (.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (fabs.f64 a1)) (fabs.f64 a1) (.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (neg.f64 a1)) (neg.f64 a1) (.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) a1) a1 (.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (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 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #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 (cos.f64 th) a2) (/.f64 a2 (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 (cos.f64 th) a1) (/.f64 a1 (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 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (fabs.f64 a2)) (fabs.f64 a2) (.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (neg.f64 a2)) (neg.f64 a2) (.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) a2) a2 (.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 (cos.f64 th) a2) a2)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (.f64 (.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (.f64 a2 a2) (.f64 (.f64 (cos.f64 th) a1) a1)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1 (.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (neg.f64 a1) (.f64 (cos.f64 th) a1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (cos.f64 th) (.f64 (neg.f64 a2) a2)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (fabs.f64 a2) (.f64 (fabs.f64 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (fabs.f64 a2) (.f64 (fabs.f64 a2) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))) (.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (fabs.f64 a1) (.f64 (fabs.f64 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (fabs.f64 a1) (.f64 (fabs.f64 a1) (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))) (.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (neg.f64 a2) (.f64 (neg.f64 a2) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))) (.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (neg.f64 a2) (.f64 (neg.f64 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (neg.f64 a1) (.f64 (neg.f64 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (neg.f64 a1) (.f64 (neg.f64 a1) (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))) (.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 a1 (/.f64 a1 (.f64 a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (.f64 a2 a2) (.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 a2 (/.f64 a2 (.f64 a1 a1))) (.f64 (.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (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)))))
(fma.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (.f64 a1 a1) (.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 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th) (.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (.f64 a2 a2)) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 a1 a1) (.f64 (/.f64 (cos.f64 th) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (.f64 a2 a2)) (.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 a1 a1) (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (.f64 a1 a1)) (.f64 (.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (/.f64 #s(literal 1 binary64) (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 (/.f64 (cos.f64 th) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (.f64 a1 a1)) (.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 a2 a2) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2 (.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) a1) (.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1) (.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2) (.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 a2 (.f64 a2 (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))) (.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 a2 (.f64 (/.f64 a2 (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 a1 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 a1 (.f64 (.f64 (cos.f64 th) a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 a1 (.f64 a1 (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))) (.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 a1 (.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 a2) a2) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))))
(-.f64 (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 (neg.f64 a1) (.f64 (cos.f64 th) a1)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (.f64 a2 a2)))
(-.f64 (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) a1))
(-.f64 (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (.f64 (cos.f64 th) a1)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 th)))
(-.f64 (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 a1) (*.f64 (cos.f64 th) a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (.f64 (.f64 (cos.f64 th) a2) (/.f64 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 (cos.f64 th) a2) (/.f64 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 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (cos.f64 th)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
(-.f64 (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (.f64 (.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (.f64 (.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 a1) a1) (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))))
(-.f64 (.f64 (.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 (neg.f64 a1) a1) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1)))
(-.f64 (.f64 (.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 a2) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))))
(+.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 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (neg.f64 th)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 th)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 th) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 th) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) th))
(fma.f64 (sin.f64 (neg.f64 th)) #s(literal 0 binary64) (*.f64 (cos.f64 th) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (fabs.f64 th)) #s(literal 0 binary64) (*.f64 (cos.f64 th) #s(literal 1 binary64)))
(fma.f64 (sin.f64 th) #s(literal 0 binary64) (*.f64 (cos.f64 th) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 th) (*.f64 #s(literal 0 binary64) (sin.f64 th)))
(-.f64 (.f64 (sin.f64 th) #s(literal 0 binary64)) (.f64 (cos.f64 th) (sin.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 th))))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 th))))
(cos.f64 (neg.f64 (neg.f64 th)))
(cos.f64 (neg.f64 (fabs.f64 th)))
(cos.f64 (neg.f64 th))
(cos.f64 (fabs.f64 th))
(cos.f64 th)
(+.f64 (.f64 (sin.f64 (neg.f64 th)) #s(literal 0 binary64)) (.f64 (cos.f64 th) #s(literal 1 binary64)))
(+.f64 (.f64 (sin.f64 (fabs.f64 th)) #s(literal 0 binary64)) (.f64 (cos.f64 th) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 th)) (.f64 #s(literal 0 binary64) (sin.f64 th)))
(+.f64 (.f64 (sin.f64 th) #s(literal 0 binary64)) (.f64 (cos.f64 th) #s(literal 1 binary64)))
th
(.f64 (fabs.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fabs.f64 a1))) (fabs.f64 a1))
(.f64 (fabs.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 a1))) (fabs.f64 a1))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fabs.f64 a1)) (fabs.f64 a1))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 a1)) (neg.f64 a1))
(.f64 (.f64 (/.f64 (.f64 a1 a1) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (fabs.f64 a2)) (fabs.f64 a2))
(.f64 (.f64 (/.f64 (.f64 a1 a1) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (neg.f64 a2)) (neg.f64 a2))
(.f64 (.f64 (/.f64 (.f64 a1 a1) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) a2) a2)
(.f64 (.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))
(*.f64 (/.f64 (fabs.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (fabs.f64 a1))
(.f64 (.f64 (neg.f64 a1) a1) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fabs.f64 a2) (.f64 (fabs.f64 a2) (/.f64 (.f64 a1 a1) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))))
(.f64 (fabs.f64 a1) (fabs.f64 (.f64 (fabs.f64 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (fabs.f64 a1) (fabs.f64 (/.f64 (fabs.f64 a1) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (fabs.f64 a1) (fabs.f64 (.f64 (neg.f64 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (fabs.f64 a1) (.f64 (fabs.f64 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (fabs.f64 a1) (/.f64 (fabs.f64 a1) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (neg.f64 a2) (.f64 (neg.f64 a2) (/.f64 (.f64 a1 a1) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))))
(.f64 (neg.f64 a1) (.f64 (neg.f64 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (neg.f64 a1) (/.f64 (neg.f64 a1) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 a1 a1) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (*.f64 a2 a2))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(.f64 (.f64 a1 a1) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (.f64 a2 a2)))
(.f64 (.f64 a1 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 a2 a2) (/.f64 (.f64 a1 a1) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(.f64 a2 (.f64 a2 (/.f64 (.f64 a1 a1) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fabs.f64 (.f64 (.f64 a1 a1) #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fabs.f64 (.f64 #s(literal -1 binary64) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 a1 a1) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 a2 a2) (.f64 (neg.f64 a1) a1)) (.f64 (*.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))
(/.f64 (.f64 (.f64 (neg.f64 a1) a1) (.f64 a2 a2)) (.f64 (*.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))
(/.f64 (*.f64 (neg.f64 a1) a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 a1 a1) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (*.f64 (neg.f64 a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 (.f64 (.f64 a1 a1) (*.f64 a1 a1)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (neg.f64 a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
a1
(.f64 (.f64 a1 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 a1) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1)
(*.f64 a1 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 a1 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 a1 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 a1 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(fabs.f64 (sqrt.f64 #s(literal 2 binary64)))
#s(literal 2 binary64)
(.f64 (.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (fabs.f64 a1)) (fabs.f64 a1))
(.f64 (.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (neg.f64 a1)) (neg.f64 a1))
