Metrics for Migdal et al, Equation (64)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

sample1.1s (25.1%)

Memory

-0.0MiB live, 1 650.7MiB allocated; 316ms collecting garbage

Samples

752.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 492.0ms

ival-cos: 220.0ms (44.7% of total)

ival-mult!: 196.0ms (39.8% of total)

ival-div!: 59.0ms (12% of total)

ival-add!: 16.0ms (3.2% of total)

adjust: 2.0ms (0.4% of total)

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

Bogosity

explain131.0ms (3%)

Memory

25.2MiB live, 267.5MiB allocated; 25ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

41.0ms

512×

valid

Compiler

Compiled 135 to 40 computations (70.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-cos: 11.0ms (47.3% of total)

ival-mult!: 9.0ms (38.7% of total)

ival-div!: 2.0ms (8.6% of total)

ival-add!: 1.0ms (4.3% of total)

adjust: 0.0ms (0% of total)

preprocess62.0ms (1.4%)

Memory

-27.0MiB live, 19.6MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	133
1	163	133
2	595	133
3	1542	133
4	3030	133
5	4451	133
6	7243	133

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(+.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 38 to 24 computations (36.8% saved)

series22.0ms (0.5%)

Memory

3.7MiB live, 50.4MiB allocated; 4ms collecting garbage

Counts

12 → 34

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	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)

rewrite929.0ms (21.5%)

Memory

-65.2MiB live, 323.5MiB allocated; 1.3s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

46 → 152

Calls

Call 1

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

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

eval31.0ms (0.7%)

Memory: -65.8MiB live, 42.1MiB allocated; 11ms collecting garbage
Compiler: Compiled 4 786 to 594 computations (87.6% saved)

prune14.0ms (0.3%)

Memory

-19.2MiB live, 27.3MiB allocated; 2ms collecting garbage

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	173	14	187
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	174	14	188

Accuracy

100.0%

Counts

188 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2 (.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
	99.3%	(/.f64 (fma.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))) #s(literal 2 binary64))
	99.3%	(/.f64 (fma.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (cos.f64 th))) #s(literal 2 binary64))
	99.6%	(/.f64 (fma.f64 (.f64 (cos.f64 th) a2) a2 (.f64 (*.f64 (cos.f64 th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)))
▶	99.6%	(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
▶	68.7%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (.f64 a2 a2)))
	97.8%	(+.f64 (.f64 #s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
	29.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
	29.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
▶	68.7%	#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))))
▶	55.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
	99.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
	99.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
▶	15.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 794 to 490 computations (38.3% saved)

series39.0ms (0.9%)

Memory

26.8MiB live, 73.4MiB allocated; 3ms collecting garbage

Counts

29 → 100

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	a2	@	inf	((/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (cos th) th (+ (* a1 a1) (* a2 a2)) a1 (* a2 a2) a2 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a1 a1) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) 1 (+ (* (/ (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)) (pow 2 -1/2) -1/2)
4.0ms	th	@	inf	((/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (cos th) th (+ (* a1 a1) (* a2 a2)) a1 (* a2 a2) a2 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a1 a1) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) 1 (+ (* (/ (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)) (pow 2 -1/2) -1/2)
4.0ms	th	@	-inf	((/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (cos th) th (+ (* a1 a1) (* a2 a2)) a1 (* a2 a2) a2 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a1 a1) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) 1 (+ (* (/ (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)) (pow 2 -1/2) -1/2)
4.0ms	a1	@	0	((/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (cos th) th (+ (* a1 a1) (* a2 a2)) a1 (* a2 a2) a2 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a1 a1) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) 1 (+ (* (/ (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)) (pow 2 -1/2) -1/2)
3.0ms	a2	@	0	((/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (cos th) th (+ (* a1 a1) (* a2 a2)) a1 (* a2 a2) a2 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a1 a1) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) 1 (+ (* (/ (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)) (pow 2 -1/2) -1/2)

rewrite202.0ms (4.7%)

Memory

-21.4MiB live, 352.9MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	351	3316
0	392	2973
1	2085	2881
0	9603	2811

Stop Event

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

Counts

129 → 439

Calls

Call 1

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

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

eval64.0ms (1.5%)

Memory: -0.4MiB live, 145.9MiB allocated; 13ms collecting garbage
Compiler: Compiled 19 482 to 1 863 computations (90.4% saved)

prune28.0ms (0.7%)

Memory

21.5MiB live, 68.7MiB allocated; 1ms collecting garbage

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	548	21	569
Fresh	6	3	9
Picked	3	2	5
Done	0	0	0
Total	557	26	583

Accuracy

100.0%

Counts

583 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (fma.f64 (.f64 (cos.f64 th) a2) a2 (.f64 (*.f64 (cos.f64 th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)))
	99.6%	(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))
✓	99.6%	(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	99.3%	(/.f64 (.f64 (cos.f64 th) #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	15.5%	(/.f64 (.f64 (cos.f64 th) #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
	60.8%	(/.f64 (.f64 #s(approx (cos th) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th)) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64))) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	64.6%	(/.f64 (.f64 #s(approx (cos th) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	61.3%	(/.f64 (.f64 #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	99.6%	(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
	29.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
	68.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
	68.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
▶	35.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th)) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
	41.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
	99.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
	15.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
	43.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 a2) a2) (.f64 a1 a1))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
	99.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
	15.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))))
✓	15.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
	12.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a1 a1) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
	13.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a1 a1) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
▶	16.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a1 a1) #s(approx (/ (cos th) (sqrt 2)) (fma.f64 (/.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))))
	68.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
▶	13.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
▶	68.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))))

