Metrics for Migdal et al, Equation (64)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

sample1.5s (27.9%)

Memory

38.5MiB live, 1 848.8MiB allocated; 478ms collecting garbage

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 795.0ms

ival-cos: 325.0ms (40.9% of total)

ival-mult: 243.0ms (30.6% of total)

ival-sqrt: 97.0ms (12.2% of total)

ival-add: 64.0ms (8.1% of total)

ival-div: 56.0ms (7% of total)

exact: 6.0ms (0.8% of total)

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

adjust: 2.0ms (0.3% of total)

Bogosity

explain134.0ms (2.4%)

Memory

12.6MiB live, 204.5MiB allocated; 15ms 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

54.0ms

512×

valid

Compiler

Compiled 135 to 40 computations (70.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 13.0ms (38.1% of total)

ival-cos: 11.0ms (32.3% of total)

ival-sqrt: 4.0ms (11.7% of total)

ival-div: 3.0ms (8.8% of total)

ival-add: 2.0ms (5.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess755.0ms (13.6%)

Memory

-132.3MiB live, 201.5MiB allocated; 828ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs a1)

(abs a2)

(abs th)

(sort a1 a2)

Compiler

Compiled 19 to 12 computations (36.8% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

series21.0ms (0.4%)

Memory

-16.6MiB live, 29.2MiB allocated; 2ms 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
3.0ms	th	@	-inf	((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) th (sqrt 2) 2 (* a1 a1) a1 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* a2 a2) a2)
3.0ms	a2	@	-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)

rewrite192.0ms (3.4%)

Memory

17.4MiB live, 255.4MiB allocated; 39ms 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))

eval22.0ms (0.4%)

Memory: -4.5MiB live, 41.9MiB allocated; 2ms collecting garbage
Compiler: Compiled 4 786 to 594 computations (87.6% saved)

prune10.0ms (0.2%)

Memory

24.7MiB live, 24.7MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	176	11	187
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	177	11	188

Accuracy

100.0%

Counts

188 → 11

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)))))
	99.6%	(/.f64 (fma.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) (cos.f64 th))) #s(literal 2 binary64))
	99.6%	(/.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)))
▶	99.7%	(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
▶	66.6%	(+.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)))
	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
	33.3%	#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)))))
▶	66.6%	#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))))
▶	57.6%	#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)))
▶	99.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 520 to 338 computations (35% saved)

series40.0ms (0.7%)

Memory

-20.0MiB live, 73.7MiB allocated; 4ms 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 a2 a2) (/.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 (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 (* (* (+ (* (/ 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 (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#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 (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) #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 (/ 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
7.0ms	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))) (* (* a2 a2) (/ (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)
5.0ms	th	@	0	((/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (cos th) th (+ (* a1 a1) (* a2 a2)) a1 (* a2 a2) a2 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a2 a2) (/ (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))) (* (* a2 a2) (/ (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))) (* (* a2 a2) (/ (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))) (* (* a2 a2) (/ (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)

rewrite218.0ms (3.9%)

Memory

13.2MiB live, 197.2MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	351	3316
0	389	2973
1	2075	2881
0	9593	2811

Stop Event

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

Counts

129 → 437

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

eval79.0ms (1.4%)

Memory: -5.0MiB live, 105.9MiB allocated; 39ms collecting garbage
Compiler: Compiled 19 624 to 1 874 computations (90.5% saved)

prune45.0ms (0.8%)

Memory

-35.0MiB live, 57.9MiB allocated; 7ms collecting garbage

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	558	16	574
Fresh	6	0	6
Picked	2	3	5
Done	0	0	0
Total	566	19	585

Accuracy

100.0%

Counts

585 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.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))))
	99.3%	(/.f64 (.f64 (cos.f64 th) #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
▶	67.3%	(/.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))))
	33.3%	#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)))))
	66.6%	#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)))
▶	66.4%	#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))))))
	66.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))))
✓	66.6%	#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))))
✓	57.6%	#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)))
	39.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
▶	57.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (/.f64 (fma.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64) (.f64 a1 #s(literal 2 binary64))) (.f64 a1 #s(literal 2 binary64))) (/.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 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
	99.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))))
✓	99.2%	#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)))))
	66.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
	66.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a2 a2) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
	66.3%	#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)))))
▶	13.1%	#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)))))

Compiler

Compiled 1 096 to 680 computations (38% saved)

series69.0ms (1.2%)