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(fma.f64 (neg.f64 a1) (.f64 (neg.f64 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 (neg.f64 a1) (.f64 (neg.f64 a1) (/.f64 (.f64 a2 a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.f64 (neg.f64 a1) (/.f64 (neg.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.f64 (/.f64 (.f64 a1 a1) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (.f64 a2 a2) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 (/.f64 (.f64 a2 a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (.f64 a1 a1) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 (.f64 a1 a1) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (.f64 a2 a2)) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 (.f64 a1 a1) (/.f64 (.f64 a2 a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.f64 (.f64 a1 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 (.f64 a2 a2) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (.f64 a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.f64 (.f64 a2 a2) (/.f64 (.f64 a1 a1) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 (.f64 a2 a2) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 a2 (.f64 a2 (/.f64 (.f64 a1 a1) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.f64 a1 (.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(-.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (.f64 (/.f64 (.f64 (neg.f64 a1) a1) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (.f64 a2 a2)))
(-.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (.f64 (.f64 (neg.f64 a2) a2) (/.f64 (.f64 a1 a1) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))))
(-.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (.f64 (neg.f64 a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (.f64 (/.f64 (.f64 (neg.f64 a2) a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (.f64 a1 a1)))
(-.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (.f64 (.f64 (neg.f64 a1) a1) (/.f64 (.f64 a2 a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))))
(-.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (/.f64 (.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 2 binary64)))
(+.f64 (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(+.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(.f64 (.f64 (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) (fabs.f64 a2)) (fabs.f64 a2))
(.f64 (.f64 (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) (neg.f64 a2)) (neg.f64 a2))
(.f64 (.f64 (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) a2) a2)
(.f64 (.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (fabs.f64 a1)) (fabs.f64 a1))
(.f64 (.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (neg.f64 a1)) (neg.f64 a1))
(.f64 (.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) a1) a1)
(.f64 (fabs.f64 a2) (.f64 (fabs.f64 a2) (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64))))
(.f64 (fabs.f64 a1) (.f64 (fabs.f64 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))))
(.f64 (neg.f64 a2) (.f64 (neg.f64 a2) (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64))))
(.f64 (neg.f64 a1) (.f64 (neg.f64 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))))
(.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (*.f64 a2 a2))
(.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))
(.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))
(.f64 (.f64 a2 a2) (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)))
(.f64 a2 (.f64 a2 (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64))))
(.f64 a1 (.f64 a1 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))))
(neg.f64 (neg.f64 (fma.f64 a2 a2 (*.f64 a1 a1))))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 a2))) (neg.f64 (neg.f64 (fabs.f64 a2))) (*.f64 (neg.f64 (neg.f64 a1)) a1))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 a2))) (neg.f64 (neg.f64 (fabs.f64 a2))) (*.f64 a1 a1))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 a2))) (neg.f64 (neg.f64 (neg.f64 a2))) (*.f64 (neg.f64 (neg.f64 a1)) a1))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 a2))) (neg.f64 (neg.f64 (neg.f64 a2))) (*.f64 a1 a1))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 a1))) (neg.f64 (neg.f64 (fabs.f64 a1))) (*.f64 a2 a2))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 a1))) (neg.f64 (neg.f64 (neg.f64 a1))) (*.f64 a2 a2))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 a1)) (neg.f64 a1) (.f64 a2 a2))
(fma.f64 (.f64 (.f64 a1 (/.f64 a1 (.f64 a2 a2))) (fabs.f64 a2)) (fabs.f64 a2) (.f64 a2 a2))
(fma.f64 (.f64 (.f64 a1 (/.f64 a1 (.f64 a2 a2))) (neg.f64 a2)) (neg.f64 a2) (.f64 a2 a2))
(fma.f64 (.f64 (.f64 a1 (/.f64 a1 (.f64 a2 a2))) a2) a2 (.f64 a2 a2))
(fma.f64 (.f64 (.f64 a2 (/.f64 a2 (.f64 a1 a1))) (fabs.f64 a1)) (fabs.f64 a1) (.f64 (neg.f64 (neg.f64 a1)) a1))
(fma.f64 (.f64 (.f64 a2 (/.f64 a2 (.f64 a1 a1))) (fabs.f64 a1)) (fabs.f64 a1) (.f64 a1 a1))
(fma.f64 (.f64 (.f64 a2 (/.f64 a2 (.f64 a1 a1))) (neg.f64 a1)) (neg.f64 a1) (.f64 (neg.f64 (neg.f64 a1)) a1))
(fma.f64 (.f64 (.f64 a2 (/.f64 a2 (.f64 a1 a1))) (neg.f64 a1)) (neg.f64 a1) (.f64 a1 a1))
(fma.f64 (.f64 (.f64 a2 (/.f64 a2 (.f64 a1 a1))) a1) a1 (.f64 (neg.f64 (neg.f64 a1)) a1))
(fma.f64 (.f64 (.f64 a2 (/.f64 a2 (.f64 a1 a1))) a1) a1 (.f64 a1 a1))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 a2)) (neg.f64 a2) (.f64 (neg.f64 (neg.f64 a1)) a1))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 a2)) (neg.f64 a2) (.f64 a1 a1))
(fma.f64 (.f64 #s(literal 1 binary64) a1) a1 (.f64 a2 a2))
(fma.f64 (.f64 #s(literal 1 binary64) a2) a2 (.f64 (neg.f64 (neg.f64 a1)) a1))
(fma.f64 (.f64 #s(literal 1 binary64) a2) a2 (.f64 a1 a1))
(fma.f64 (.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (.f64 a2 a2)) (*.f64 a2 a2))
(fma.f64 (.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) (*.f64 (neg.f64 (neg.f64 a1)) a1))
(fma.f64 (.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) (*.f64 a1 a1))
(fma.f64 (neg.f64 (fabs.f64 a2)) (neg.f64 (fabs.f64 a2)) (*.f64 (neg.f64 (neg.f64 a1)) a1))
(fma.f64 (neg.f64 (fabs.f64 a2)) (neg.f64 (fabs.f64 a2)) (*.f64 a1 a1))
(fma.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a2)) (*.f64 (neg.f64 (neg.f64 a1)) a1))
(fma.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a2)) (*.f64 a1 a1))
(fma.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)) (*.f64 a2 a2))
(fma.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a1)) (*.f64 a2 a2))
(fma.f64 (fabs.f64 a2) (.f64 (fabs.f64 a2) (.f64 a1 (/.f64 a1 (.f64 a2 a2)))) (.f64 a2 a2))
(fma.f64 (fabs.f64 a2) (fabs.f64 a2) (*.f64 (neg.f64 (neg.f64 a1)) a1))
(fma.f64 (fabs.f64 a2) (fabs.f64 a2) (*.f64 a1 a1))
(fma.f64 (fabs.f64 a1) (.f64 (fabs.f64 a1) (.f64 a2 (/.f64 a2 (.f64 a1 a1)))) (.f64 (neg.f64 (neg.f64 a1)) a1))
(fma.f64 (fabs.f64 a1) (.f64 (fabs.f64 a1) (.f64 a2 (/.f64 a2 (.f64 a1 a1)))) (.f64 a1 a1))
(fma.f64 (fabs.f64 a1) (fabs.f64 a1) (*.f64 a2 a2))
(fma.f64 (neg.f64 a2) (.f64 (neg.f64 a2) (.f64 a1 (/.f64 a1 (.f64 a2 a2)))) (.f64 a2 a2))
(fma.f64 (neg.f64 a2) (.f64 (neg.f64 a2) #s(literal 1 binary64)) (.f64 (neg.f64 (neg.f64 a1)) a1))
(fma.f64 (neg.f64 a2) (.f64 (neg.f64 a2) #s(literal 1 binary64)) (.f64 a1 a1))
(fma.f64 (neg.f64 a2) (neg.f64 a2) (*.f64 (neg.f64 (neg.f64 a1)) a1))
(fma.f64 (neg.f64 a2) (neg.f64 a2) (*.f64 a1 a1))
(fma.f64 (neg.f64 a1) (.f64 (neg.f64 a1) (.f64 a2 (/.f64 a2 (.f64 a1 a1)))) (.f64 (neg.f64 (neg.f64 a1)) a1))
(fma.f64 (neg.f64 a1) (.f64 (neg.f64 a1) (.f64 a2 (/.f64 a2 (.f64 a1 a1)))) (.f64 a1 a1))
(fma.f64 (neg.f64 a1) (.f64 (neg.f64 a1) #s(literal 1 binary64)) (.f64 a2 a2))
(fma.f64 (neg.f64 a1) (neg.f64 a1) (*.f64 a2 a2))
(fma.f64 (.f64 a1 (/.f64 a1 (.f64 a2 a2))) (.f64 a2 a2) (.f64 a2 a2))
(fma.f64 (.f64 a2 (/.f64 a2 (.f64 a1 a1))) (.f64 a1 a1) (.f64 (neg.f64 (neg.f64 a1)) a1))
(fma.f64 (.f64 a2 (/.f64 a2 (.f64 a1 a1))) (.f64 a1 a1) (.f64 a1 a1))
(fma.f64 #s(literal 1 binary64) (.f64 a1 a1) (.f64 a2 a2))
(fma.f64 #s(literal 1 binary64) (.f64 a2 a2) (.f64 (neg.f64 (neg.f64 a1)) a1))
(fma.f64 #s(literal 1 binary64) (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 (.f64 a1 a1) (.f64 a2 (/.f64 a2 (.f64 a1 a1))) (.f64 (neg.f64 (neg.f64 a1)) a1))
(fma.f64 (.f64 a1 a1) (.f64 a2 (/.f64 a2 (.f64 a1 a1))) (.f64 a1 a1))
(fma.f64 (.f64 a1 a1) #s(literal 1 binary64) (.f64 a2 a2))
(fma.f64 (.f64 a2 a2) (.f64 a1 (/.f64 a1 (.f64 a2 a2))) (.f64 a2 a2))
(fma.f64 (.f64 a2 a2) #s(literal 1 binary64) (.f64 (neg.f64 (neg.f64 a1)) a1))
(fma.f64 (.f64 a2 a2) #s(literal 1 binary64) (.f64 a1 a1))
(fma.f64 a2 (.f64 a2 (.f64 a1 (/.f64 a1 (.f64 a2 a2)))) (.f64 a2 a2))
(fma.f64 a2 (.f64 a2 #s(literal 1 binary64)) (.f64 (neg.f64 (neg.f64 a1)) a1))
(fma.f64 a2 (.f64 a2 #s(literal 1 binary64)) (.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 (neg.f64 (neg.f64 a1)) a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 a1 (.f64 a1 (.f64 a2 (/.f64 a2 (.f64 a1 a1)))) (.f64 (neg.f64 (neg.f64 a1)) a1))
(fma.f64 a1 (.f64 a1 (.f64 a2 (/.f64 a2 (.f64 a1 a1)))) (.f64 a1 a1))
(fma.f64 a1 (.f64 a1 #s(literal 1 binary64)) (.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(-.f64 (.f64 a1 a1) (.f64 (.f64 (neg.f64 a1) a1) (.f64 a2 (/.f64 a2 (*.f64 a1 a1)))))
(-.f64 (.f64 a1 a1) (.f64 (/.f64 (.f64 (neg.f64 a2) a2) (.f64 a1 a1)) (*.f64 a1 a1)))
(-.f64 (.f64 a1 a1) (.f64 (neg.f64 a2) a2))
(-.f64 (.f64 a2 a2) (.f64 (.f64 (neg.f64 a2) a2) (.f64 a1 (/.f64 a1 (*.f64 a2 a2)))))
(-.f64 (.f64 a2 a2) (.f64 (/.f64 (.f64 (neg.f64 a1) a1) (.f64 a2 a2)) (*.f64 a2 a2)))
(-.f64 (.f64 a2 a2) (.f64 (neg.f64 a1) a1))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 (.f64 a2 a2) (.f64 (neg.f64 (neg.f64 a1)) a1))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 a1))) (neg.f64 (neg.f64 (fabs.f64 a1))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 a1))) (neg.f64 (neg.f64 (neg.f64 a1))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 a1)) (neg.f64 a1))
(.f64 (.f64 (.f64 a1 (/.f64 a1 (.f64 a2 a2))) (fabs.f64 a2)) (fabs.f64 a2))
(.f64 (.f64 (.f64 a1 (/.f64 a1 (.f64 a2 a2))) (neg.f64 a2)) (neg.f64 a2))
(.f64 (.f64 (.f64 a1 (/.f64 a1 (.f64 a2 a2))) a2) a2)
(.f64 (.f64 #s(literal 1 binary64) a1) a1)
(.f64 (.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)))
(*.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)))
(*.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a1)))
(.f64 (fabs.f64 a2) (.f64 (fabs.f64 a2) (.f64 a1 (/.f64 a1 (.f64 a2 a2)))))
(*.f64 (fabs.f64 a1) (fabs.f64 a1))
(.f64 (neg.f64 a2) (.f64 (neg.f64 a2) (.f64 a1 (/.f64 a1 (.f64 a2 a2)))))
(.f64 (neg.f64 a1) (.f64 (neg.f64 a1) #s(literal 1 binary64)))
(*.f64 (neg.f64 a1) (neg.f64 a1))
(.f64 (.f64 a1 (/.f64 a1 (.f64 a2 a2))) (.f64 a2 a2))
(.f64 #s(literal 1 binary64) (.f64 a1 a1))
(.f64 (.f64 a1 a1) #s(literal 1 binary64))
(.f64 (.f64 a2 a2) (.f64 a1 (/.f64 a1 (.f64 a2 a2))))
(.f64 a2 (.f64 a2 (.f64 a1 (/.f64 a1 (.f64 a2 a2)))))
(.f64 a1 (.f64 a1 #s(literal 1 binary64)))
(*.f64 a1 a1)
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 a1))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (neg.f64 a1))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 a1 a1) (*.f64 a1 a1)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 a1)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 a1)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a1) #s(literal 2 binary64))
(pow.f64 (neg.f64 a1) #s(literal 2 binary64))
(pow.f64 (*.f64 a1 a1) #s(literal 1 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(/.f64 (.f64 (.f64 a2 a2) (.f64 (neg.f64 a1) a1)) (.f64 (neg.f64 a2) a2))
(/.f64 (.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 a2 a2))
(/.f64 (.f64 (.f64 (neg.f64 a1) a1) (.f64 a2 a2)) (.f64 (neg.f64 a2) a2))