Compiler

Compiled 1 575 to 981 computations (37.7% saved)

series61.0ms (1.4%)

Memory

-28.6MiB live, 126.2MiB allocated; 12ms collecting garbage

Counts

48 → 149

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	th	@	0	((/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (* (cos th) a2) (cos th) th a2 (* (* (cos th) a1) a1) (* (cos th) a1) a1 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (* a1 a1) (sqrt 2)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) 1 (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) (/ (cos th) (sqrt 2)) (cos th) (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* (+ (* -1/720 (* th th)) 1/24) (* th th)) (+ (* -1/720 (* th th)) 1/24) -1/720 (* th th) 1/24 1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a1 a1) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (+ (* (/ (- (* 1/24 (* th th)) 1/2) (sqrt 2)) (* th th)) (pow 4 -1/4)) (/ (- (* 1/24 (* th th)) 1/2) (sqrt 2)) (- (* 1/24 (* th th)) 1/2) (* 1/24 (* th th)) (pow 4 -1/4) 4 -1/4)
7.0ms	th	@	-inf	((/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (* (cos th) a2) (cos th) th a2 (* (* (cos th) a1) a1) (* (cos th) a1) a1 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (* a1 a1) (sqrt 2)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) 1 (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) (/ (cos th) (sqrt 2)) (cos th) (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* (+ (* -1/720 (* th th)) 1/24) (* th th)) (+ (* -1/720 (* th th)) 1/24) -1/720 (* th th) 1/24 1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a1 a1) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (+ (* (/ (- (* 1/24 (* th th)) 1/2) (sqrt 2)) (* th th)) (pow 4 -1/4)) (/ (- (* 1/24 (* th th)) 1/2) (sqrt 2)) (- (* 1/24 (* th th)) 1/2) (* 1/24 (* th th)) (pow 4 -1/4) 4 -1/4)
6.0ms	th	@	inf	((/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (* (cos th) a2) (cos th) th a2 (* (* (cos th) a1) a1) (* (cos th) a1) a1 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (* a1 a1) (sqrt 2)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) 1 (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) (/ (cos th) (sqrt 2)) (cos th) (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* (+ (* -1/720 (* th th)) 1/24) (* th th)) (+ (* -1/720 (* th th)) 1/24) -1/720 (* th th) 1/24 1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a1 a1) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (+ (* (/ (- (* 1/24 (* th th)) 1/2) (sqrt 2)) (* th th)) (pow 4 -1/4)) (/ (- (* 1/24 (* th th)) 1/2) (sqrt 2)) (- (* 1/24 (* th th)) 1/2) (* 1/24 (* th th)) (pow 4 -1/4) 4 -1/4)
5.0ms	a2	@	-inf	((/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (* (cos th) a2) (cos th) th a2 (* (* (cos th) a1) a1) (* (cos th) a1) a1 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (* a1 a1) (sqrt 2)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) 1 (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) (/ (cos th) (sqrt 2)) (cos th) (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* (+ (* -1/720 (* th th)) 1/24) (* th th)) (+ (* -1/720 (* th th)) 1/24) -1/720 (* th th) 1/24 1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a1 a1) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (+ (* (/ (- (* 1/24 (* th th)) 1/2) (sqrt 2)) (* th th)) (pow 4 -1/4)) (/ (- (* 1/24 (* th th)) 1/2) (sqrt 2)) (- (* 1/24 (* th th)) 1/2) (* 1/24 (* th th)) (pow 4 -1/4) 4 -1/4)
5.0ms	a1	@	inf	((/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (* (cos th) a2) (cos th) th a2 (* (* (cos th) a1) a1) (* (cos th) a1) a1 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (* a1 a1) (sqrt 2)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) 1 (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ a2 a1) (/ (cos th) (sqrt 2)) (cos th) (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* (+ (* -1/720 (* th th)) 1/24) (* th th)) (+ (* -1/720 (* th th)) 1/24) -1/720 (* th th) 1/24 1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a1 a1) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (+ (* (/ (- (* 1/24 (* th th)) 1/2) (sqrt 2)) (* th th)) (pow 4 -1/4)) (/ (- (* 1/24 (* th th)) 1/2) (sqrt 2)) (- (* 1/24 (* th th)) 1/2) (* 1/24 (* th th)) (pow 4 -1/4) 4 -1/4)

rewrite190.0ms (4.4%)

Memory

-7.1MiB live, 281.6MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	511	4799
0	575	4308
1	2841	4282
0	8080	4124