Memory

12.6MiB live, 66.3MiB allocated; 9ms collecting garbage

Counts

38 → 122

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

Outputs
#s(approx (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx a1 #s(hole binary64 a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (/ (* a1 a1) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (cos th))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (/ (+ (* (* 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 (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (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) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
#s(approx (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (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) 2) (* a1 2)) (* a1 2)) #s(hole binary64 (/ (pow a2 2) (pow a1 2))))
#s(approx (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))))
#s(approx (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) #s(hole binary64 (* 2 (/ (pow a2 2) a1))))
#s(approx (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) #s(hole binary64 (/ (+ (* 2 (pow a1 2)) (* 2 (pow a2 2))) a1)))
#s(approx (* (/ a2 a1) a2) #s(hole binary64 (/ (pow a2 2) a1)))
#s(approx (/ a2 a1) #s(hole binary64 (/ a2 a1)))
#s(approx (* a1 2) #s(hole binary64 (* 2 a1)))
#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 (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (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) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (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) 2) (* a1 2)) (* a1 2)) #s(hole binary64 1))
#s(approx (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) #s(hole binary64 (+ 1 (/ (pow a2 2) (pow a1 2)))))
#s(approx (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) #s(hole binary64 (* 2 a1)))
#s(approx (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) #s(hole binary64 (* a1 (+ 2 (* 2 (/ (pow a2 2) (pow a1 2)))))))
#s(approx (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) #s(hole binary64 (* -1 (* a1 (- (* -2 (/ (pow a2 2) (pow a1 2))) 2)))))
#s(approx a2 #s(hole binary64 a2))
#s(approx (* a2 a2) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) #s(hole binary64 (+ (* 2 a1) (* 2 (/ (pow a2 2) a1)))))
#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 (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (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) 2) (* a1 2)) (* a1 2)) (/ (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) 2) (* a1 2)) (* a1 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))))
#s(approx (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) #s(hole binary64 (* (pow a2 2) (+ (* 2 (/ a1 (pow a2 2))) (* 2 (/ 1 a1))))))
#s(approx (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))
#s(approx (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (cos th) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* 1/24 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (+ (pow a1 2) (pow a2 2))))))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (+ (* (* th th) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* th th) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (* th th) #s(hole binary64 (pow th 2)))
#s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (* 1/2 (/ (* a1 (+ (* 2 a1) (* 2 (/ (pow a2 2) a1)))) (sqrt 2)))))
#s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (+ (* -1/4 (/ (* a1 (* (pow th 2) (+ (* 2 a1) (* 2 (/ (pow a2 2) a1))))) (sqrt 2))) (* 1/2 (/ (* a1 (+ (* 2 a1) (* 2 (/ (pow a2 2) a1)))) (sqrt 2))))))
#s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (+ (* 1/2 (/ (* a1 (+ (* 2 a1) (* 2 (/ (pow a2 2) a1)))) (sqrt 2))) (* (pow th 2) (+ (* -1/4 (/ (* a1 (+ (* 2 a1) (* 2 (/ (pow a2 2) a1)))) (sqrt 2))) (* 1/48 (/ (* a1 (* (pow th 2) (+ (* 2 a1) (* 2 (/ (pow a2 2) a1))))) (sqrt 2))))))))
#s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (+ (* 1/2 (/ (* a1 (+ (* 2 a1) (* 2 (/ (pow a2 2) a1)))) (sqrt 2))) (* (pow th 2) (+ (* -1/4 (/ (* a1 (+ (* 2 a1) (* 2 (/ (pow a2 2) a1)))) (sqrt 2))) (* (pow th 2) (+ (* -1/1440 (/ (* a1 (* (pow th 2) (+ (* 2 a1) (* 2 (/ (pow a2 2) a1))))) (sqrt 2))) (* 1/48 (/ (* a1 (+ (* 2 a1) (* 2 (/ (pow a2 2) a1)))) (sqrt 2))))))))))
#s(approx (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) #s(hole binary64 (* 1/2 (/ (+ (* 2 a1) (* 2 (/ (pow a2 2) a1))) (* a1 (sqrt 2))))))
#s(approx (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* -1/4 (/ (* (pow th 2) (+ (* 2 a1) (* 2 (/ (pow a2 2) a1)))) (* a1 (sqrt 2)))) (* 1/2 (/ (+ (* 2 a1) (* 2 (/ (pow a2 2) a1))) (* a1 (sqrt 2)))))))
#s(approx (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* 1/2 (/ (+ (* 2 a1) (* 2 (/ (pow a2 2) a1))) (* a1 (sqrt 2)))) (* (pow th 2) (+ (* -1/4 (/ (+ (* 2 a1) (* 2 (/ (pow a2 2) a1))) (* a1 (sqrt 2)))) (* 1/48 (/ (* (pow th 2) (+ (* 2 a1) (* 2 (/ (pow a2 2) a1)))) (* a1 (sqrt 2)))))))))
#s(approx (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* 1/2 (/ (+ (* 2 a1) (* 2 (/ (pow a2 2) a1))) (* a1 (sqrt 2)))) (* (pow th 2) (+ (* -1/4 (/ (+ (* 2 a1) (* 2 (/ (pow a2 2) a1))) (* a1 (sqrt 2)))) (* (pow th 2) (+ (* -1/1440 (/ (* (pow th 2) (+ (* 2 a1) (* 2 (/ (pow a2 2) a1)))) (* a1 (sqrt 2)))) (* 1/48 (/ (+ (* 2 a1) (* 2 (/ (pow a2 2) a1))) (* a1 (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) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(hole binary64 (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (cos th) (+ (pow a1 2) (pow a2 2)))))
#s(approx (+ (* (* th th) -1/2) 1) #s(hole binary64 (* -1/2 (pow th 2))))
#s(approx (+ (* (* th th) -1/2) 1) #s(hole binary64 (* (pow th 2) (- (/ 1 (pow th 2)) 1/2))))
#s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (* 1/2 (/ (* a1 (* (cos th) (+ (* 2 a1) (* 2 (/ (pow a2 2) a1))))) (sqrt 2)))))
#s(approx (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) #s(hole binary64 (* 1/2 (/ (* (cos th) (+ (* 2 a1) (* 2 (/ (pow a2 2) a1)))) (* a1 (sqrt 2))))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ (cos th) (sqrt 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)) (/ (* a1 a1) (sqrt 2)) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (cos th) (+ (* (* th th) -1/2) 1) (* th th) -1/2 1 (+ (* a1 a1) (* a2 a2)) (* a2 a2) (+ (* (/ (cos th) (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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* (/ a2 a1) a2) (/ a2 a1) (* a1 2) (/ (cos th) (sqrt 2)))
13.0ms	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)) (/ (* a1 a1) (sqrt 2)) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (cos th) (+ (* (* th th) -1/2) 1) (* th th) -1/2 1 (+ (* a1 a1) (* a2 a2)) (* a2 a2) (+ (* (/ (cos th) (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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* (/ a2 a1) a2) (/ a2 a1) (* a1 2) (/ (cos th) (sqrt 2)))
6.0ms	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)) (/ (* a1 a1) (sqrt 2)) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (cos th) (+ (* (* th th) -1/2) 1) (* th th) -1/2 1 (+ (* a1 a1) (* a2 a2)) (* a2 a2) (+ (* (/ (cos th) (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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* (/ a2 a1) a2) (/ a2 a1) (* a1 2) (/ (cos th) (sqrt 2)))
6.0ms	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)) (/ (* a1 a1) (sqrt 2)) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (cos th) (+ (* (* th th) -1/2) 1) (* th th) -1/2 1 (+ (* a1 a1) (* a2 a2)) (* a2 a2) (+ (* (/ (cos th) (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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* (/ a2 a1) a2) (/ a2 a1) (* a1 2) (/ (cos th) (sqrt 2)))
6.0ms	a2	@	inf	((* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cos th) th (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (* a1 a1) (sqrt 2)) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (cos th) (+ (* (* th th) -1/2) 1) (* th th) -1/2 1 (+ (* a1 a1) (* a2 a2)) (* a2 a2) (+ (* (/ (cos th) (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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* (/ a2 a1) a2) (/ a2 a1) (* a1 2) (/ (cos th) (sqrt 2)))

rewrite267.0ms (4.8%)

Memory

18.5MiB live, 247.3MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	416	4126
0	477	3740
1	2353	3527
0	10063	3400