(/.f64 (.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 a2 a2))
(neg.f64 (*.f64 (neg.f64 a1) a1))
(sqrt.f64 (.f64 (.f64 a1 a1) (*.f64 a1 a1)))
(fabs.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 a1) a1)))
(fabs.f64 (.f64 (.f64 (neg.f64 a1) a1) #s(literal 1 binary64)))
(fabs.f64 (.f64 (.f64 a1 (/.f64 a1 (.f64 a2 a2))) (.f64 (neg.f64 a2) a2)))
(fabs.f64 (.f64 (.f64 (neg.f64 a2) a2) (.f64 a1 (/.f64 a1 (.f64 a2 a2)))))
(fabs.f64 (*.f64 (neg.f64 a1) a1))
(fabs.f64 (*.f64 a1 a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (-.f64 (.f64 (neg.f64 a2) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))) #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))))
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(fma.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
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(fma.f64 a1 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 a1 (.f64 (.f64 (cos.f64 th) a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 a1 (.f64 a1 (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))) (.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 a1 (.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 a2) a2) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))))
(-.f64 (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 (neg.f64 a1) (.f64 (cos.f64 th) a1)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (.f64 a2 a2)))
(-.f64 (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) a1))
(-.f64 (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (.f64 (cos.f64 th) a1)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 th)))
(-.f64 (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 a1) (*.f64 (cos.f64 th) a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (.f64 (.f64 (cos.f64 th) a2) (/.f64 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 (cos.f64 th) a2) (/.f64 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 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (cos.f64 th)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
(-.f64 (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (.f64 (.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (.f64 (.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 a1) a1) (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))))
(-.f64 (.f64 (.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 (neg.f64 a1) a1) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1)))
(-.f64 (.f64 (.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 a2) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))))
(+.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 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(.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))) (neg.f64 a1)) (neg.f64 a1))
(.f64 (.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (fabs.f64 a2)) (fabs.f64 a2))
(.f64 (.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (neg.f64 a2)) (neg.f64 a2))
(.f64 (.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) a2) a2)
(.f64 (.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (.f64 a2 a2) (.f64 (.f64 (cos.f64 th) a1) a1)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))
(.f64 (.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))
(.f64 (.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1)
(.f64 (.f64 (neg.f64 a1) (*.f64 (cos.f64 th) a1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fabs.f64 a2) (.f64 (fabs.f64 a2) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))))
(.f64 (fabs.f64 a1) (.f64 (fabs.f64 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (neg.f64 a2) (.f64 (neg.f64 a2) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))))
(.f64 (neg.f64 a1) (.f64 (neg.f64 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 a1 (/.f64 a1 (.f64 a2 a2))) (.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (.f64 a2 a2))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (cos.f64 th) a1) a1))
(.f64 (.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th))
(.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (*.f64 a2 a2)))
(.f64 (.f64 (*.f64 (cos.f64 th) a1) a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 a1 a1) (.f64 (/.f64 (cos.f64 th) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (.f64 a2 a2)))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 a2 a2) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))
(.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) a1))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
(.f64 (cos.f64 th) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(.f64 a2 (.f64 a2 (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))))
(.f64 a1 (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(.f64 a1 (.f64 (*.f64 (cos.f64 th) a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 a1 (.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 a2 a2) (.f64 (.f64 (cos.f64 th) a1) (/.f64 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 a2 a2) (.f64 (neg.f64 a1) (.f64 (cos.f64 th) a1))) (.f64 (.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 a2 a2) (.f64 (.f64 (cos.f64 th) a1) a1)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))
(/.f64 (.f64 (.f64 (.f64 (cos.f64 th) a1) (/.f64 a1 (.f64 a2 a2))) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (neg.f64 a1) (.f64 (cos.f64 th) a1)) (.f64 a2 a2)) (.f64 (.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 a2 a2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))
(/.f64 (neg.f64 (.f64 (neg.f64 a1) (.f64 (cos.f64 th) a1))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (neg.f64 a1) (.f64 (cos.f64 th) 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 (.f64 (cos.f64 th) a1) a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (/.f64 (.f64 (neg.f64 a1) (.f64 (cos.f64 th) a1)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (cos.f64 th) (fabs.f64 a1)) (fabs.f64 a1))
(.f64 (.f64 (cos.f64 th) (neg.f64 a1)) (neg.f64 a1))
(.f64 (fabs.f64 a1) (.f64 (fabs.f64 a1) (cos.f64 th)))
(.f64 (neg.f64 a1) (.f64 (neg.f64 a1) (cos.f64 th)))
(.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))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))))
#s(approx (* a1 (/ a1 (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
#s(approx a1 a1)
#s(approx (/ a1 (sqrt 2)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
#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 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
#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) (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 (/ (+ (* 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)) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (/ (* (cos th) a2) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
#s(approx (* (cos th) a2) (*.f64 (cos.f64 th) a2))
#s(approx 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 a2 a2 (.f64 a1 a1))))
#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)) (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 (.f64 #s(literal -1/2 binary64) (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 (.f64 #s(literal 1/24 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) th) th (/.f64 (.f64 #s(literal -1/2 binary64) (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 (.f64 #s(literal -1/720 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) th) th (/.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 #s(literal -1/2 binary64) (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) #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) a2) (sqrt 2)) a2) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) a2) a2) (.f64 th th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (* (cos th) a2) (sqrt 2)) a2) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (.f64 (.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) a2) a2) (.f64 th th) (.f64 (*.f64 #s(literal -1/2 binary64) a2) a2)) (sqrt.f64 #s(literal 2 binary64))) th) th)))
#s(approx (* (/ (* (cos th) a2) (sqrt 2)) a2) (fma.f64 (.f64 (fma.f64 (.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 a2 a2)) (.f64 th th) (.f64 (.f64 #s(literal 1/24 binary64) a2) a2)) (sqrt.f64 #s(literal 2 binary64))) th) th (.f64 (.f64 a2 a2) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))) th) th (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (/ (* (cos th) a2) (sqrt 2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (* (cos th) a2) (sqrt 2)) (/.f64 (fma.f64 (.f64 (.f64 th th) a2) #s(literal -1/2 binary64) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (* (cos th) a2) (sqrt 2)) (fma.f64 (.f64 (/.f64 (fma.f64 (.f64 (.f64 th th) a2) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) a2)) (sqrt.f64 #s(literal 2 binary64))) th) th (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (cos th) a2) (sqrt 2)) (fma.f64 (.f64 (fma.f64 (.f64 (/.f64 (fma.f64 (.f64 (.f64 th th) a2) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) a2)) (sqrt.f64 #s(literal 2 binary64))) th) th (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64))) th) th (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#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 (.f64 (fma.f64 (.f64 (.f64 th th) a2) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) a2)) th) th a2))
#s(approx (* (cos th) a2) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 th th) a2) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) a2)) th) th (.f64 #s(literal -1/2 binary64) a2)) th) th a2))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 a1 a1)) 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 (.f64 #s(literal 1/24 binary64) (.f64 a1 a1)) th) th (.f64 #s(literal -1/2 binary64) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (fma.f64 (.f64 (fma.f64 (.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/720 binary64) (.f64 a1 a1)) th) th (.f64 #s(literal 1/24 binary64) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) th) th (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) th) th (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
#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 (fma.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (cos th) a1) a1) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 a1 a1)) th) th (.f64 a1 a1)))
#s(approx (* (* (cos th) a1) a1) (fma.f64 (.f64 th th) (fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 a1 a1)) th) th (.f64 #s(literal -1/2 binary64) (.f64 a1 a1))) (*.f64 a1 a1)))
#s(approx (* (* (cos th) a1) a1) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/720 binary64) (.f64 a1 a1)) th) th (.f64 #s(literal 1/24 binary64) (.f64 a1 a1))) th) th (.f64 #s(literal -1/2 binary64) (.f64 a1 a1))) th) th (.f64 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 (.f64 (fma.f64 (.f64 (.f64 th th) a1) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) a1)) th) th a1))
#s(approx (* (cos th) a1) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 th th) a1) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) a1)) th) th (.f64 #s(literal -1/2 binary64) a1)) th) th a1))
#s(approx (cos th) (cos.f64 th))
#s(approx (/ (cos th) (sqrt 2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))