Stop Event

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

Counts

197 → 512

Calls

Call 1

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

Outputs
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 a1 #s(literal 6 binary64)) (.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64))))) (neg.f64 (+.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (cos.f64 th) a2) a2)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 (cos.f64 th) a2) a2)))) #s(literal -2 binary64))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))))))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (.f64 (cos.f64 th) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (.f64 (cos.f64 th) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))))))
(/.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (neg.f64 (.f64 (.f64 (cos.f64 th) a1) a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (.f64 (*.f64 (cos.f64 th) a2) a2)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 (.f64 (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))) (.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)) (neg.f64 (.f64 (.f64 (cos.f64 th) a2) a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (.f64 (.f64 (cos.f64 th) a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (.f64 (*.f64 (cos.f64 th) a1) a1)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 (.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (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)) (neg.f64 (.f64 (.f64 (cos.f64 th) a1) a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 (cos.f64 th) a1) a1))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 a1 #s(literal 6 binary64)) (.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (+.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (cos.f64 th) a2) a2)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 (cos.f64 th) a2) a2))) #s(literal 2 binary64))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2 (.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1 (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1) (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2) (.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a2)))
(+.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 (cos.f64 th) a1) a1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (cos.f64 th) a2) a2))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (*.f64 (cos.f64 th) a1) a1))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (*.f64 (cos.f64 th) a2) a2))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 (cos.f64 th) a1) a1)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (cos.f64 th) a2) a2)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (*.f64 (cos.f64 th) a1) a1)))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (*.f64 (cos.f64 th) a2) a2)))))
(fma.f64 (.f64 a1 a1) (cos.f64 th) (.f64 (*.f64 (cos.f64 th) a2) a2))
(fma.f64 (.f64 a2 a2) (cos.f64 th) (.f64 (*.f64 (cos.f64 th) a1) a1))
(fma.f64 (.f64 (cos.f64 th) a1) a1 (.f64 (*.f64 (cos.f64 th) a2) a2))
(fma.f64 (.f64 (cos.f64 th) a2) a2 (.f64 (*.f64 (cos.f64 th) a1) a1))
(fma.f64 (cos.f64 th) (.f64 a1 a1) (.f64 (*.f64 (cos.f64 th) a2) a2))
(fma.f64 (cos.f64 th) (.f64 a2 a2) (.f64 (*.f64 (cos.f64 th) a1) a1))
(fma.f64 a1 (.f64 (cos.f64 th) a1) (.f64 (*.f64 (cos.f64 th) a2) a2))
(fma.f64 a2 (.f64 (cos.f64 th) a2) (.f64 (*.f64 (cos.f64 th) a1) a1))
(-.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (neg.f64 (.f64 a2 a2)) (cos.f64 th)))
(-.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (neg.f64 (.f64 (cos.f64 th) a1)) a1))
(+.f64 (.f64 (.f64 (cos.f64 th) a1) a1) (.f64 (.f64 (cos.f64 th) a2) a2))
(+.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (.f64 (.f64 (cos.f64 th) a1) a1))
(*.f64 (cos.f64 th) a2)
(*.f64 a2 (cos.f64 th))
(fma.f64 (sin.f64 th) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 th) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 th) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 th (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 th)))
(cos.f64 (neg.f64 th))
(cos.f64 th)
(+.f64 (.f64 (sin.f64 th) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 th) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
th
a2
(.f64 (.f64 a1 a1) (cos.f64 th))
(.f64 (.f64 (cos.f64 th) a1) a1)
(.f64 (cos.f64 th) (.f64 a1 a1))
(.f64 a1 (.f64 (cos.f64 th) a1))
(*.f64 (cos.f64 th) a1)
(*.f64 a1 (cos.f64 th))
a1
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 a1 a1))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a1)))
(*.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)))
(*.f64 (fabs.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a1)))
(*.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)))
(*.f64 (neg.f64 a1) (neg.f64 a1))
(*.f64 (fabs.f64 a1) (fabs.f64 a1))
(*.f64 a1 a1)
(pow.f64 (exp.f64 (log.f64 a1)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a1) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a1) #s(literal 2 binary64))
(pow.f64 (*.f64 a1 a1) #s(literal 1 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(fabs.f64 (*.f64 a1 a1))
(exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 a1) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 a1) #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(.f64 (.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2)
(.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (/.f64 (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 a2 a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 a2) (.f64 (/.f64 (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(fma.f64 (.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (*.f64 a2 a2) (/.f64 (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 a2)) (.f64 (/.f64 (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(+.f64 (.f64 (.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (.f64 (.f64 a2 a2) (/.f64 (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (/.f64 (pow.f64 (/.f64 a1 a2) #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 (neg.f64 (.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64))) (.f64 (neg.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))) (.f64 (neg.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))) (.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
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(/.f64 (-.f64 #s(literal 1/576 binary64) (pow.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64))))
(/.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 th #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 (pow.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (*.f64 th th) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))
(/.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 #s(literal -1/373248000 binary64) (pow.f64 th #s(literal 6 binary64)))) (+.f64 #s(literal 1/576 binary64) (-.f64 (pow.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64))))))
(fma.f64 (*.f64 #s(literal -1/720 binary64) th) th #s(literal 1/24 binary64))
(fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64))
(-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 th th)))
(+.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))
#s(literal -1/720 binary64)
(*.f64 (neg.f64 (fabs.f64 th)) (neg.f64 (fabs.f64 th)))
(*.f64 (fabs.f64 (fabs.f64 th)) (fabs.f64 (fabs.f64 th)))
(*.f64 (exp.f64 (log.f64 th)) (exp.f64 (log.f64 th)))
(*.f64 (neg.f64 (neg.f64 th)) (neg.f64 (neg.f64 th)))
(*.f64 (fabs.f64 th) (fabs.f64 th))
(*.f64 (neg.f64 th) (neg.f64 th))
(*.f64 th th)
(pow.f64 (exp.f64 (log.f64 th)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 th) #s(literal 2 binary64))
(pow.f64 (neg.f64 th) #s(literal 2 binary64))
(pow.f64 (*.f64 th th) #s(literal 1 binary64))
(pow.f64 th #s(literal 2 binary64))
(fabs.f64 (*.f64 th th))
(exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 th) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 th) #s(literal 2 binary64))))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (.f64 (.f64 a1 a1) #s(approx (/ (cos th) (sqrt 2)) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64))))))
(.f64 (.f64 a1 a1) #s(approx (/ (cos th) (sqrt 2)) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)))))