Stop Event

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

Counts

160 → 608

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

Outputs
(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
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(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)
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th
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(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 (.f64 a2 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 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 (/.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)) (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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 (/.f64 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 #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 (.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 a1 a1) #s(literal -1 binary64)) (/.f64 (.f64 a2 a2) (sqrt.f64 #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 (.f64 a2 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 (*.f64 a2 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 (*.f64 a2 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 (*.f64 a2 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 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (neg.f64 a1) #s(literal -1 binary64)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #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 (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 (.f64 a1 (/.f64 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 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (.f64 a2 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 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (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 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (neg.f64 a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 (.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 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.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 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
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 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)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (* a2 a2) (neg (sqrt 2))) (* (sqrt 2) (neg (* a1 a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* (* a2 a2) (neg (sqrt 2))) (* (sqrt 2) (neg (* a1 a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 a1 a1) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 a1) #s(literal -1 binary64)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 a1 #s(literal -1 binary64)) (/.f64 (neg.f64 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 a1 #s(literal -1 binary64)))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (neg.f64 a1) #s(literal -1 binary64)))
(.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 a1) a1)) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 a1) a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 a1 a1) (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 (neg.f64 (neg.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 (.f64 a1 a1) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (.f64 a2 a2) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 a1 a1) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 a2 a2) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 a1 a1) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 (.f64 a1 a1) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (-.f64 (.f64 (.f64 (.f64 a2 a2) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 (.f64 a2 a2) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (.f64 (.f64 (.f64 a1 a1) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 (.f64 a2 a2) #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))))))
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(-.f64 (.f64 (/.f64 a2 a1) (.f64 a2 #s(literal 2 binary64))) (*.f64 (neg.f64 a1) #s(literal 2 binary64)))
(-.f64 (.f64 #s(literal 2 binary64) a1) (.f64 #s(literal -2 binary64) (*.f64 (/.f64 a2 a1) a2)))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 a2 a1) (.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (/.f64 a2 a1) (.f64 a2 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) a1) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 a2 a1) (.f64 a2 #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) a1))))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) a1) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (/.f64 a2 a1) (.f64 a2 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) a1) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 a2 a1) (.f64 a2 #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) a1))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) a1) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) a1) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (/.f64 a2 a1) (.f64 a2 #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) a1) (.f64 (/.f64 a2 a1) (.f64 a2 #s(literal 2 binary64))))))) (/.f64 (pow.f64 (.f64 (/.f64 a2 a1) (.f64 a2 #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) a1) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (/.f64 a2 a1) (.f64 a2 #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) a1) (.f64 (/.f64 a2 a1) (*.f64 a2 #s(literal 2 binary64))))))))
(+.f64 (.f64 (/.f64 a2 a1) (.f64 a2 #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) a1))
(+.f64 (.f64 #s(literal 2 binary64) a1) (.f64 (/.f64 a2 a1) (*.f64 a2 #s(literal 2 binary64))))
(*.f64 (/.f64 a2 a1) a2)
(*.f64 a2 (/.f64 a2 a1))
(/.f64 (neg.f64 (neg.f64 (*.f64 a2 a2))) (neg.f64 (neg.f64 a1)))
(/.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 a1))
(/.f64 (*.f64 a2 a2) a1)
(/.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a1)))
(/.f64 (neg.f64 a2) (neg.f64 a1))
(/.f64 a2 a1)
(*.f64 #s(literal 2 binary64) a1)
(*.f64 a1 #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 3 binary64)) (pow.f64 a1 #s(literal 3 binary64))) (fma.f64 a1 a1 (-.f64 (.f64 a1 a1) (.f64 a1 a1))))
(+.f64 a1 a1)
(/.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)))
#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 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
#s(approx (/ (+ (* (* a2 a2) (neg (sqrt 2))) (* (sqrt 2) (neg (* a1 a1)))) (* (sqrt 2) (neg (sqrt 2)))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* a2 a2) (neg (sqrt 2))) (* (sqrt 2) (neg (* a1 a1)))) (* (sqrt 2) (neg (sqrt 2)))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))
#s(approx (+ (* a2 a2) (* a1 a1)) (fma.f64 a1 a1 (*.f64 a2 a2)))
#s(approx (* a1 a1) (*.f64 a1 a1))
#s(approx a1 a1)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 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 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
#s(approx (/ (* 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))) (.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 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
#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 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) (neg (sqrt 2))) (* (sqrt 2) (neg (* a1 a1)))) (* (sqrt 2) (neg (sqrt 2)))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* a2 a2) (neg (sqrt 2))) (* (sqrt 2) (neg (* a1 a1)))) (* (sqrt 2) (neg (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 (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (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) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
#s(approx (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (.f64 (/.f64 (cos.f64 th) (.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (/.f64 (.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (*.f64 a1 a1)))
#s(approx (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (*.f64 (/.f64 a2 a1) (/.f64 a2 a1)))
#s(approx (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)))
#s(approx (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (.f64 (/.f64 a2 a1) (.f64 a2 #s(literal 2 binary64))))
#s(approx (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 a1 a1 (.f64 a2 a2))) a1))
#s(approx (* (/ a2 a1) a2) (*.f64 (/.f64 a2 a1) a2))
#s(approx (/ a2 a1) (/.f64 a2 a1))
#s(approx (* a1 2) (*.f64 #s(literal 2 binary64) 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 a1) a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (/ (+ (* (* a2 a2) (neg (sqrt 2))) (* (sqrt 2) (neg (* a1 a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* a2 a2) (neg (sqrt 2))) (* (sqrt 2) (neg (* a1 a1)))) (* (sqrt 2) (neg (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) (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 a1) a2) (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) (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 a1) a2) (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 a1) a2) (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) (neg (sqrt 2))) (* (sqrt 2) (neg (* a1 a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* a2 a2) (neg (sqrt 2))) (* (sqrt 2) (neg (* a1 a1)))) (* (sqrt 2) (neg (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 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 a2 a1) a2))) (.f64 a1 a1)))
#s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (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) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 th) a1) (.f64 (/.f64 a2 a1) a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 (cos.f64 th) a1) (*.f64 (/.f64 a2 a1) a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) #s(literal 1 binary64))
#s(approx (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)))
#s(approx (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (*.f64 #s(literal 2 binary64) a1))
#s(approx (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) a1) (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64)) a1))
#s(approx (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (neg.f64 (.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) a1) (*.f64 (/.f64 a2 a1) a2)) #s(literal 2 binary64)) a1)))
#s(approx a2 a2)
#s(approx (* a2 a2) (*.f64 a2 a2))
#s(approx (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 th) a2) (/.f64 (.f64 a1 a1) a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (/ (+ (* (* a2 a2) (neg (sqrt 2))) (* (sqrt 2) (neg (* a1 a1)))) (* (sqrt 2) (neg (sqrt 2)))) (.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
#s(approx (+ (* a2 a2) (* a1 a1)) (.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 th) a2) (/.f64 (.f64 a1 a1) a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (fma.f64 (/.f64 (cos.f64 th) a2) (/.f64 (.f64 a1 a1) a2) (cos.f64 th)) (*.f64 a2 a2)))
#s(approx (+ (* a2 a2) (* a1 a1)) (.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (.f64 a2 a2)))
#s(approx (/ (+ (* (* a2 a2) (neg (sqrt 2))) (* (sqrt 2) (neg (* a1 a1)))) (* (sqrt 2) (neg (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 (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (.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 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (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) 2) (* a1 2)) (* a1 2)) (fma.f64 (pow.f64 a1 #s(literal -2 binary64)) (*.f64 a2 a2) #s(literal 1 binary64)))
#s(approx (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (.f64 (fma.f64 (/.f64 a1 (.f64 a2 a2)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) a1)) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2)) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 th th)) (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th) (/.f64 (.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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th))) (.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 #s(literal -1/720 binary64) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th))) (.f64 th th))) (.f64 th th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2)) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 th th)) (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th) (/.f64 (.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) (+ (* a1 a1) (* a2 a2))) (fma.f64 a1 a1 (*.f64 a2 a2)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2)) (fma.f64 a1 a1 (.f64 a2 a2))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(literal -1/2 binary64))) (.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 th th)) (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (.f64 a2 a2)))) (.f64 th th) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(literal -1/2 binary64))) (.f64 th th) (fma.f64 a1 a1 (.f64 a2 a2))))
#s(approx (+ (* (* th th) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* th th) -1/2) 1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* th th) (*.f64 th th))
#s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (.f64 (.f64 a1 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1)) a1) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 a1 (.f64 th th)) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1))))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (fma.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1)) a1) (.f64 #s(literal 1/48 binary64) (.f64 (.f64 a1 (.f64 th th)) (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1))))) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th) (.f64 (.f64 a1 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
#s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1)) a1) (.f64 #s(literal -1/1440 binary64) (.f64 (.f64 a1 (.f64 th th)) (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1))))) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th) (.f64 #s(literal -1/4 binary64) (.f64 a1 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1)) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 th th) (.f64 (.f64 a1 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
#s(approx (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (.f64 (/.f64 #s(literal 1/2 binary64) a1) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 th th) (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1))) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
#s(approx (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (fma.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1)) a1) (.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 (.f64 th th) (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1))) (.f64 #s(literal -1/4 binary64) (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 th th))))
#s(approx (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1)) a1) (.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1)) (.f64 #s(literal -1/1440 binary64) (.f64 (.f64 th th) (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (.f64 th th))) (.f64 th th) (.f64 (/.f64 #s(literal 1/2 binary64) a1) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 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 (*.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 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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
#s(approx (cos th) (cos.f64 th))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)))
#s(approx (+ (* (* th th) -1/2) 1) (.f64 (.f64 th th) #s(literal -1/2 binary64)))
#s(approx (+ (* (* th th) -1/2) 1) (.f64 (-.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/2 binary64)) (.f64 th th)))
#s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (.f64 (/.f64 (.f64 (.f64 a1 (cos.f64 th)) (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (.f64 (/.f64 #s(literal 1/2 binary64) a1) (/.f64 (.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1)) (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))))

eval95.0ms (1.7%)