eval178.0ms (3.3%)

Memory: 31.3MiB live, 253.9MiB allocated; 104ms collecting garbage
Compiler: Compiled 9 198 to 2 619 computations (71.5% saved)

prune45.0ms (0.8%)

Memory

-1.7MiB live, 90.8MiB allocated; 8ms collecting garbage

Pruning

38 alts after pruning (36 fresh and 2 done)

	Pruned	Kept	Total
New	934	29	963
Fresh	6	7	13
Picked	3	2	5
Done	0	0	0
Total	943	38	981

Accuracy

100.0%

Counts

981 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2))
	67.7%	(fma.f64 (cos.f64 th) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(approx (/ (* (cos th) a2) (sqrt 2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) a2))
	98.8%	(fma.f64 (cos.f64 th) (sqrt.f64 (/.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) #s(literal 2 binary64))) (.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2))
	59.0%	(fma.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))) (.f64 a1 (/.f64 a1 (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))) a2) (sqrt.f64 #s(literal 2 binary64))) a2))
	99.6%	(/.f64 (-.f64 (.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 (.f64 (cos.f64 th) a2) a2))) #s(literal 2 binary64))
	99.6%	(/.f64 (.f64 (cos.f64 th) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
	67.6%	(+.f64 (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(approx (/ (cos th) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a2)))
	95.3%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (sqrt.f64 (/.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) #s(literal 2 binary64)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
	99.6%	(.f64 (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)))) #s(literal 1/2 binary64))
▶	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
	94.2%	(.f64 (.f64 (.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) a2) a2)
	99.6%	(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
	67.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
	59.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (.f64 (/.f64 (.f64 a1 a1) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) a2) a2 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
	32.9%	#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 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)))))
	26.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
	31.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (.f64 a1 a1) (/.f64 (.f64 a2 a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
	67.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 a1) a1) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
✓	67.7%	#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))))
	43.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
	16.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 a2 a2)) (.f64 #s(literal 2 binary64) (.f64 a2 a2))))
	30.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 a1 a1)) (.f64 #s(literal 2 binary64) (.f64 a1 a1))))
	99.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
	67.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	67.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
	99.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 (cos.f64 th) a2) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) a2))
✓	99.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2))
▶	61.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 #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))) a2) (sqrt.f64 #s(literal 2 binary64))) a2))
	61.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2) (sqrt.f64 #s(literal 2 binary64))) a2))
▶	43.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
	62.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
	99.4%	#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))
	67.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
	99.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	51.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a2 a2) (.f64 (/.f64 (cos.f64 th) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (.f64 a1 a1))))
	99.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
▶	67.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx (/ ( (cos th) a2) (sqrt 2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) a2))
	30.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (/ (* (cos th) a2) (sqrt 2)) a2) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) a2) a2) (.f64 th th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 1 667 to 1 433 computations (14% saved)

series98.0ms (1.8%)

Memory

-30.4MiB live, 73.9MiB allocated; 48ms collecting garbage

Counts

41 → 95

Calls

Call 1

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

Outputs
#s(approx (+ (* (/ 1 (sqrt 2)) (* (* (cos th) a1) a1)) (* (/ (* (cos th) a2) (sqrt 2)) a2)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ 1 (sqrt 2)) (* (* (cos th) a1) a1)) (* (/ (* (cos th) a2) (sqrt 2)) 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 a1 #s(hole binary64 a1))
#s(approx (* (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) a1) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) a1) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) #s(hole binary64 (/ (pow a2 2) (* a1 (sqrt 2)))))
#s(approx (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) #s(hole binary64 (/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) a1)))
#s(approx (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
#s(approx (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) #s(hole binary64 (/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (pow a1 2))))
#s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) #s(hole binary64 (/ (pow a2 2) (pow a1 2))))
#s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))))
#s(approx (/ a2 (* a1 a1)) #s(hole binary64 (/ a2 (pow a1 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 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 (sqrt 2)) (* (* (cos th) a1) a1)) (* (/ (* (cos th) a2) (sqrt 2)) a2)) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ 1 (sqrt 2)) (* (* (cos th) a1) a1)) (* (/ (* (cos th) a2) (sqrt 2)) 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))) 1) (sqrt 2)) a1) a1) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (* (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) a1) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) #s(hole binary64 (/ a1 (sqrt 2))))
#s(approx (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) #s(hole binary64 (* a1 (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) #s(hole binary64 (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))))
#s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) #s(hole binary64 1))
#s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) #s(hole binary64 (+ 1 (/ (pow a2 2) (pow a1 2)))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) #s(hole binary64 (* -1 (* a1 (- (* -1 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (/ 1 (sqrt 2)))))))
#s(approx (/ (* (cos th) a2) (sqrt 2)) #s(hole binary64 (/ (* a2 (cos th)) (sqrt 2))))
#s(approx (* (cos th) a2) #s(hole binary64 (* a2 (cos th))))
#s(approx a2 #s(hole binary64 a2))
#s(approx (/ a2 (sqrt 2)) #s(hole binary64 (/ a2 (sqrt 2))))
#s(approx (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) #s(hole binary64 (+ (/ a1 (sqrt 2)) (/ (pow a2 2) (* a1 (sqrt 2))))))
#s(approx (+ (* (/ 1 (sqrt 2)) (* (* (cos th) a1) a1)) (* (/ (* (cos th) a2) (sqrt 2)) 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))) 1) (sqrt 2)) a1) a1) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (* a1 (sqrt 2))) (/ a1 (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (+ (* (/ 1 (sqrt 2)) (* (* (cos th) a1) a1)) (* (/ (* (cos th) a2) (sqrt 2)) 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 (+ (* (/ 1 (sqrt 2)) (* (* (cos th) a1) a1)) (* (/ (* (cos th) a2) (sqrt 2)) 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 (+ (* (/ 1 (sqrt 2)) (* (* (cos th) a1) a1)) (* (/ (* (cos th) a2) (sqrt 2)) a2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (* (cos th) a1) a1) #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 (* -1/2 (* a1 (pow th 2))))))
#s(approx (* (cos th) a1) #s(hole binary64 (+ a1 (* (pow th 2) (+ (* -1/2 a1) (* 1/24 (* a1 (pow th 2))))))))
#s(approx (* (cos th) a1) #s(hole binary64 (+ a1 (* (pow th 2) (+ (* -1/2 a1) (* (pow th 2) (+ (* -1/720 (* a1 (pow th 2))) (* 1/24 a1))))))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -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) a2) (sqrt 2)) a2) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (/ (* (cos th) a2) (sqrt 2)) 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) a2) (sqrt 2)) 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) a2) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (* a2 (pow th 2)) (sqrt 2))) (/ a2 (sqrt 2)))))
#s(approx (/ (* (cos th) a2) (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 (/ (* (cos th) a2) (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 (* (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 (* (+ (* (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) th) #s(hole binary64 (* -1/2 th)))
#s(approx (* (+ (* (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) th) #s(hole binary64 (* th (- (* 1/24 (pow th 2)) 1/2))))
#s(approx (* (+ (* (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) th) #s(hole binary64 (* th (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))))
#s(approx (+ (* (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) #s(hole binary64 (- (* 1/24 (pow th 2)) 1/2)))
#s(approx (+ (* (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) #s(hole binary64 (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
#s(approx (+ (* -1/720 (* th th)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* th th)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow th 2)))))
#s(approx (* th th) #s(hole binary64 (pow th 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) (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 (cos th)))
#s(approx (+ (* (* (+ (* (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) th) th) 1) #s(hole binary64 (* -1/720 (pow th 6))))
#s(approx (+ (* (* (+ (* (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) th) th) 1) #s(hole binary64 (* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) 1/720))))
#s(approx (+ (* (* (+ (* (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) th) th) 1) #s(hole binary64 (* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) (+ 1/720 (/ 1/2 (pow th 4)))))))
#s(approx (+ (* (* (+ (* (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) th) th) 1) #s(hole binary64 (* (pow th 6) (- (+ (* 1/24 (/ 1 (pow th 2))) (/ 1 (pow th 6))) (+ 1/720 (/ 1/2 (pow th 4)))))))
#s(approx (* (+ (* (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) th) #s(hole binary64 (* -1/720 (pow th 5))))
#s(approx (* (+ (* (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) th) #s(hole binary64 (* (pow th 5) (- (* 1/24 (/ 1 (pow th 2))) 1/720))))
#s(approx (* (+ (* (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) th) #s(hole binary64 (* (pow th 5) (- (* 1/24 (/ 1 (pow th 2))) (+ 1/720 (/ 1/2 (pow th 4)))))))
#s(approx (+ (* (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) #s(hole binary64 (* -1/720 (pow th 4))))
#s(approx (+ (* (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) #s(hole binary64 (* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))))
#s(approx (+ (* (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) #s(hole binary64 (* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) (+ 1/720 (/ 1/2 (pow th 4)))))))
#s(approx (+ (* -1/720 (* th th)) 1/24) #s(hole binary64 (* -1/720 (pow th 2))))
#s(approx (+ (* -1/720 (* th th)) 1/24) #s(hole binary64 (* (pow th 2) (- (* 1/24 (/ 1 (pow th 2))) 1/720))))
#s(approx (* (/ (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) (sqrt 2)) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (* (+ (* (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) th) #s(hole binary64 (* -1 (* (pow th 5) (- 1/720 (* 1/24 (/ 1 (pow th 2))))))))
#s(approx (* (+ (* (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) th) #s(hole binary64 (* -1 (* (pow th 5) (- (+ 1/720 (/ 1/2 (pow th 4))) (* 1/24 (/ 1 (pow th 2))))))))