(.f64 #s(approx (/ (cos th) (sqrt 2)) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 #s(approx (/ (cos th) (sqrt 2)) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64))))))
#s(approx (/ (cos th) (sqrt 2)) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 th th)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/4 binary64)))) (neg.f64 (-.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 th #s(literal 6 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -3/4 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 th th)) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/4 binary64)) (.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 th th)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal -1/4 binary64))) (-.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 th #s(literal 6 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -3/4 binary64))) (+.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 th th)) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/4 binary64)) (.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64))))))
(fma.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64))) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64))) (/.f64 (.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 th th)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (fabs.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64))) (fabs.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64))) (/.f64 (.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 th th)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (/.f64 (-.f64 (.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) th) th (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)))
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)) (/.f64 (.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 th th)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)))
(fma.f64 (.f64 th th) (/.f64 (-.f64 (.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)))
(+.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) (/.f64 (.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 th th)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3 binary64))))) (neg.f64 (+.f64 (/.f64 (pow.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (pow.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3 binary64)))) (+.f64 (/.f64 (pow.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 (.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/24 binary64) (/.f64 (.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3 binary64)))
(+.f64 (/.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 th #s(literal 6 binary64)) #s(literal 1/13824 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 th #s(literal 6 binary64)) #s(literal 1/13824 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/24 binary64) th) th)
(.f64 (.f64 th th) #s(literal 1/24 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 th th))
(*.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64))) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64))) (fabs.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(literal 4 binary64))) #s(literal -1/4 binary64))
(pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64))
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal -1/4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 #s(literal 4 binary64)) #s(literal -1/4 binary64))) (sinh.f64 (.f64 (log.f64 #s(literal 4 binary64)) #s(literal -1/4 binary64))))
#s(literal 4 binary64)
#s(literal -1/4 binary64)
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (.f64 (.f64 (cos.f64 th) a2) a2))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))))
#s(approx (* (* (cos th) a1) a1) (.f64 (.f64 (cos.f64 th) a1) a1))
#s(approx (* (cos th) a1) (*.f64 (cos.f64 th) a1))
#s(approx a1 a1)
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 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)) (sqrt 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (* a1 a1) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* a1 a1) (*.f64 a1 a1))
#s(approx (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (/.f64 (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ a1 a2) (/.f64 a1 a2))
#s(approx (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (*.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2))) (*.f64 a1 a1)))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ a2 a1) (/.f64 a2 a1))
#s(approx (* (* a1 a1) (/ (cos th) (sqrt 2))) (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (.f64 (fma.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1)))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (.f64 (.f64 (cos.f64 th) a1) a1))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (.f64 (fma.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (.f64 a1 a1)) (cos.f64 th)) (.f64 a1 a1)))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (.f64 (fma.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)))
#s(approx (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)))
#s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (/.f64 (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (.f64 (fma.f64 (pow.f64 a2 #s(literal -2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 a1 #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1)))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 a2 #s(literal -2 binary64)) (.f64 a1 a1))))
#s(approx (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (.f64 (fma.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1)))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (fma.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (* (cos th) a2) (*.f64 (cos.f64 th) a2))
#s(approx a2 a2)
#s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (/.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (* a2 a2) (*.f64 a2 a2))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (.f64 (fma.f64 (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a2)))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (.f64 (fma.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (.f64 a2 a2)) (cos.f64 th)) (.f64 a2 a2)))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (.f64 (fma.f64 (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
#s(approx (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
#s(approx (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (.f64 (fma.f64 (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a2)))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (.f64 (+.f64 (/.f64 (cos.f64 th) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) (.f64 a2 a2)))
#s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) (fma.f64 (pow.f64 a1 #s(literal -2 binary64)) (*.f64 a2 a2) #s(literal 1 binary64)))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 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 #s(literal 1/24 binary64) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th))) (.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 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 (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 #s(literal -1/720 binary64) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th))) (.f64 th th))) (.f64 th th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 a1 a1 (*.f64 a2 a2)))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (.f64 a2 a2))) (.f64 th th) (fma.f64 a1 a1 (.f64 a2 a2))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (.f64 a2 a2))) (.f64 th th))) (.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (.f64 #s(literal -1/720 binary64) (fma.f64 a1 a1 (.f64 a2 a2))) (.f64 th th))) (.f64 th th))) (.f64 th th) (fma.f64 a1 a1 (.f64 a2 a2))))
#s(approx (* (cos th) a2) a2)
#s(approx (* (cos th) a2) (fma.f64 (.f64 (.f64 th th) a2) #s(literal -1/2 binary64) a2))
#s(approx (* (cos th) a2) (fma.f64 (fma.f64 (.f64 (.f64 th th) a2) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) a2)) (.f64 th th) a2))
#s(approx (* (cos th) a2) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) a2) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) a2)) (.f64 th th) (.f64 #s(literal -1/2 binary64) a2)) (.f64 th th) a2))
#s(approx (cos th) #s(literal 1 binary64))