Memory: 13.0MiB live, 101.1MiB allocated; 13ms collecting garbage
Compiler: Compiled 25 179 to 2 537 computations (89.9% saved)

prune52.0ms (0.9%)

Memory

9.0MiB live, 63.6MiB allocated; 10ms collecting garbage

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	663	11	674
Fresh	2	9	11
Picked	3	2	5
Done	1	2	3
Total	669	24	693

Accuracy

100.0%

Counts

693 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(/.f64 (.f64 (cos.f64 th) #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	20.1%	(/.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)))
▶	99.6%	(.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)))
✓	99.6%	(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #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))))
	67.3%	(.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))))
	66.6%	#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)))
	66.4%	#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))))))
	66.6%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))))
✓	66.6%	#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))))
	39.6%	#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 (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 a2 a1) a2))) (.f64 a1 a1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
	66.1%	#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 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))))))
	39.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (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 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
	99.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))))
✓	99.2%	#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)))))
▶	66.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
	66.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a2 a2) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
	13.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (* a2 a2) (neg (sqrt 2))) (* (sqrt 2) (neg (* a1 a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
▶	66.3%	#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)))))
✓	13.1%	#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)))))
	13.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (.f64 (/.f64 (.f64 a1 a1) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))))
▶	25.9%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1)) a1) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 a1 (.f64 th th)) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1))))) (sqrt.f64 #s(literal 2 binary64)))))
▶	58.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (.f64 (.f64 a1 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))))

Compiler

Compiled 1 601 to 939 computations (41.3% saved)

series108.0ms (2%)

Memory

-35.2MiB live, 102.9MiB allocated; 11ms collecting garbage

Counts

41 → 145

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
26.0ms	a1	@	0	((* (cos th) (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2)) (cos th) th (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2) (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) (* a2 a2) a2 (sqrt 2) 2 (* (* a1 a1) (sqrt 2)) (* a1 a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (* a2 a2) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a2 a2) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (cos th) (+ (* (* th th) -1/2) 1) (* th th) -1/2 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (* a1 (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2))) 1/2) (* a1 (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2))) (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2)) (* 2 (+ (* (/ a2 a1) a2) a1)) (+ (* (/ a2 a1) a2) a1) (/ a2 a1) 1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (/ (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (sqrt 2)) (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1)))) -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))) (* a1 (* th th)))
21.0ms	a2	@	inf	((* (cos th) (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2)) (cos th) th (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2) (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) (* a2 a2) a2 (sqrt 2) 2 (* (* a1 a1) (sqrt 2)) (* a1 a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (* a2 a2) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a2 a2) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (cos th) (+ (* (* th th) -1/2) 1) (* th th) -1/2 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (* a1 (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2))) 1/2) (* a1 (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2))) (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2)) (* 2 (+ (* (/ a2 a1) a2) a1)) (+ (* (/ a2 a1) a2) a1) (/ a2 a1) 1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (/ (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (sqrt 2)) (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1)))) -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))) (* a1 (* th th)))
7.0ms	a1	@	-inf	((* (cos th) (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2)) (cos th) th (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2) (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) (* a2 a2) a2 (sqrt 2) 2 (* (* a1 a1) (sqrt 2)) (* a1 a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (* a2 a2) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a2 a2) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (cos th) (+ (* (* th th) -1/2) 1) (* th th) -1/2 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (* a1 (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2))) 1/2) (* a1 (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2))) (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2)) (* 2 (+ (* (/ a2 a1) a2) a1)) (+ (* (/ a2 a1) a2) a1) (/ a2 a1) 1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (/ (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (sqrt 2)) (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1)))) -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))) (* a1 (* th th)))
7.0ms	a1	@	inf	((* (cos th) (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2)) (cos th) th (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2) (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) (* a2 a2) a2 (sqrt 2) 2 (* (* a1 a1) (sqrt 2)) (* a1 a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (* a2 a2) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a2 a2) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (cos th) (+ (* (* th th) -1/2) 1) (* th th) -1/2 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (* a1 (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2))) 1/2) (* a1 (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2))) (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2)) (* 2 (+ (* (/ a2 a1) a2) a1)) (+ (* (/ a2 a1) a2) a1) (/ a2 a1) 1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (/ (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (sqrt 2)) (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1)))) -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))) (* a1 (* th th)))
6.0ms	a2	@	0	((* (cos th) (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2)) (cos th) th (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2) (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) (* a2 a2) a2 (sqrt 2) 2 (* (* a1 a1) (sqrt 2)) (* a1 a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (* a2 a2) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* a2 a2) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (cos th) (+ (* (* th th) -1/2) 1) (* th th) -1/2 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (* a1 (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2))) 1/2) (* a1 (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2))) (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2)) (* 2 (+ (* (/ a2 a1) a2) a1)) (+ (* (/ a2 a1) a2) a1) (/ a2 a1) 1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (/ (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (sqrt 2)) (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1)))) -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))) (* a1 (* th th)))

rewrite212.0ms (3.8%)

Memory

-3.2MiB live, 141.6MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	546	5485
0	601	5032
1	3176	4966
0	8687	4821