Calls

9 calls:

Time	Variable		Point	Expression
40.0ms	a1	@	0	((+ (* (/ 1 (sqrt 2)) (* (* (cos th) a1) a1)) (* (/ (* (cos th) a2) (sqrt 2)) a2)) (/ 1 (sqrt 2)) 1 (sqrt 2) 2 (* (* (cos th) a1) a1) (* (cos th) a1) (cos th) th a1 (* (/ (* (cos th) a2) (sqrt 2)) a2) (/ (* (cos th) a2) (sqrt 2)) (* (cos th) a2) a2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (* (cos th) a2) (sqrt 2)) a2) (/ (* (cos th) a2) (sqrt 2)) (/ a2 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) a1) (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) (+ (* a2 (/ a2 (* a1 a1))) 1) (/ a2 (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (* (cos th) a2) (sqrt 2)) a2) (/ (* (cos th) a2) (sqrt 2)) (* (cos th) a2) (cos th) (+ (* (* (+ (* (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) th) th) 1) (* (+ (* (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) th) (+ (* (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) (+ (* -1/720 (* th th)) 1/24) -1/720 (* th th) 1/24 -1/2 (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
9.0ms	th	@	0	((+ (* (/ 1 (sqrt 2)) (* (* (cos th) a1) a1)) (* (/ (* (cos th) a2) (sqrt 2)) a2)) (/ 1 (sqrt 2)) 1 (sqrt 2) 2 (* (* (cos th) a1) a1) (* (cos th) a1) (cos th) th a1 (* (/ (* (cos th) a2) (sqrt 2)) a2) (/ (* (cos th) a2) (sqrt 2)) (* (cos th) a2) a2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (* (cos th) a2) (sqrt 2)) a2) (/ (* (cos th) a2) (sqrt 2)) (/ a2 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) a1) (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) (+ (* a2 (/ a2 (* a1 a1))) 1) (/ a2 (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (* (cos th) a2) (sqrt 2)) a2) (/ (* (cos th) a2) (sqrt 2)) (* (cos th) a2) (cos th) (+ (* (* (+ (* (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) th) th) 1) (* (+ (* (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) th) (+ (* (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) (+ (* -1/720 (* th th)) 1/24) -1/720 (* th th) 1/24 -1/2 (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
8.0ms	a2	@	inf	((+ (* (/ 1 (sqrt 2)) (* (* (cos th) a1) a1)) (* (/ (* (cos th) a2) (sqrt 2)) a2)) (/ 1 (sqrt 2)) 1 (sqrt 2) 2 (* (* (cos th) a1) a1) (* (cos th) a1) (cos th) th a1 (* (/ (* (cos th) a2) (sqrt 2)) a2) (/ (* (cos th) a2) (sqrt 2)) (* (cos th) a2) a2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (* (cos th) a2) (sqrt 2)) a2) (/ (* (cos th) a2) (sqrt 2)) (/ a2 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) a1) (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) (+ (* a2 (/ a2 (* a1 a1))) 1) (/ a2 (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (* (cos th) a2) (sqrt 2)) a2) (/ (* (cos th) a2) (sqrt 2)) (* (cos th) a2) (cos th) (+ (* (* (+ (* (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) th) th) 1) (* (+ (* (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) th) (+ (* (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) (+ (* -1/720 (* th th)) 1/24) -1/720 (* th th) 1/24 -1/2 (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
8.0ms	th	@	inf	((+ (* (/ 1 (sqrt 2)) (* (* (cos th) a1) a1)) (* (/ (* (cos th) a2) (sqrt 2)) a2)) (/ 1 (sqrt 2)) 1 (sqrt 2) 2 (* (* (cos th) a1) a1) (* (cos th) a1) (cos th) th a1 (* (/ (* (cos th) a2) (sqrt 2)) a2) (/ (* (cos th) a2) (sqrt 2)) (* (cos th) a2) a2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (* (cos th) a2) (sqrt 2)) a2) (/ (* (cos th) a2) (sqrt 2)) (/ a2 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) a1) (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) (+ (* a2 (/ a2 (* a1 a1))) 1) (/ a2 (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (* (cos th) a2) (sqrt 2)) a2) (/ (* (cos th) a2) (sqrt 2)) (* (cos th) a2) (cos th) (+ (* (* (+ (* (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) th) th) 1) (* (+ (* (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) th) (+ (* (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) (+ (* -1/720 (* th th)) 1/24) -1/720 (* th th) 1/24 -1/2 (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))
7.0ms	a2	@	0	((+ (* (/ 1 (sqrt 2)) (* (* (cos th) a1) a1)) (* (/ (* (cos th) a2) (sqrt 2)) a2)) (/ 1 (sqrt 2)) 1 (sqrt 2) 2 (* (* (cos th) a1) a1) (* (cos th) a1) (cos th) th a1 (* (/ (* (cos th) a2) (sqrt 2)) a2) (/ (* (cos th) a2) (sqrt 2)) (* (cos th) a2) a2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (* (cos th) a2) (sqrt 2)) a2) (/ (* (cos th) a2) (sqrt 2)) (/ a2 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) a1) (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) (+ (* a2 (/ a2 (* a1 a1))) 1) (/ a2 (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (* (cos th) a2) (sqrt 2)) a2) (/ (* (cos th) a2) (sqrt 2)) (* (cos th) a2) (cos th) (+ (* (* (+ (* (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) th) th) 1) (* (+ (* (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) th) (+ (* (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) (+ (* -1/720 (* th th)) 1/24) -1/720 (* th th) 1/24 -1/2 (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1)))

rewrite186.0ms (3.4%)

Memory

4.4MiB live, 233.4MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	411	2915
0	472	2710
1	1547	2542
0	8430	2472

Stop Event

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

Counts

136 → 1 110

Calls

Call 1

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

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

eval153.0ms (2.8%)

Memory: 23.1MiB live, 212.5MiB allocated; 25ms collecting garbage
Compiler: Compiled 10 966 to 3 970 computations (63.8% saved)

prune55.0ms (1%)

Memory

-22.1MiB live, 125.1MiB allocated; 13ms collecting garbage

Pruning

44 alts after pruning (40 fresh and 4 done)

	Pruned	Kept	Total
New	954	25	979
Fresh	16	15	31
Picked	3	2	5
Done	0	2	2
Total	973	44	1 017

Accuracy

100.0%

Counts

1 017 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
▶	99.7%	(/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))) #s(literal 2 binary64))
	95.3%	(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (sqrt.f64 (/.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) #s(literal 2 binary64)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
	45.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (.f64 a2 a2)) (.f64 a2 a2)))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
	94.1%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (.f64 a2 a2)))
	62.5%	(.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)))
	99.6%	(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
	31.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (.f64 (.f64 a1 a1) (.f64 a2 (/.f64 a2 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))))))
	67.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 a1) a1) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
✓	67.7%	#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))))
	43.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
	16.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 a2 a2)) (.f64 #s(literal 2 binary64) (.f64 a2 a2))))
	30.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) (.f64 a1 a1)) (.f64 #s(literal 2 binary64) (.f64 a1 a1))))
	99.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
	67.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	34.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
	40.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (.f64 (/.f64 a1 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) a2) a2 (/.f64 (.f64 (.f64 a2 a2) a1) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))) a1))
	67.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
▶	40.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) a1) (.f64 #s(literal 2 binary64) (.f64 a1 a1))) a1))
✓	99.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2))
	61.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 #s(approx (cos th) (fma.f64 (.f64 #s(approx (+ ( (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) #s(literal -1/2 binary64)) th) th #s(literal 1 binary64))) a2) (sqrt.f64 #s(literal 2 binary64))) a2))
	52.7%	#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)) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
	40.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) (.f64 a2 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
	41.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) a1) a1))
	62.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
	52.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 (/.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) a1) a1) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
	99.4%	#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))
	41.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 #s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) (.f64 (/.f64 a2 (.f64 a1 a1)) a2)) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
	11.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 #s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
	43.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) a1))
	40.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 a1 a1)))) a1) a1))
	52.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) a1) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) a1) a1))
	67.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
▶	99.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	41.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(approx (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) (.f64 a2 (/.f64 a2 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)))) a1) a1))
	51.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a2 a2) (.f64 (/.f64 (cos.f64 th) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (.f64 a1 a1))))
	99.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
✓	67.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx (/ ( (cos th) a2) (sqrt 2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) a2))
	67.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx (/ ( (cos th) a2) (sqrt 2)) (*.f64 a2 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) a2))
▶	11.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1))
	59.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) (.f64 a2 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) a1))
▶	30.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (/ (* (cos th) a2) (sqrt 2)) a2) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) a2) a2) (.f64 th th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
	13.4%	#s(approx (+ (* (/ 1 (sqrt 2)) (* (* (cos th) a1) a1)) (* (/ (* (cos th) a2) (sqrt 2)) a2)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) a1)))