#s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64)))
#s(approx th th)
#s(approx (* (* (cos th) a1) a1) (*.f64 a1 a1))
#s(approx (* (* (cos th) a1) a1) (fma.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 a1 a1)))
#s(approx (* (* (cos th) a1) a1) (fma.f64 (fma.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) (.f64 a1 a1))) (.f64 th th) (*.f64 a1 a1)))
#s(approx (* (* (cos th) a1) a1) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) #s(literal -1/720 binary64) (.f64 (.f64 a1 a1) #s(literal 1/24 binary64))) (.f64 th th) (.f64 #s(literal -1/2 binary64) (.f64 a1 a1))) (.f64 th th) (.f64 a1 a1)))
#s(approx (* (cos th) a1) a1)
#s(approx (* (cos th) a1) (fma.f64 (.f64 (.f64 th th) a1) #s(literal -1/2 binary64) a1))
#s(approx (* (cos th) a1) (fma.f64 (fma.f64 (.f64 (.f64 th th) a1) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) a1)) (.f64 th th) a1))
#s(approx (* (cos th) a1) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) a1) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) a1)) (.f64 th th) (.f64 #s(literal -1/2 binary64) a1)) (.f64 th th) a1))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 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 #s(literal 1/24 binary64) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th))) (.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 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 (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 #s(literal -1/720 binary64) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th))) (.f64 th th))) (.f64 th th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)))
#s(approx (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))))
#s(approx (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (.f64 (.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) #s(literal -1/2 binary64))) (.f64 th th) (.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))))
#s(approx (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/720 binary64) (.f64 (.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) #s(literal 1/24 binary64))) (.f64 th th) (.f64 (.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) #s(literal -1/2 binary64))) (.f64 th th) (.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (fma.f64 (.f64 (.f64 th th) (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (fma.f64 (fma.f64 (.f64 (.f64 th th) (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 th th) (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/720 binary64) (.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64))) (.f64 th th) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 th th) (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (cos th) (sqrt 2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (cos th) (sqrt 2)) (fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
#s(approx (/ (cos th) (sqrt 2)) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
#s(approx (/ (cos th) (sqrt 2)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th) (.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (.f64 th th) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (fma.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64)))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)))
#s(approx (* (+ (* -1/720 (* th th)) 1/24) (* th th)) (.f64 (.f64 th th) #s(literal 1/24 binary64)))
#s(approx (* (+ (* -1/720 (* th th)) 1/24) (* th th)) (.f64 (.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th))
#s(approx (+ (* -1/720 (* th th)) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* -1/720 (* th th)) 1/24) (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
#s(approx (* th th) (*.f64 th th))
#s(approx (* (* a1 a1) (/ (cos th) (sqrt 2))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* a1 a1) (/ (cos th) (sqrt 2))) (fma.f64 (/.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (* a1 a1) (/ (cos th) (sqrt 2))) (fma.f64 (fma.f64 (/.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (/.f64 (.f64 #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 (* (* a1 a1) (/ (cos th) (sqrt 2))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/720 binary64) (/.f64 (.f64 (.f64 a1 a1) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (- (* 1/24 (* th th)) 1/2) (sqrt 2)) (* th th)) (pow 4 -1/4)) (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)))
#s(approx (+ (* (/ (- (* 1/24 (* th th)) 1/2) (sqrt 2)) (* th th)) (pow 4 -1/4)) (fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64))))
#s(approx (+ (* (/ (- (* 1/24 (* th th)) 1/2) (sqrt 2)) (* th th)) (pow 4 -1/4)) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64))))
#s(approx (/ (- (* 1/24 (* th th)) 1/2) (sqrt 2)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (- (* 1/24 (* th th)) 1/2) (sqrt 2)) (/.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (- (* 1/24 (* th th)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* 1/24 (* th th)) 1/2) (-.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (* 1/24 (* th th)) (.f64 (.f64 th th) #s(literal 1/24 binary64)))
#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2))))
#s(approx (cos th) (cos.f64 th))
#s(approx (* (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (.f64 (.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (/ (cos th) (sqrt 2))) (*.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (cos th) (sqrt 2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (*.f64 (pow.f64 th #s(literal 6 binary64)) #s(literal -1/720 binary64)))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (.f64 (pow.f64 th #s(literal 6 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64))))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (.f64 (pow.f64 th #s(literal 6 binary64)) (-.f64 (-.f64 (.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 th #s(literal 4 binary64))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (*.f64 (pow.f64 th #s(literal 6 binary64)) (-.f64 (-.f64 (fma.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/24 binary64) (pow.f64 th #s(literal -6 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 th #s(literal 4 binary64))))))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (*.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal -1/720 binary64)))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (.f64 (pow.f64 th #s(literal 4 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64))))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (.f64 (-.f64 (-.f64 (.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 th #s(literal 4 binary64)))) (pow.f64 th #s(literal 4 binary64))))
#s(approx (* (+ (* -1/720 (* th th)) 1/24) (* th th)) (*.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal -1/720 binary64)))
#s(approx (* (+ (* -1/720 (* th th)) 1/24) (* th th)) (.f64 (pow.f64 th #s(literal 4 binary64)) (-.f64 (.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64))))
#s(approx (+ (* -1/720 (* th th)) 1/24) (.f64 (.f64 th th) #s(literal -1/720 binary64)))
#s(approx (+ (* -1/720 (* th th)) 1/24) (.f64 (-.f64 (.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (*.f64 th th)))
#s(approx (+ (* (/ (- (* 1/24 (* th th)) 1/2) (sqrt 2)) (* th th)) (pow 4 -1/4)) (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 th #s(literal 4 binary64))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (- (* 1/24 (* th th)) 1/2) (sqrt 2)) (* th th)) (pow 4 -1/4)) (.f64 (/.f64 (-.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 th #s(literal 4 binary64))))
#s(approx (+ (* (/ (- (* 1/24 (* th th)) 1/2) (sqrt 2)) (* th th)) (pow 4 -1/4)) (.f64 (fma.f64 (pow.f64 th #s(literal -4 binary64)) (pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64)) (/.f64 (-.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 th #s(literal 4 binary64))))
#s(approx (/ (- (* 1/24 (* th th)) 1/2) (sqrt 2)) (/.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (- (* 1/24 (* th th)) 1/2) (sqrt 2)) (.f64 (/.f64 (-.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th)))
#s(approx (- (* 1/24 (* th th)) 1/2) (.f64 (.f64 th th) #s(literal 1/24 binary64)))
#s(approx (- (* 1/24 (* th th)) 1/2) (.f64 (-.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 th th)))