Stop Event

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

Counts

186 → 407

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th))) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th)) #s(literal 2 binary64))
(fma.f64 (sin.f64 th) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 th) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 th) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 th (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 th)))
(cos.f64 (neg.f64 th))
(cos.f64 th)
(+.f64 (.f64 (sin.f64 th) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 th) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
th
(/.f64 (neg.f64 (-.f64 (/.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 #s(literal 2 binary64) #s(literal 3/2 binary64))) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))))) (neg.f64 (+.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))))) #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 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 4 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 #s(literal 2 binary64) #s(literal 3/2 binary64))) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 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 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) #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 (.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 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 a1 #s(literal 6 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 a2 #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 a2 #s(literal 6 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 a1 #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.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))) (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.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))) (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 a1 #s(literal 6 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 a2 #s(literal 6 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.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))) (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))))
(fma.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1) (.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2) (.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (*.f64 a2 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 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (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
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 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 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))
(.f64 a1 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(*.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a1)))
(*.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)))
(*.f64 (fabs.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a1)))
(*.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)))
(*.f64 (neg.f64 a1) (neg.f64 a1))
(*.f64 (fabs.f64 a1) (fabs.f64 a1))
(*.f64 a1 a1)
(pow.f64 (exp.f64 (log.f64 a1)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a1) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a1) #s(literal 2 binary64))
(pow.f64 (*.f64 a1 a1) #s(literal 1 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(fabs.f64 (*.f64 a1 a1))
(exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 a1) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 a1) #s(literal 2 binary64))))
a1
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 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)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 #s(approx (cos th) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
(.f64 a2 (.f64 a2 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (.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 (.f64 a2 a2) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 #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 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 th th) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (*.f64 th th) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 th th) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 th th) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (*.f64 th th) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 th th) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))
(fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th)))
(+.f64 (.f64 (.f64 th th) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (fabs.f64 th)) (neg.f64 (fabs.f64 th)))
(*.f64 (fabs.f64 (fabs.f64 th)) (fabs.f64 (fabs.f64 th)))
(*.f64 (exp.f64 (log.f64 th)) (exp.f64 (log.f64 th)))
(*.f64 (neg.f64 (neg.f64 th)) (neg.f64 (neg.f64 th)))
(*.f64 (fabs.f64 th) (fabs.f64 th))
(*.f64 (neg.f64 th) (neg.f64 th))
(*.f64 th th)
(pow.f64 (exp.f64 (log.f64 th)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 th) #s(literal 2 binary64))
(pow.f64 (neg.f64 th) #s(literal 2 binary64))
(pow.f64 (*.f64 th th) #s(literal 1 binary64))
(pow.f64 th #s(literal 2 binary64))
(fabs.f64 (*.f64 th th))
(exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 th) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 th) #s(literal 2 binary64))))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (/.f64 (.f64 (.f64 (*.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (/.f64 (.f64 (.f64 (*.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (*.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (*.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) (sqrt.f64 #s(literal 2 binary64))))
(.f64 a1 (.f64 (/.f64 (*.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 (*.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (*.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) a1)
(.f64 a1 (/.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 a2 a1) a2 a1) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 a1 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 a1 #s(literal 2 binary64)) (.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 a1 #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64)) (.f64 a1 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a1 #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 a1 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 a1 #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 a1 #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 a1 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64)) (*.f64 a1 #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64)) (.f64 a1 a1)) (-.f64 (.f64 (/.f64 a2 a1) a2) a1) (.f64 (-.f64 (.f64 (/.f64 a2 a1) a2) a1) (-.f64 (pow.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64)) (.f64 a1 a1)))) (.f64 (-.f64 (.f64 (/.f64 a2 a1) a2) a1) (-.f64 (.f64 (/.f64 a2 a1) a2) a1)))
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64)) (.f64 a1 a1)) (-.f64 a1 (.f64 (/.f64 a2 a1) a2)) (.f64 (-.f64 (.f64 (/.f64 a2 a1) a2) a1) (-.f64 (.f64 a1 a1) (pow.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64))))) (.f64 (-.f64 (.f64 (/.f64 a2 a1) a2) a1) (-.f64 a1 (.f64 (/.f64 a2 a1) a2))))
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64)) (.f64 a1 a1)) (+.f64 (pow.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64)) (-.f64 (.f64 a1 a1) (.f64 (.f64 (/.f64 a2 a1) a2) a1))) (.f64 (-.f64 (.f64 (/.f64 a2 a1) a2) a1) (+.f64 (pow.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 3 binary64)) (pow.f64 a1 #s(literal 3 binary64))))) (.f64 (-.f64 (.f64 (/.f64 a2 a1) a2) a1) (+.f64 (pow.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64)) (-.f64 (.f64 a1 a1) (.f64 (*.f64 (/.f64 a2 a1) a2) a1)))))
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64)) (.f64 a1 a1)) (fma.f64 a1 a1 (-.f64 (pow.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64)) (.f64 a1 (.f64 (/.f64 a2 a1) a2)))) (.f64 (-.f64 (.f64 (/.f64 a2 a1) a2) a1) (+.f64 (pow.f64 a1 #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 3 binary64))))) (.f64 (-.f64 (.f64 (/.f64 a2 a1) a2) a1) (fma.f64 a1 a1 (-.f64 (pow.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64)) (.f64 a1 (*.f64 (/.f64 a2 a1) a2))))))
(/.f64 (fma.f64 (-.f64 (.f64 a1 a1) (pow.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 a2 a1) a2) a1) (.f64 (-.f64 a1 (.f64 (/.f64 a2 a1) a2)) (-.f64 (pow.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64)) (.f64 a1 a1)))) (.f64 (-.f64 a1 (.f64 (/.f64 a2 a1) a2)) (-.f64 (.f64 (/.f64 a2 a1) a2) a1)))
(/.f64 (fma.f64 (-.f64 (.f64 a1 a1) (pow.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64))) (-.f64 a1 (.f64 (/.f64 a2 a1) a2)) (.f64 (-.f64 a1 (.f64 (/.f64 a2 a1) a2)) (-.f64 (.f64 a1 a1) (pow.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64))))) (.f64 (-.f64 a1 (.f64 (/.f64 a2 a1) a2)) (-.f64 a1 (.f64 (/.f64 a2 a1) a2))))
(/.f64 (fma.f64 (-.f64 (.f64 a1 a1) (pow.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64)) (-.f64 (.f64 a1 a1) (.f64 (.f64 (/.f64 a2 a1) a2) a1))) (.f64 (-.f64 a1 (.f64 (/.f64 a2 a1) a2)) (+.f64 (pow.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 3 binary64)) (pow.f64 a1 #s(literal 3 binary64))))) (.f64 (-.f64 a1 (.f64 (/.f64 a2 a1) a2)) (+.f64 (pow.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64)) (-.f64 (.f64 a1 a1) (.f64 (*.f64 (/.f64 a2 a1) a2) a1)))))
(/.f64 (fma.f64 (-.f64 (.f64 a1 a1) (pow.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64))) (fma.f64 a1 a1 (-.f64 (pow.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64)) (.f64 a1 (.f64 (/.f64 a2 a1) a2)))) (.f64 (-.f64 a1 (.f64 (/.f64 a2 a1) a2)) (+.f64 (pow.f64 a1 #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 3 binary64))))) (.f64 (-.f64 a1 (.f64 (/.f64 a2 a1) a2)) (fma.f64 a1 a1 (-.f64 (pow.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64)) (.f64 a1 (*.f64 (/.f64 a2 a1) a2))))))
(/.f64 (fma.f64 (+.f64 (pow.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 3 binary64)) (pow.f64 a1 #s(literal 3 binary64))) (-.f64 (.f64 (/.f64 a2 a1) a2) a1) (.f64 (+.f64 (pow.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64)) (-.f64 (.f64 a1 a1) (.f64 (.f64 (/.f64 a2 a1) a2) a1))) (-.f64 (pow.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64)) (.f64 a1 a1)))) (.f64 (+.f64 (pow.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64)) (-.f64 (.f64 a1 a1) (.f64 (.f64 (/.f64 a2 a1) a2) a1))) (-.f64 (*.f64 (/.f64 a2 a1) a2) a1)))
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(fma.f64 #s(literal 2 binary64) a1 (.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64)))
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(/.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a1)))
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#s(literal 1/2 binary64)
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(fma.f64 (/.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (.f64 (*.f64 a1 th) th)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (.f64 (.f64 a1 th) th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (*.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (.f64 (*.f64 a1 th) th)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(fma.f64 a1 (.f64 (/.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 (/.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (.f64 (*.f64 a1 th) th)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(-.f64 (.f64 (/.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (.f64 (.f64 a1 th) th)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (.f64 (.f64 a1 th) th)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (.f64 (.f64 a1 th) th)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (.f64 (.f64 a1 th) th)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (.f64 (.f64 a1 th) th)) #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 (pow.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (.f64 (.f64 a1 th) th)) #s(literal 3 binary64)) #s(literal -1/64 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (.f64 (.f64 a1 th) th)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (.f64 (.f64 a1 th) th)) #s(literal -1/4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (.f64 (.f64 a1 th) th)) #s(literal -1/4 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (.f64 (.f64 a1 th) th)) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 (pow.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (.f64 (.f64 a1 th) th)) #s(literal 3 binary64)) #s(literal -1/64 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (.f64 (.f64 a1 th) th)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (.f64 (.f64 a1 th) th)) #s(literal -1/4 binary64))))))
(fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 a1 th) th)) (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64))) a1 (.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (.f64 (*.f64 a1 th) th)) #s(literal -1/4 binary64)))
(fma.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (.f64 (.f64 a1 th) th)) #s(literal -1/4 binary64) (.f64 (.f64 (*.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (.f64 (*.f64 a1 th) th)) #s(literal -1/4 binary64)))
(fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (.f64 (.f64 a1 th) th)) (.f64 (.f64 (*.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) (.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (.f64 (*.f64 a1 th) th)) #s(literal -1/4 binary64)))
(-.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (.f64 (.f64 a1 th) th))))
(+.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (.f64 (.f64 a1 th) th)) #s(literal -1/4 binary64)) (.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (.f64 (.f64 a1 th) th)) #s(literal -1/4 binary64)))
(.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1)
(.f64 a1 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) a1))
(fma.f64 (.f64 a1 #s(literal 2 binary64)) a1 (.f64 (.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64)) a1))
(fma.f64 a1 (.f64 a1 #s(literal 2 binary64)) (.f64 a1 (.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 a1 #s(literal 2 binary64)) a1) (.f64 (.f64 (*.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64)) a1))
(+.f64 (.f64 a1 (.f64 a1 #s(literal 2 binary64))) (.f64 a1 (.f64 (*.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 a1 th) th)) (*.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (.f64 (*.f64 a1 th) th)) #s(literal -1/4 binary64))
(.f64 #s(literal -1/4 binary64) (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (.f64 (*.f64 a1 th) th)))
#s(literal -1/4 binary64)
(.f64 (.f64 (.f64 (.f64 a1 th) th) #s(literal 2 binary64)) (fma.f64 (/.f64 a2 a1) a2 a1))
(.f64 (.f64 (.f64 th th) (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64))) a1)
(.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (.f64 (.f64 a1 th) th))
(.f64 (.f64 (.f64 a1 th) th) (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)))
(.f64 a1 (.f64 (.f64 th th) (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64))))
(.f64 (.f64 a1 th) th)
(.f64 (.f64 th th) a1)
(.f64 a1 (.f64 th th))
#s(approx (* (cos th) (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (* (cos th) (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2)) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 a2 a2)))))