Compiler

Compiled 2 026 to 1 755 computations (13.4% saved)

series49.0ms (0.9%)

Memory

32.5MiB live, 79.6MiB allocated; 2ms collecting garbage

Counts

33 → 96

Calls

Call 1

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

Outputs
#s(approx (/ (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 2) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 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) (* (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 (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a2 2) (sqrt 2))))
#s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx a1 #s(hole binary64 a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (* (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) a1) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) a1) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) #s(hole binary64 (/ (pow a2 2) (* a1 (sqrt 2)))))
#s(approx (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) #s(hole binary64 (/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) a1)))
#s(approx (/ a1 (sqrt 2)) #s(hole binary64 (/ a1 (sqrt 2))))
#s(approx (* (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) a1) #s(hole binary64 (* 1/2 (* (pow a2 2) (sqrt 2)))))
#s(approx (* (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) a1) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))))
#s(approx (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) #s(hole binary64 (* 1/2 (/ (* (pow a2 2) (sqrt 2)) a1))))
#s(approx (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) #s(hole binary64 (/ (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2)))) a1)))
#s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) #s(hole binary64 (* a1 (* (pow a2 2) (sqrt 2)))))
#s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) #s(hole binary64 (* a1 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))))
#s(approx (* 2 (* a1 a1)) #s(hole binary64 (* 2 (pow a1 2))))
#s(approx (/ (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 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) (* (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) (sqrt 2))) (pow a1 2))))))
#s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a1 2) (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) a1) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (* (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) a1) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) #s(hole binary64 (* a1 (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) a1) #s(hole binary64 (* 1/2 (* (pow a1 2) (sqrt 2)))))
#s(approx (* (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) a1) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))))
#s(approx (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) #s(hole binary64 (* 1/2 (* a1 (sqrt 2)))))
#s(approx (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) #s(hole binary64 (* a1 (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))))
#s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) #s(hole binary64 (* (pow a1 3) (sqrt 2))))
#s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) #s(hole binary64 (* (pow a1 3) (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))))
#s(approx (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) #s(hole binary64 (* -1 (* a1 (- (* -1 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (/ 1 (sqrt 2)))))))
#s(approx (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) #s(hole binary64 (* -1 (* a1 (+ (* -1/2 (sqrt 2)) (* -1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))))))
#s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) #s(hole binary64 (* -1 (* (pow a1 3) (+ (* -1 (sqrt 2)) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))))))
#s(approx a2 #s(hole binary64 a2))
#s(approx (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) #s(hole binary64 (+ (/ a1 (sqrt 2)) (/ (pow a2 2) (* a1 (sqrt 2))))))
#s(approx (/ (+ (* (* (* -1/2 a2) a2) (* th th)) (* a2 a2)) (sqrt 2)) #s(hole binary64 (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))))
#s(approx (+ (* (* (* -1/2 a2) a2) (* th th)) (* a2 a2)) #s(hole binary64 (* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))))
#s(approx (* (* -1/2 a2) a2) #s(hole binary64 (* -1/2 (pow a2 2))))
#s(approx (* -1/2 a2) #s(hole binary64 (* -1/2 a2)))
#s(approx (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) #s(hole binary64 (+ (* 1/2 (* a1 (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) a1)))))
#s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) #s(hole binary64 (+ (* a1 (* (pow a2 2) (sqrt 2))) (* (pow a1 3) (sqrt 2)))))
#s(approx (* (cos th) a2) #s(hole binary64 (* a2 (cos th))))
#s(approx (/ a2 (sqrt 2)) #s(hole binary64 (/ a2 (sqrt 2))))
#s(approx (/ (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 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) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) #s(hole binary64 (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))))
#s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (+ (* (/ (cos th) (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))) 1) (sqrt 2)) a1) a1) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (* a1 (sqrt 2))) (/ a1 (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) a1) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))))
#s(approx (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (/ (sqrt 2) a1)) (* 1/2 (/ (* a1 (sqrt 2)) (pow a2 2)))))))
#s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) #s(hole binary64 (* (pow a2 2) (+ (* a1 (sqrt 2)) (/ (* (pow a1 3) (sqrt 2)) (pow a2 2))))))
#s(approx (/ (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 2) #s(hole binary64 (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (/ (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 2) #s(hole binary64 (+ (* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))
#s(approx (/ (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 2) #s(hole binary64 (+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/48 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))))
#s(approx (/ (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 2) #s(hole binary64 (+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/1440 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/48 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))))
#s(approx (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) #s(hole binary64 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) #s(hole binary64 (+ (* -1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) #s(hole binary64 (+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))))
#s(approx (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) #s(hole binary64 (+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/24 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))))
#s(approx (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 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) a2) (sqrt 2)) a2) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (/ (* (cos th) a2) (sqrt 2)) 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) a2) (sqrt 2)) 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 (+ (* (* (* -1/2 a2) a2) (* th th)) (* a2 a2)) #s(hole binary64 (+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2))))
#s(approx (* th th) #s(hole binary64 (pow th 2)))
#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) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 2) #s(hole binary64 (* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))
#s(approx (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) #s(hole binary64 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (/ (+ (* (* (* -1/2 a2) a2) (* th th)) (* a2 a2)) (sqrt 2)) #s(hole binary64 (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2)))))
#s(approx (/ (+ (* (* (* -1/2 a2) a2) (* th th)) (* a2 a2)) (sqrt 2)) #s(hole binary64 (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))))
#s(approx (+ (* (* (* -1/2 a2) a2) (* th th)) (* a2 a2)) #s(hole binary64 (* -1/2 (* (pow a2 2) (pow th 2)))))
#s(approx (+ (* (* (* -1/2 a2) a2) (* th th)) (* a2 a2)) #s(hole binary64 (* (pow th 2) (+ (* -1/2 (pow a2 2)) (/ (pow a2 2) (pow th 2))))))

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	a2	@	0	((/ (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 2) (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (cos th) th (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (sqrt 2) 2 (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) a1) (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) (/ a1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (* (cos th) a2) (sqrt 2)) a2) (/ (+ (* (* (* -1/2 a2) a2) (* th th)) (* a2 a2)) (sqrt 2)) (+ (* (* (* -1/2 a2) a2) (* th th)) (* a2 a2)) (* (* -1/2 a2) a2) (* -1/2 a2) -1/2 (* th th) (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) a1) (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (/ a2 (sqrt 2)))
6.0ms	a2	@	inf	((/ (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 2) (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (cos th) th (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (sqrt 2) 2 (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) a1) (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) (/ a1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (* (cos th) a2) (sqrt 2)) a2) (/ (+ (* (* (* -1/2 a2) a2) (* th th)) (* a2 a2)) (sqrt 2)) (+ (* (* (* -1/2 a2) a2) (* th th)) (* a2 a2)) (* (* -1/2 a2) a2) (* -1/2 a2) -1/2 (* th th) (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) a1) (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (/ a2 (sqrt 2)))
5.0ms	a2	@	-inf	((/ (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 2) (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (cos th) th (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (sqrt 2) 2 (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) a1) (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) (/ a1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (* (cos th) a2) (sqrt 2)) a2) (/ (+ (* (* (* -1/2 a2) a2) (* th th)) (* a2 a2)) (sqrt 2)) (+ (* (* (* -1/2 a2) a2) (* th th)) (* a2 a2)) (* (* -1/2 a2) a2) (* -1/2 a2) -1/2 (* th th) (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) a1) (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (/ a2 (sqrt 2)))
4.0ms	a1	@	inf	((/ (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 2) (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (cos th) th (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (sqrt 2) 2 (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) a1) (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) (/ a1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (* (cos th) a2) (sqrt 2)) a2) (/ (+ (* (* (* -1/2 a2) a2) (* th th)) (* a2 a2)) (sqrt 2)) (+ (* (* (* -1/2 a2) a2) (* th th)) (* a2 a2)) (* (* -1/2 a2) a2) (* -1/2 a2) -1/2 (* th th) (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) a1) (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (/ a2 (sqrt 2)))
4.0ms	a1	@	0	((/ (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 2) (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) (cos th) th (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (sqrt 2) 2 (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) a1) (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) (/ a1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (* (cos th) a2) (sqrt 2)) a2) (/ (+ (* (* (* -1/2 a2) a2) (* th th)) (* a2 a2)) (sqrt 2)) (+ (* (* (* -1/2 a2) a2) (* th th)) (* a2 a2)) (* (* -1/2 a2) a2) (* -1/2 a2) -1/2 (* th th) (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) a1) (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (/ a2 (sqrt 2)))

rewrite212.0ms (3.9%)

Memory

-34.2MiB live, 252.9MiB allocated; 53ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	396	3214
0	441	2933
1	1563	2764
0	9127	2659