eval85.0ms (2%)

Memory: 22.0MiB live, 161.1MiB allocated; 9ms collecting garbage
Compiler: Compiled 34 925 to 3 406 computations (90.2% saved)

prune57.0ms (1.3%)

Memory

-23.9MiB live, 75.4MiB allocated; 5ms collecting garbage

Pruning

28 alts after pruning (24 fresh and 4 done)

	Pruned	Kept	Total
New	697	9	706
Fresh	4	15	19
Picked	3	2	5
Done	0	2	2
Total	704	28	732

Accuracy

100.0%

Counts

732 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))
✓	99.6%	(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
▶	15.5%	(/.f64 (.f64 (cos.f64 th) #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
	60.8%	(/.f64 (.f64 #s(approx (cos th) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th)) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64))) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	64.6%	(/.f64 (.f64 #s(approx (cos th) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
▶	61.3%	(/.f64 (.f64 #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	99.3%	(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (.f64 (.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
	15.5%	(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (.f64 (.f64 (cos.f64 th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)))
▶	99.6%	(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
	29.3%	#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
	99.3%	#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
	13.6%	#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
	68.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
▶	68.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 a1 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
	35.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th)) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1)))
✓	35.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th)) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
	41.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (/.f64 #s(approx (cos th) #s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
	99.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
	15.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
	43.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 a2) a2) (.f64 a1 a1))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
	15.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))))
✓	15.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
	12.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a1 a1) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
	13.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a1 a1) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
▶	68.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
	13.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
✓	13.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
	68.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (/.f64 #s(approx (+ ( (/ a1 a2) (/ a1 a2)) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))

Compiler

Compiled 1 712 to 1 068 computations (37.6% saved)

series41.0ms (1%)