#s(approx (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))))
#s(approx (* (* a1 a1) (sqrt 2)) (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* a1 a1) (*.f64 a1 a1))
#s(approx a1 a1)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2))))
#s(approx (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (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) 2) (* a1 2)) (* a1 2)) (/ (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 (* (* a1 (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2))) 1/2) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* a1 (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2))) 1/2) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* a1 (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2))) (/.f64 (.f64 (.f64 a2 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* a1 (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2))) (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2)) (/.f64 (.f64 (.f64 a2 a2) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
#s(approx (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2)) (/.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) a1))
#s(approx (* 2 (+ (* (/ a2 a1) a2) a1)) (.f64 (.f64 (/.f64 a2 a1) a2) #s(literal 2 binary64)))
#s(approx (* 2 (+ (* (/ a2 a1) a2) a1)) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 a1 a1 (.f64 a2 a2))) a1))
#s(approx (+ (* (/ a2 a1) a2) a1) (*.f64 (/.f64 a2 a1) a2))
#s(approx (+ (* (/ a2 a1) a2) a1) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) a1))
#s(approx (/ a2 a1) (/.f64 a2 a1))
#s(approx (/ (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (sqrt 2)) (/.f64 (fma.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (sqrt 2)) (fma.f64 (/.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (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))) (.f64 a1 a1) (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (fma.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 a2 a2)))
#s(approx (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (fma.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 a1 a1) (.f64 a2 a2))))
#s(approx (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1) (.f64 (.f64 a2 a2) #s(literal 2 binary64)))
#s(approx (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1) (.f64 #s(literal 2 binary64) (fma.f64 a1 a1 (.f64 a2 a2))))
#s(approx (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1)))) (.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
#s(approx (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1)))) (.f64 #s(literal -1/2 binary64) (+.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) (pow.f64 (*.f64 th a2) #s(literal 2 binary64)))))
#s(approx (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))) (.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))) (.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) (pow.f64 (*.f64 th a2) #s(literal 2 binary64)))))
#s(approx (* a1 (* th th)) (.f64 (.f64 a1 th) th))
#s(approx (* (cos th) (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (* (cos th) (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2)) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (.f64 a2 a2)) (.f64 a1 a1)))) (*.f64 a1 a1)))
#s(approx (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) (.f64 (fma.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.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))) (.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 (fma.f64 (/.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1)))
#s(approx (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2) (.f64 (+.f64 (/.f64 (.f64 a2 a2) (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 a1 a1)))
#s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (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) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (.f64 (fma.f64 (/.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1)))
#s(approx (* (* a1 (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2))) 1/2) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* a1 (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2))) 1/2) (.f64 (+.f64 (/.f64 (.f64 a2 a2) (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 a1 a1)))
#s(approx (* a1 (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2))) (/.f64 (.f64 (.f64 a1 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* a1 (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2))) (.f64 (fma.f64 (/.f64 (.f64 a2 a2) (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(approx (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2)) (.f64 (fma.f64 (/.f64 (.f64 a2 a2) (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) a1))
#s(approx (* 2 (+ (* (/ a2 a1) a2) a1)) (*.f64 a1 #s(literal 2 binary64)))
#s(approx (* 2 (+ (* (/ a2 a1) a2) a1)) (.f64 (fma.f64 (/.f64 (.f64 a2 a2) (*.f64 a1 a1)) #s(literal 2 binary64) #s(literal 2 binary64)) a1))
#s(approx (+ (* (/ a2 a1) a2) a1) a1)
#s(approx (+ (* (/ a2 a1) a2) a1) (.f64 (+.f64 (/.f64 (.f64 a2 a2) (*.f64 a1 a1)) #s(literal 1 binary64)) a1))
#s(approx (/ (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (sqrt 2)) (/.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (sqrt 2)) (.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 a2 a2) (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) (.f64 a1 a1)))
#s(approx (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) (.f64 a1 a1)) (.f64 th th)) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1) (.f64 (.f64 a1 a1) #s(literal 2 binary64)))
#s(approx (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1) (.f64 (fma.f64 (/.f64 (.f64 a2 a2) (.f64 a1 a1)) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 a1 a1)))
#s(approx (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1)))) (.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
#s(approx (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1)))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) (.f64 a1 a1)) (.f64 th th))) (.f64 a1 a1)))
#s(approx (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))) (.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) (.f64 a1 a1)) (.f64 th th))) (.f64 a1 a1)))
#s(approx (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2)) (neg.f64 (.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 a2 a2) (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) a1)))
#s(approx (* 2 (+ (* (/ a2 a1) a2) a1)) (neg.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 a2 a2)) (.f64 a1 a1)) #s(literal 2 binary64)) a1)))
#s(approx (+ (* (/ a2 a1) a2) a1) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (.f64 a2 a2) (*.f64 a1 a1))) #s(literal 1 binary64)) a1)))
#s(approx (* a2 a2) (*.f64 a2 a2))
#s(approx a2 a2)
#s(approx (/ (* a2 a2) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2)) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (/.f64 a2 a1) a2) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* 2 (+ (* (/ a2 a1) a2) a1)) (*.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)))
#s(approx (+ (* (/ a2 a1) a2) a1) (fma.f64 (/.f64 a2 a1) a2 a1))
#s(approx (/ (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (sqrt 2)) (/.f64 (fma.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (sqrt 2)) (fma.f64 (/.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (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))) (.f64 a2 a2) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (fma.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 a1 a1)))
#s(approx (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (fma.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 a2 a2) (.f64 a1 a1))))
#s(approx (* (cos th) (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2)) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (.f64 a2 a2)))) (*.f64 a2 a2)))
#s(approx (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) (.f64 (fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (fma.f64 (/.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a2)))
#s(approx (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2) (.f64 (+.f64 (/.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 a2 a2)))
#s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (.f64 (fma.f64 (/.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a2)))
#s(approx (* (* a1 (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2))) 1/2) (.f64 (+.f64 (/.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 a2 a2)))
#s(approx (* a1 (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2))) (.f64 (fma.f64 (/.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2)) (.f64 (fma.f64 (/.f64 (/.f64 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) (.f64 a2 a2)))
#s(approx (* 2 (+ (* (/ a2 a1) a2) a1)) (.f64 (fma.f64 (/.f64 a1 (.f64 a2 a2)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) a1)) (*.f64 a2 a2)))
#s(approx (+ (* (/ a2 a1) a2) a1) (.f64 (+.f64 (pow.f64 a1 #s(literal -1 binary64)) (/.f64 a1 (.f64 a2 a2))) (*.f64 a2 a2)))
#s(approx (/ (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (sqrt 2)) (/.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (sqrt 2)) (.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 a1 a1) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) (.f64 a2 a2)))
#s(approx (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 a2 a2)))
#s(approx (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 th th)) (/.f64 (.f64 a1 a1) (.f64 a2 a2))) #s(literal 1 binary64)) (*.f64 a2 a2)))
#s(approx (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1) (.f64 (fma.f64 (/.f64 (.f64 a1 a1) (.f64 a2 a2)) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 a2 a2)))
#s(approx (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1)))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 th th))) (.f64 a2 a2)))
#s(approx (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (pow.f64 (.f64 th a1) #s(literal 2 binary64)) (.f64 a2 a2)) (.f64 th th))) (.f64 a2 a2)))
#s(approx (* (cos th) (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (* (cos th) (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2)) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 th th)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))))
#s(approx (* (cos th) (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2)) (fma.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) (.f64 th th)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) #s(literal -1/4 binary64))) (.f64 th th) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))))
#s(approx (* (cos th) (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/1440 binary64) (.f64 th th)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) (.f64 #s(literal 1/48 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))))) (.f64 th th) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) #s(literal -1/4 binary64))) (.f64 th th) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))))
#s(approx (cos th) #s(literal 1 binary64))
#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 th th) #s(literal 1/24 binary64)) (.f64 th th)) #s(literal 1/2 binary64)) (.f64 th th) #s(literal 1 binary64)))
#s(approx th th)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (.f64 #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))) (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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (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 a2) (/ (cos th) (sqrt 2))) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (* a2 a2) (/ (cos th) (sqrt 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 (.f64 th a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.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 a2 (/.f64 a2 (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 #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 (fma.f64 #s(literal -1/720 binary64) (/.f64 (.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th) (.f64 #s(literal -1/2 binary64) (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 (+ (* (* th th) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* th th) -1/2) 1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* th th) (*.f64 th th))
#s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (/.f64 (.f64 (.f64 (*.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (.f64 (.f64 a1 th) th)) #s(literal -1/4 binary64) (.f64 (.f64 (*.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (.f64 (.f64 a1 th) th)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/48 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th) (/.f64 (.f64 (.f64 (*.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) (.f64 (.f64 a1 th) th)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/1440 binary64) (/.f64 (.f64 #s(literal 1/48 binary64) (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 th th) (/.f64 (.f64 (.f64 (*.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64)) a1) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (sqrt 2)) (/.f64 (*.f64 (fma.f64 (/.f64 a2 a1) a2 a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (sqrt 2)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 a1 th) th) (fma.f64 (/.f64 a2 a1) a2 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (*.f64 (fma.f64 (/.f64 a2 a1) a2 a1) a1))
#s(approx (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (fma.f64 (.f64 #s(literal -1/2 binary64) a1) (.f64 (.f64 th th) (fma.f64 (/.f64 a2 a1) a2 a1)) (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) a1)))
#s(approx (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1)))) (.f64 (.f64 #s(literal -1/2 binary64) a1) (.f64 (.f64 th th) (fma.f64 (/.f64 a2 a1) a2 a1))))
#s(approx (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))) (.f64 (.f64 a1 #s(literal 2 binary64)) (.f64 (.f64 th th) (fma.f64 (/.f64 a2 a1) a2 a1))))
#s(approx (* (cos th) (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 th)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2)))))
#s(approx (cos th) (cos.f64 th))
#s(approx (/ (cos th) (sqrt 2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* th th) -1/2) 1) (.f64 (.f64 th th) #s(literal -1/2 binary64)))
#s(approx (+ (* (* th th) -1/2) 1) (.f64 (-.f64 (pow.f64 th #s(literal -2 binary64)) #s(literal 1/2 binary64)) (.f64 th th)))
#s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (.f64 (/.f64 (.f64 (.f64 a1 (cos.f64 th)) (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (sqrt 2)) (.f64 (/.f64 (.f64 (.f64 (.f64 a1 th) th) (fma.f64 (/.f64 a2 a1) a2 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (sqrt 2)) (.f64 (fma.f64 (/.f64 a1 (.f64 th th)) (/.f64 (fma.f64 (/.f64 a2 a1) a2 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)))
#s(approx (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (.f64 (.f64 #s(literal -1/2 binary64) a1) (.f64 (.f64 th th) (fma.f64 (/.f64 a2 a1) a2 a1))))
#s(approx (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a1) (fma.f64 (/.f64 a2 a1) a2 a1) (/.f64 (.f64 (fma.f64 (/.f64 a2 a1) a2 a1) a1) (.f64 th th))) (*.f64 th th)))