Stop Event

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

Counts

129 → 938

Calls

Call 1

Inputs
(/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))) #s(literal 2 binary64))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(cos.f64 th)
th
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 a2 a2 (*.f64 a1 a1))
a2
(*.f64 a1 a1)
a1
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1))
(.f64 #s(approx ( (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1)
#s(approx (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) 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))) #s(approx (* (/ (* (cos th) a2) (sqrt 2)) a2) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) a2) a2) (.f64 th th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (* (cos th) a2) (sqrt 2)) a2) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) a2) a2) (.f64 th th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) a2) a2) (.f64 th th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) a2) a2) (.f64 th th) (.f64 a2 a2))
(.f64 (.f64 #s(literal -1/2 binary64) a2) a2)
(*.f64 #s(literal -1/2 binary64) a2)
#s(literal -1/2 binary64)
(*.f64 th th)
(*.f64 a2 a2)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) a1) (.f64 #s(literal 2 binary64) (.f64 a1 a1))) a1))
(.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) a1) (.f64 #s(literal 2 binary64) (.f64 a1 a1))) a1)
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (.f64 a1 a1))) a1) (.f64 #s(literal 2 binary64) (*.f64 a1 a1)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) a1)
(.f64 #s(literal 2 binary64) (.f64 a1 a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) a2)
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
#s(approx (/ (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 2) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 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) (* (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 (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a2 2) (sqrt 2))))
#s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx a1 #s(hole binary64 a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (* (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) a1) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) a1) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) #s(hole binary64 (/ (pow a2 2) (* a1 (sqrt 2)))))
#s(approx (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) #s(hole binary64 (/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) a1)))
#s(approx (/ a1 (sqrt 2)) #s(hole binary64 (/ a1 (sqrt 2))))
#s(approx (* (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) a1) #s(hole binary64 (* 1/2 (* (pow a2 2) (sqrt 2)))))
#s(approx (* (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) a1) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))))
#s(approx (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) #s(hole binary64 (* 1/2 (/ (* (pow a2 2) (sqrt 2)) a1))))
#s(approx (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) #s(hole binary64 (/ (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2)))) a1)))
#s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) #s(hole binary64 (* a1 (* (pow a2 2) (sqrt 2)))))
#s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) #s(hole binary64 (* a1 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))))
#s(approx (* 2 (* a1 a1)) #s(hole binary64 (* 2 (pow a1 2))))
#s(approx (/ (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 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) (* (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) (sqrt 2))) (pow a1 2))))))
#s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a1 2) (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) a1) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (* (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) a1) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) #s(hole binary64 (* a1 (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) a1) #s(hole binary64 (* 1/2 (* (pow a1 2) (sqrt 2)))))
#s(approx (* (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) a1) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))))
#s(approx (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) #s(hole binary64 (* 1/2 (* a1 (sqrt 2)))))
#s(approx (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) #s(hole binary64 (* a1 (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))))
#s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) #s(hole binary64 (* (pow a1 3) (sqrt 2))))
#s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) #s(hole binary64 (* (pow a1 3) (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))))
#s(approx (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) #s(hole binary64 (* -1 (* a1 (- (* -1 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (/ 1 (sqrt 2)))))))
#s(approx (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) #s(hole binary64 (* -1 (* a1 (+ (* -1/2 (sqrt 2)) (* -1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))))))
#s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) #s(hole binary64 (* -1 (* (pow a1 3) (+ (* -1 (sqrt 2)) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))))))
#s(approx a2 #s(hole binary64 a2))
#s(approx (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) #s(hole binary64 (+ (/ a1 (sqrt 2)) (/ (pow a2 2) (* a1 (sqrt 2))))))
#s(approx (/ (+ (* (* (* -1/2 a2) a2) (* th th)) (* a2 a2)) (sqrt 2)) #s(hole binary64 (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))))
#s(approx (+ (* (* (* -1/2 a2) a2) (* th th)) (* a2 a2)) #s(hole binary64 (* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))))
#s(approx (* (* -1/2 a2) a2) #s(hole binary64 (* -1/2 (pow a2 2))))
#s(approx (* -1/2 a2) #s(hole binary64 (* -1/2 a2)))
#s(approx (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) #s(hole binary64 (+ (* 1/2 (* a1 (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) a1)))))
#s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) #s(hole binary64 (+ (* a1 (* (pow a2 2) (sqrt 2))) (* (pow a1 3) (sqrt 2)))))
#s(approx (* (cos th) a2) #s(hole binary64 (* a2 (cos th))))
#s(approx (/ a2 (sqrt 2)) #s(hole binary64 (/ a2 (sqrt 2))))
#s(approx (/ (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 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) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) #s(hole binary64 (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))))
#s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (+ (* (/ (cos th) (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))) 1) (sqrt 2)) a1) a1) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (* a1 (sqrt 2))) (/ a1 (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) a1) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))))
#s(approx (/ (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) (* 2 (* a1 a1))) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (/ (sqrt 2) a1)) (* 1/2 (/ (* a1 (sqrt 2)) (pow a2 2)))))))
#s(approx (* (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) a1) #s(hole binary64 (* (pow a2 2) (+ (* a1 (sqrt 2)) (/ (* (pow a1 3) (sqrt 2)) (pow a2 2))))))
#s(approx (/ (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 2) #s(hole binary64 (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (/ (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 2) #s(hole binary64 (+ (* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))
#s(approx (/ (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 2) #s(hole binary64 (+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/48 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))))
#s(approx (/ (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 2) #s(hole binary64 (+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/1440 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/48 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))))
#s(approx (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) #s(hole binary64 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) #s(hole binary64 (+ (* -1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) #s(hole binary64 (+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))))
#s(approx (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) #s(hole binary64 (+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/24 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))))
#s(approx (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 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) a2) (sqrt 2)) a2) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (/ (* (cos th) a2) (sqrt 2)) 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) a2) (sqrt 2)) 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 (+ (* (* (* -1/2 a2) a2) (* th th)) (* a2 a2)) #s(hole binary64 (+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2))))
#s(approx (* th th) #s(hole binary64 (pow th 2)))
#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) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 2) #s(hole binary64 (* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))
#s(approx (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) #s(hole binary64 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (/ (+ (* (* (* -1/2 a2) a2) (* th th)) (* a2 a2)) (sqrt 2)) #s(hole binary64 (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2)))))
#s(approx (/ (+ (* (* (* -1/2 a2) a2) (* th th)) (* a2 a2)) (sqrt 2)) #s(hole binary64 (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))))
#s(approx (+ (* (* (* -1/2 a2) a2) (* th th)) (* a2 a2)) #s(hole binary64 (* -1/2 (* (pow a2 2) (pow th 2)))))
#s(approx (+ (* (* (* -1/2 a2) a2) (* th th)) (* a2 a2)) #s(hole binary64 (* (pow th 2) (+ (* -1/2 (pow a2 2)) (/ (pow a2 2) (pow th 2))))))

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

eval124.0ms (2.3%)

Memory: 46.1MiB live, 271.9MiB allocated; 46ms collecting garbage
Compiler: Compiled 10 962 to 3 822 computations (65.1% saved)

prune118.0ms (2.2%)

Memory

-30.1MiB live, 155.2MiB allocated; 29ms collecting garbage

Pruning

50 alts after pruning (45 fresh and 5 done)

	Pruned	Kept	Total
New	1 024	19	1 043
Fresh	9	26	35
Picked	3	2	5
Done	1	3	4
Total	1 037	50	1 087

Accuracy

100.0%

Counts

1 087 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.4%	(/.f64 (.f64 (cos.f64 th) #s(approx ( (sqrt 2) (+ (* a2 a2) (* a1 a1))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))) #s(literal 2 binary64))
	94.1%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (.f64 a2 a2)))
	99.6%	(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (.f64 a2 a2))) #s(literal 1/2 binary64))
	13.4%	#s(approx (/ (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 2) (/.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
	62.6%	#s(approx (/ (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 2) (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (.f64 th th) #s(literal 1/2 binary64))))
	13.4%	#s(approx (/ (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 2) (.f64 (.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
	99.5%	#s(approx (/ (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64))))
	62.4%	#s(approx (/ (* (cos th) (* (sqrt 2) (+ (* a2 a2) (* a1 a1)))) 2) #s(approx (* (/ (* (cos th) a2) (sqrt 2)) a2) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))
	67.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 a1) a1) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
✓	67.7%	#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))))
	43.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
	99.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
	39.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (.f64 a1 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) a1) (.f64 a1 a1)))
	67.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	34.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
	40.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (.f64 (/.f64 a1 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) a2) a2 (/.f64 (.f64 (.f64 a2 a2) a1) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))) a1))
	67.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
	40.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ ( a2 a2) (* a1 a1)) (.f64 a2 a2))) a1) (.f64 #s(literal 2 binary64) (*.f64 a1 a1))) a1))
✓	99.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2))
	4.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 #s(approx (* (sqrt 2) (+ (* a2 a2) (* a1 a1))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) a1) (.f64 #s(literal 2 binary64) (.f64 a1 a1))) a1))
	61.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (.f64 #s(approx (cos th) (fma.f64 (.f64 #s(approx (+ ( (+ (* -1/720 (* th th)) 1/24) (* th th)) -1/2) #s(literal -1/2 binary64)) th) th #s(literal 1 binary64))) a2) (sqrt.f64 #s(literal 2 binary64))) a2))
	52.7%	#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)) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
	40.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) (.f64 a2 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
	41.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) a1) a1))
	62.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
	41.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 a1 (.f64 a1 a1))) a1))
	52.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 (/.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) a1) a1) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
	99.4%	#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))
	41.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 #s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) (.f64 (/.f64 a2 (.f64 a1 a1)) a2)) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
	11.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 #s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
	43.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 (.f64 a1 a1)) a2 #s(literal 1 binary64)) a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) a1))
	40.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 a1 a1)))) a1) a1))
	52.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) a1) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) a1) a1))
	67.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
✓	99.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
	41.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 #s(approx (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) (.f64 a2 (/.f64 a2 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)))) a1) a1))
	42.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a1 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 a1 (.f64 a1 a1))))
	99.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
✓	67.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx (/ ( (cos th) a2) (sqrt 2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) a2))
	67.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx (/ ( (cos th) a2) (sqrt 2)) (*.f64 a2 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) a2))
✓	11.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1))
	53.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) (.f64 (.f64 (/.f64 (+.f64 (/.f64 a1 (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) a1)) (sqrt.f64 #s(literal 2 binary64))) a2) a2)) a1))
	11.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a1)) a1))
	59.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) (.f64 a2 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) a1))
	32.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (/ (* (cos th) a2) (sqrt 2)) a2) (fma.f64 (.f64 (.f64 (.f64 a2 a2) th) th) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))
	18.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (/ (* (cos th) a2) (sqrt 2)) a2) (/.f64 #s(approx (+ (* (* (* -1/2 a2) a2) (* th th)) (* a2 a2)) (.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) a2) a2) th) th)) (sqrt.f64 #s(literal 2 binary64)))))
	62.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (/ (* (cos th) a2) (sqrt 2)) a2) (.f64 (.f64 a2 a2) (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
	11.8%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) a1) (.f64 (.f64 (*.f64 a1 a1) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
	67.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) a1) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a2) a2)))
	13.4%	#s(approx (+ (* (/ 1 (sqrt 2)) (* (* (cos th) a1) a1)) (* (/ (* (cos th) a2) (sqrt 2)) a2)) (.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) a1)))