Memory

9.5MiB live, 56.8MiB allocated; 1ms collecting garbage

Counts

32 → 102

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	th	@	inf	((* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cos th) th (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (* a2 a2) (sqrt 2)) (* a2 a2) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (cos th) (+ (* (* th th) -1/2) 1) (* th th) -1/2 1 (+ (* a1 a1) (* a2 a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* (* a2 a2) (neg (sqrt 2))) (* (sqrt 2) (neg (* a1 a1)))) (* (sqrt 2) (neg (sqrt 2)))) (+ (* (* a2 a2) (neg (sqrt 2))) (* (sqrt 2) (neg (* a1 a1)))) (neg (sqrt 2)) (* (sqrt 2) (neg (* a1 a1))) (neg (* a1 a1)) (* (sqrt 2) (neg (sqrt 2))) (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* (cos th) (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1)))
3.0ms	a1	@	inf	((* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cos th) th (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (* a2 a2) (sqrt 2)) (* a2 a2) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (cos th) (+ (* (* th th) -1/2) 1) (* th th) -1/2 1 (+ (* a1 a1) (* a2 a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* (* a2 a2) (neg (sqrt 2))) (* (sqrt 2) (neg (* a1 a1)))) (* (sqrt 2) (neg (sqrt 2)))) (+ (* (* a2 a2) (neg (sqrt 2))) (* (sqrt 2) (neg (* a1 a1)))) (neg (sqrt 2)) (* (sqrt 2) (neg (* a1 a1))) (neg (* a1 a1)) (* (sqrt 2) (neg (sqrt 2))) (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* (cos th) (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1)))
3.0ms	a2	@	inf	((* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cos th) th (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (* a2 a2) (sqrt 2)) (* a2 a2) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (cos th) (+ (* (* th th) -1/2) 1) (* th th) -1/2 1 (+ (* a1 a1) (* a2 a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* (* a2 a2) (neg (sqrt 2))) (* (sqrt 2) (neg (* a1 a1)))) (* (sqrt 2) (neg (sqrt 2)))) (+ (* (* a2 a2) (neg (sqrt 2))) (* (sqrt 2) (neg (* a1 a1)))) (neg (sqrt 2)) (* (sqrt 2) (neg (* a1 a1))) (neg (* a1 a1)) (* (sqrt 2) (neg (sqrt 2))) (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* (cos th) (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1)))
3.0ms	a1	@	0	((* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cos th) th (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (* a2 a2) (sqrt 2)) (* a2 a2) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (cos th) (+ (* (* th th) -1/2) 1) (* th th) -1/2 1 (+ (* a1 a1) (* a2 a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* (* a2 a2) (neg (sqrt 2))) (* (sqrt 2) (neg (* a1 a1)))) (* (sqrt 2) (neg (sqrt 2)))) (+ (* (* a2 a2) (neg (sqrt 2))) (* (sqrt 2) (neg (* a1 a1)))) (neg (sqrt 2)) (* (sqrt 2) (neg (* a1 a1))) (neg (* a1 a1)) (* (sqrt 2) (neg (sqrt 2))) (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* (cos th) (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1)))
3.0ms	a2	@	-inf	((* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cos th) th (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (* a2 a2) (sqrt 2)) (* a2 a2) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (cos th) (+ (* (* th th) -1/2) 1) (* th th) -1/2 1 (+ (* a1 a1) (* a2 a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* (* a2 a2) (neg (sqrt 2))) (* (sqrt 2) (neg (* a1 a1)))) (* (sqrt 2) (neg (sqrt 2)))) (+ (* (* a2 a2) (neg (sqrt 2))) (* (sqrt 2) (neg (* a1 a1)))) (neg (sqrt 2)) (* (sqrt 2) (neg (* a1 a1))) (neg (* a1 a1)) (* (sqrt 2) (neg (sqrt 2))) (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt 2)) (* (cos th) (+ (* a2 a2) (* a1 a1))) (+ (* a2 a2) (* a1 a1)))

rewrite176.0ms (4.1%)

Memory

20.5MiB live, 305.3MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	290	3197
0	339	2901
1	1541	2772
0	8141	2712

Stop Event

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

Counts

134 → 501

Calls

Call 1

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

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

eval58.0ms (1.3%)

Memory: 4.6MiB live, 144.7MiB allocated; 9ms collecting garbage
Compiler: Compiled 15 503 to 1 732 computations (88.8% saved)

prune37.0ms (0.8%)

Memory

-8.4MiB live, 89.8MiB allocated; 5ms collecting garbage

Pruning

31 alts after pruning (25 fresh and 6 done)

	Pruned	Kept	Total
New	493	11	504
Fresh	5	14	19
Picked	3	2	5
Done	0	4	4
Total	501	31	532

Accuracy

100.0%

Counts

532 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
✓	15.5%	(/.f64 (.f64 (cos.f64 th) #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
	60.8%	(/.f64 (.f64 #s(approx (cos th) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th)) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64))) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	64.6%	(/.f64 (.f64 #s(approx (cos th) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	13.1%	(/.f64 (.f64 #s(approx (cos th) #s(approx (+ ( (* th th) -1/2) 1) (.f64 (.f64 th th) #s(literal -1/2 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	99.3%	(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (.f64 (.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))
	15.5%	(/.f64 #s(approx (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (.f64 (.f64 (cos.f64 th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)))
	99.6%	(.f64 (cos.f64 th) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
	99.3%	(.f64 (cos.f64 th) (/.f64 (fma.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
	99.3%	(.f64 (cos.f64 th) (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	15.5%	(.f64 (cos.f64 th) (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
	61.3%	(.f64 #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	99.3%	#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
	13.6%	#s(approx (/ (+ (* (* (cos th) a2) a2) (* (* (cos th) a1) a1)) (sqrt 2)) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
	68.7%	#s(approx (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt 2)) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
	68.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
	68.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (.f64 a2 (neg.f64 (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))))))
	41.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (neg (sqrt 2))) (* (sqrt 2) (neg (* a1 a1)))) (.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (.f64 a2 a2) a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) (.f64 a1 a1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
	13.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (neg (sqrt 2))) (* (sqrt 2) (neg (* a1 a1)))) (.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))))))
	68.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (neg (sqrt 2))) (* (sqrt 2) (neg (* a1 a1)))) (.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
	35.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th)) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1)))
✓	35.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th)) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
	41.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (/.f64 #s(approx (cos th) #s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
	43.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 a2) a2) (.f64 a1 a1))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
✓	15.5%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
	12.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a1 a1) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
	13.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a1 a1) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
✓	68.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
	13.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
✓	13.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
	68.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (/.f64 #s(approx (+ ( (/ a1 a2) (/ a1 a2)) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))

Compiler

Compiled 2 838 to 903 computations (68.2% saved)

regimes139.0ms (3.2%)