eval112.0ms (2%)

Memory: 30.7MiB live, 128.2MiB allocated; 16ms collecting garbage
Compiler: Compiled 44 825 to 3 274 computations (92.7% saved)

prune71.0ms (1.3%)

Memory

-19.1MiB live, 119.3MiB allocated; 12ms collecting garbage

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	667	16	683
Fresh	7	8	15
Picked	3	2	5
Done	3	1	4
Total	680	27	707

Accuracy

100.0%

Counts

707 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(/.f64 (.f64 (cos.f64 th) #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
✓	99.6%	(.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))))
	99.6%	(.f64 (cos.f64 th) #s(approx (/ (+ ( (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))))
	99.3%	(.f64 (cos.f64 th) #s(approx (/ (+ ( (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
	66.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.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))))))
	67.0%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (.f64 a2 a2) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
	39.6%	#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 (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 a2 a1) a2))) (.f64 a1 a1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
	66.1%	#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 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))))))
	39.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (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 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
	20.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) (.f64 (.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
	66.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
	66.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
	13.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (* a2 a2) (neg (sqrt 2))) (* (sqrt 2) (neg (* a1 a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
	66.2%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a2 a2) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))))
✓	66.3%	#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)))))
✓	13.1%	#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)))))
	49.3%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1)) a1) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 a1 (.f64 th th)) (.f64 #s(literal 2 binary64) #s(approx (+ ( (/ a2 a1) a2) a1) a1))))) (sqrt.f64 #s(literal 2 binary64)))))
	58.7%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (/.f64 #s(approx (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (*.f64 (fma.f64 (/.f64 a2 a1) a2 a1) a1)) (sqrt.f64 #s(literal 2 binary64)))))
	13.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (/.f64 #s(approx (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))))
	58.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (.f64 (.f64 a1 (/.f64 (.f64 #s(literal 2 binary64) #s(approx (+ ( (/ a2 a1) a2) a1) (*.f64 (/.f64 a2 a1) a2))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
	52.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (.f64 (.f64 a1 (/.f64 #s(approx (* 2 (+ (* (/ a2 a1) a2) a1)) (.f64 (fma.f64 (/.f64 a1 (.f64 a2 a2)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) a1)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
	58.4%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (.f64 (.f64 a1 #s(approx (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2)) (/.f64 (.f64 (.f64 a2 a2) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) #s(literal 1/2 binary64))))
	13.1%	#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (.f64 #s(approx ( a1 (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2))) (/.f64 (.f64 (.f64 a1 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
	66.6%	#s(approx (* (cos th) (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
	99.3%	#s(approx (* (cos th) (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))