Compiler

Compiled 2 302 to 1 554 computations (32.5% saved)

regimes247.0ms (4.5%)

Memory

13.2MiB live, 375.7MiB allocated; 110ms collecting garbage

Counts

92 → 1

Calls

Call 1

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

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

Calls

8 calls:

69.0ms	a1
35.0ms	a2
25.0ms	(*.f64 a2 a2)
24.0ms	(cos.f64 th)
24.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))

Results

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

Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes183.0ms (3.4%)

Memory

-16.6MiB live, 314.2MiB allocated; 15ms collecting garbage

Counts

71 → 1

Calls

Call 1

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

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

Calls

8 calls:

40.0ms	(*.f64 a1 a1)
29.0ms	(*.f64 a2 a2)
19.0ms	a2
19.0ms	a1
18.0ms	th

Results

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

Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes175.0ms (3.2%)

Memory

2.6MiB live, 368.7MiB allocated; 59ms collecting garbage

Counts

70 → 1

Calls

Call 1

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

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

Calls

8 calls:

29.0ms	a1
25.0ms	a2
23.0ms	(*.f64 a1 a1)
21.0ms	th
19.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
99.6%	1	`(*.f64 a2 a2)`
99.6%	1	`(*.f64 a1 a1)`
99.6%	1	`a1`
99.6%	1	`a2`
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	`th`

Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes157.0ms (2.9%)

Memory

24.5MiB live, 218.0MiB allocated; 33ms collecting garbage

Counts

68 → 1

Calls

Call 1

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

Calls

8 calls:

37.0ms	a2
21.0ms	a1
17.0ms	th
17.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
17.0ms	(*.f64 a2 a2)

Results

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

Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes135.0ms (2.5%)

Memory

0.5MiB live, 189.0MiB allocated; 12ms collecting garbage

Counts

67 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

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

Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes133.0ms (2.4%)

Memory

7.8MiB live, 197.6MiB allocated; 11ms collecting garbage

Counts

66 → 1

Calls

Call 1

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

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

Calls

8 calls:

19.0ms	th
18.0ms	a1
17.0ms	a2
16.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
15.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
99.5%	1	`(*.f64 a2 a2)`
99.5%	1	`(*.f64 a1 a1)`
99.5%	1	`(cos.f64 th)`
99.5%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.5%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
99.5%	1	`a1`
99.5%	1	`a2`
99.5%	1	`th`

Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes145.0ms (2.7%)

Memory

-11.3MiB live, 177.0MiB allocated; 48ms collecting garbage

Counts

60 → 1

Calls

Call 1

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

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

Calls

8 calls:

39.0ms	th
17.0ms	a1
15.0ms	(cos.f64 th)
15.0ms	(*.f64 a2 a2)
15.0ms	a2

Results

Accuracy	Segments	Branch
99.5%	1	`(cos.f64 th)`
99.5%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.5%	1	`(*.f64 a2 a2)`
99.5%	1	`(*.f64 a1 a1)`
99.5%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
99.5%	1	`a1`
99.5%	1	`a2`
99.5%	1	`th`

Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes117.0ms (2.1%)

Memory

25.1MiB live, 167.6MiB allocated; 10ms collecting garbage

Counts

58 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

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

Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes116.0ms (2.1%)

Memory

-12.9MiB live, 175.5MiB allocated; 11ms collecting garbage

Counts

57 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
67.7%	1	`(*.f64 a2 a2)`
67.7%	1	`(*.f64 a1 a1)`
79.0%	2	`(cos.f64 th)`
79.0%	2	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
79.0%	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)))`
67.7%	1	`a1`
67.7%	1	`a2`
67.7%	1	`th`

Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes19.0ms (0.4%)

Memory

-12.3MiB live, 33.9MiB allocated; 2ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	(cos.f64 th)
4.0ms	a1
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 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
3.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
67.7%	1	`(*.f64 a1 a1)`
67.7%	1	`a1`
67.7%	1	`(cos.f64 th)`
67.7%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
67.7%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`

Compiler

Compiled 26 to 30 computations (-15.4% saved)

regimes27.0ms (0.5%)

Memory

3.0MiB live, 53.5MiB allocated; 4ms collecting garbage

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx (/ ( (cos th) a2) (sqrt 2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* 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))) #s(approx (* (* (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) a1) (.f64 (.f64 (*.f64 #s(literal 1/2 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))) 1) (sqrt 2)) a1) a1) (.f64 (.f64 (*.f64 a1 a1) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) a1)) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx (/ ( (cos th) a2) (sqrt 2)) (*.f64 a2 (/.f64 #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 (.f64 (/.f64 #s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) #s(literal 1 binary64)) (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 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 #s(approx ( (/ (+ (* a2 (/ a2 (* a1 a1))) 1) (sqrt 2)) a1) (.f64 a2 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) 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	(+.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	th
3.0ms	a1
3.0ms	a2
3.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
67.7%	1	`th`
67.7%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
67.7%	1	`(*.f64 a2 a2)`
67.7%	1	`a2`
67.7%	1	`(*.f64 a1 a1)`
67.7%	1	`(cos.f64 th)`
67.7%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
67.7%	1	`a1`

Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes25.0ms (0.5%)

Memory

-3.7MiB live, 41.5MiB allocated; 3ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

5.0ms	(*.f64 a1 a1)
3.0ms	a2
3.0ms	th
3.0ms	a1
3.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))

Results

Accuracy	Segments	Branch
67.5%	1	`th`
67.5%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
67.5%	1	`(*.f64 a1 a1)`
67.5%	1	`(cos.f64 th)`
67.5%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
67.5%	1	`a1`
67.5%	1	`(*.f64 a2 a2)`
67.5%	1	`a2`

Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes12.0ms (0.2%)

Memory

29.0MiB live, 29.0MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

8 calls:

2.0ms	th
2.0ms	a2
2.0ms	a1
1.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
1.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
67.5%	1	`th`
67.5%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
67.5%	1	`(*.f64 a2 a2)`
67.5%	1	`(*.f64 a1 a1)`
67.5%	1	`(cos.f64 th)`
67.5%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
67.5%	1	`a1`
67.5%	1	`a2`

Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes11.0ms (0.2%)

Memory

-27.9MiB live, 18.0MiB allocated; 5ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
11.8%	1	`th`
11.8%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
11.8%	1	`(*.f64 a1 a1)`
11.8%	1	`(cos.f64 th)`
11.8%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
11.8%	1	`a1`
11.8%	1	`(*.f64 a2 a2)`
11.8%	1	`a2`

Compiler

Compiled 30 to 40 computations (-33.3% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.495763855538458e-176	-7.954546756010688e-199

Compiler

Compiled 19 to 18 computations (5.3% saved)

derivations692.0ms (12.7%)

Memory

-0.1MiB live, 572.5MiB allocated; 49ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 163 to 88 computations (46% saved)

preprocess324.0ms (6%)

Memory

-2.0MiB live, 336.4MiB allocated; 90ms collecting garbage

Remove

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 3 961 to 3 182 computations (19.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (20.2%)

preprocess52.0ms (1%)

series21.0ms (0.4%)

rewrite222.0ms (4.1%)

eval33.0ms (0.6%)

prune16.0ms (0.3%)

series28.0ms (0.5%)

rewrite229.0ms (4.2%)

eval178.0ms (3.3%)

prune45.0ms (0.8%)

series98.0ms (1.8%)

rewrite186.0ms (3.4%)

eval153.0ms (2.8%)

prune55.0ms (1%)

series49.0ms (0.9%)

rewrite212.0ms (3.9%)

eval124.0ms (2.3%)

prune118.0ms (2.2%)

regimes247.0ms (4.5%)

regimes183.0ms (3.4%)

regimes175.0ms (3.2%)

regimes157.0ms (2.9%)

regimes135.0ms (2.5%)

regimes133.0ms (2.4%)

regimes145.0ms (2.7%)

regimes117.0ms (2.1%)

regimes116.0ms (2.1%)

regimes19.0ms (0.4%)

regimes27.0ms (0.5%)

regimes25.0ms (0.5%)

regimes12.0ms (0.2%)

regimes11.0ms (0.2%)

bsearch1.0ms (0%)

derivations692.0ms (12.7%)

preprocess324.0ms (6%)

end0.0ms (0%)

Profiling