Memory

46.6MiB live, 308.0MiB allocated; 36ms collecting garbage

Counts

56 → 1

Calls

Call 1

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

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

Calls

8 calls:

25.0ms	(*.f64 a2 a2)
23.0ms	(cos.f64 th)
16.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
15.0ms	th
15.0ms	a2

Results

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

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes140.0ms (3.2%)

Memory

-48.0MiB live, 205.2MiB allocated; 87ms collecting garbage

Counts

40 → 1

Calls

Call 1

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

25.0ms	(*.f64 a2 a2)
21.0ms	a2
17.0ms	a1
11.0ms	(cos.f64 th)
10.0ms	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 35 to 40 computations (-14.3% saved)

regimes80.0ms (1.8%)

Memory

23.6MiB live, 166.7MiB allocated; 6ms collecting garbage

Counts

39 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
99.3%	1	`(*.f64 a2 a2)`
99.3%	1	`(*.f64 a1 a1)`
99.3%	1	`(cos.f64 th)`
99.3%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.3%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
99.3%	1	`a1`
99.3%	1	`a2`
99.3%	1	`th`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes70.0ms (1.6%)

Memory

-4.4MiB live, 140.5MiB allocated; 6ms collecting garbage

Counts

34 → 1

Calls

Call 1

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

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

Calls

8 calls:

11.0ms	th
9.0ms	a2
9.0ms	a1
9.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
8.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
99.3%	1	`(*.f64 a2 a2)`
99.3%	1	`(*.f64 a1 a1)`
99.3%	1	`(cos.f64 th)`
99.3%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.3%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
99.3%	1	`a1`
99.3%	1	`a2`
99.3%	1	`th`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes64.0ms (1.5%)

Memory

-15.0MiB live, 129.2MiB allocated; 7ms collecting garbage

Counts

30 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

9.0ms	a2
8.0ms	(*.f64 a2 a2)
8.0ms	a1
8.0ms	th
7.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
68.7%	1	`(*.f64 a2 a2)`
68.7%	1	`(*.f64 a1 a1)`
76.8%	2	`(cos.f64 th)`
76.8%	2	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
78.0%	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)))`
68.7%	1	`a1`
68.7%	1	`a2`
68.7%	1	`th`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes9.0ms (0.2%)

Memory

21.6MiB live, 21.6MiB allocated; 0ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

3.0ms

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

3.0ms

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

3.0ms

(cos.f64 th)

Results

Accuracy	Segments	Branch
71.8%	2	`(cos.f64 th)`
71.8%	2	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
73.0%	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)))`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes15.0ms (0.3%)

Memory

-12.6MiB live, 34.7MiB allocated; 2ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	(cos.f64 th)
3.0ms	a2
3.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
3.0ms	(*.f64 a2 a2)
2.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
68.7%	1	`(*.f64 a2 a2)`
68.7%	1	`a2`
68.7%	1	`(cos.f64 th)`
68.7%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
68.7%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`

Compiler

Compiled 30 to 30 computations (0% saved)

regimes12.0ms (0.3%)

Memory

-16.9MiB live, 30.7MiB allocated; 2ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
68.7%	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)))`
68.7%	1	`(*.f64 a1 a1)`
68.7%	1	`a1`
68.7%	1	`(cos.f64 th)`
68.7%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
68.7%	1	`th`
68.7%	1	`(*.f64 a2 a2)`
68.7%	1	`a2`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes8.0ms (0.2%)

Memory

24.9MiB live, 24.9MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
13.6%	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)))`
13.6%	1	`(*.f64 a1 a1)`
13.6%	1	`(cos.f64 th)`
13.6%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
13.6%	1	`a1`
13.6%	1	`th`
13.6%	1	`(*.f64 a2 a2)`
13.6%	1	`a2`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.841682262927679e-153	-1.2329368244730023e-168

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.691734943863958e-98	-1.189720161017803e-98

Compiler

Compiled 22 to 18 computations (18.2% saved)

derivations339.0ms (7.8%)

Memory

15.1MiB live, 303.8MiB allocated; 50ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 343 to 70 computations (79.6% saved)

preprocess132.0ms (3%)

Memory

-6.9MiB live, 277.4MiB allocated; 14ms collecting garbage

Remove

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 5 258 to 2 658 computations (49.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (25.1%)

explain131.0ms (3%)

preprocess62.0ms (1.4%)

series22.0ms (0.5%)

rewrite929.0ms (21.5%)

eval31.0ms (0.7%)

prune14.0ms (0.3%)

series39.0ms (0.9%)

rewrite202.0ms (4.7%)

eval64.0ms (1.5%)

prune28.0ms (0.7%)

series61.0ms (1.4%)

rewrite190.0ms (4.4%)

eval85.0ms (2%)

prune57.0ms (1.3%)

series41.0ms (1%)

rewrite176.0ms (4.1%)

eval58.0ms (1.3%)

prune37.0ms (0.8%)

regimes139.0ms (3.2%)

regimes140.0ms (3.2%)

regimes80.0ms (1.8%)

regimes70.0ms (1.6%)

regimes64.0ms (1.5%)

regimes9.0ms (0.2%)

regimes15.0ms (0.3%)

regimes12.0ms (0.3%)

regimes8.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

derivations339.0ms (7.8%)

preprocess132.0ms (3%)

end0.0ms (0%)

Profiling