Compiler

Compiled 3 365 to 985 computations (70.7% saved)

regimes146.0ms (2.6%)

Memory

41.5MiB live, 181.7MiB allocated; 21ms collecting garbage

Counts

55 → 1

Calls

Call 1

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

34.0ms	a2
27.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
15.0ms	(*.f64 a1 a1)
14.0ms	a1
14.0ms	th

Results

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

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes100.0ms (1.8%)

Memory

-42.3MiB live, 195.4MiB allocated; 19ms collecting garbage

Counts

43 → 1

Calls

Call 1

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

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

Calls

8 calls:

16.0ms	a2
13.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
12.0ms	(*.f64 a1 a1)
11.0ms	a1
11.0ms	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)

regimes92.0ms (1.6%)

Memory

17.7MiB live, 164.7MiB allocated; 19ms collecting garbage

Counts

41 → 1

Calls

Call 1

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

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

Calls

8 calls:

16.0ms	a1
11.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
11.0ms	th
11.0ms	a2
10.0ms	(cos.f64 th)

Results

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

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes84.0ms (1.5%)

Memory

24.4MiB live, 167.5MiB allocated; 7ms 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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (* a2 a2) (neg (sqrt 2))) (* (sqrt 2) (neg (* a1 a1)))) (* (sqrt 2) (neg (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) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (cos th) (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a2 a2) (/.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 (.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) #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 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (.f64 #s(approx ( a1 (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2))) (/.f64 (.f64 (.f64 a1 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) (.f64 (.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (/.f64 #s(approx (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.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 (.f64 a1 a1) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (.f64 a2 a2) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (/.f64 #s(approx (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (*.f64 (fma.f64 (/.f64 a2 a1) a2 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 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (.f64 (.f64 a1 #s(approx (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2)) (/.f64 (.f64 (.f64 a2 a2) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) #s(literal 1/2 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))) #s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (.f64 (.f64 a1 (/.f64 (.f64 #s(literal 2 binary64) #s(approx (+ ( (/ a2 a1) a2) a1) (*.f64 (/.f64 a2 a1) a2))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.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 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (.f64 (.f64 a1 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.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 (.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))) #s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (.f64 (.f64 a1 (/.f64 #s(approx (* 2 (+ (* (/ a2 a1) a2) a1)) (.f64 (fma.f64 (/.f64 a1 (.f64 a2 a2)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) a1)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1)) a1) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 a1 (.f64 th th)) (.f64 #s(literal 2 binary64) #s(approx (+ ( (/ a2 a1) a2) 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 (/.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))) (/.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))) #s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1)) a1) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 a1 (.f64 th th)) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1))))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (neg (sqrt 2))) (* (sqrt 2) (neg (* a1 a1)))) (.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 a2 a1) a2))) (.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))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a2 a2) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))))
#s(approx (* (cos th) (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(.f64 (cos.f64 th) #s(approx (/ (+ ( (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (*.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 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))) a2) a2))
(.f64 (cos.f64 th) (/.f64 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (cos.f64 th) #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)))))

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

Calls

8 calls:

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

regimes83.0ms (1.5%)

Memory

-13.2MiB live, 130.2MiB allocated; 10ms collecting garbage

Counts

38 → 1

Calls

Call 1

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

12.0ms	a1
10.0ms	a2
10.0ms	th
10.0ms	(*.f64 a1 a1)
9.0ms	(/.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)

regimes113.0ms (2%)

Memory

14.3MiB live, 108.2MiB allocated; 3ms collecting garbage

Counts

37 → 1

Calls

Call 1

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

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

Calls

8 calls:

32.0ms	th
24.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
10.0ms	a1
10.0ms	a2
9.0ms	(cos.f64 th)

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)

regimes91.0ms (1.6%)

Memory

-42.6MiB live, 100.7MiB 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) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (* a2 a2) (neg (sqrt 2))) (* (sqrt 2) (neg (* a1 a1)))) (* (sqrt 2) (neg (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) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (cos th) (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a2 a2) (/.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 (.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) #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 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (.f64 #s(approx ( a1 (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2))) (/.f64 (.f64 (.f64 a1 a1) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) (.f64 (.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (/.f64 #s(approx (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.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 (.f64 a1 a1) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (.f64 (.f64 a2 a2) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (/.f64 #s(approx (+ (* 1/2 (* (* 2 (+ (* (/ a2 a1) a2) a1)) a1)) (* -1/4 (* (* a1 (* th th)) (* 2 (+ (* (/ a2 a1) a2) a1))))) (*.f64 (fma.f64 (/.f64 a2 a1) a2 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 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (.f64 (.f64 a1 #s(approx (/ (* 2 (+ (* (/ a2 a1) a2) a1)) (sqrt 2)) (/.f64 (.f64 (.f64 a2 a2) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) #s(literal 1/2 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))) #s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (.f64 (.f64 a1 (/.f64 (.f64 #s(literal 2 binary64) #s(approx (+ ( (/ a2 a1) a2) a1) (*.f64 (/.f64 a2 a1) a2))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.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 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (.f64 (.f64 a1 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.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 (.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))) #s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (.f64 (.f64 a1 (/.f64 #s(approx (* 2 (+ (* (/ a2 a1) a2) a1)) (.f64 (fma.f64 (/.f64 a1 (.f64 a2 a2)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) a1)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1)) a1) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 a1 (.f64 th th)) (.f64 #s(literal 2 binary64) #s(approx (+ ( (/ a2 a1) a2) 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 (/.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))) (/.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))) #s(approx (* (* (/ (+ (* (* (/ a2 a1) a2) 2) (* a1 2)) (* a1 2)) (/ (cos th) (sqrt 2))) (* a1 a1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1)) a1) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 a1 (.f64 th th)) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a2 a1) a2 a1))))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (neg (sqrt 2))) (* (sqrt 2) (neg (* a1 a1)))) (.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 (/.f64 a2 a1) a2))) (.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))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a2 a2) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))))
#s(approx (* (cos th) (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))

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

Calls

8 calls:

18.0ms	th
13.0ms	(+.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)))
9.0ms	a2
9.0ms	a1
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)

regimes105.0ms (1.9%)

Memory

4.6MiB live, 98.4MiB allocated; 4ms collecting garbage

Counts

33 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

32.0ms	(*.f64 a2 a2)
21.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
9.0ms	a1
9.0ms	th
9.0ms	a2

Results

Accuracy	Segments	Branch
71.9%	2	`(*.f64 a2 a2)`
69.6%	2	`(*.f64 a1 a1)`
80.0%	2	`(cos.f64 th)`
80.0%	2	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
81.6%	2	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
70.4%	2	`a1`
72.5%	2	`a2`
71.0%	2	`th`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes24.0ms (0.4%)

Memory

40.9MiB live, 40.9MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

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

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes41.0ms (0.7%)

Memory

-4.2MiB live, 45.4MiB allocated; 7ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

8 calls:

23.0ms	a2
3.0ms	a1
3.0ms	th
3.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
2.0ms	(*.f64 a2 a2)

Results

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

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes17.0ms (0.3%)

Memory

-10.3MiB live, 36.4MiB allocated; 2ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
66.3%	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)))`
66.3%	1	`(cos.f64 th)`
66.3%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
66.3%	1	`(*.f64 a1 a1)`
66.3%	1	`a1`
66.3%	1	`th`
66.3%	1	`(*.f64 a2 a2)`
66.3%	1	`a2`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes16.0ms (0.3%)

Memory

-14.3MiB live, 32.4MiB allocated; 4ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

8 calls:

5.0ms	(*.f64 a1 a1)
2.0ms	a1
2.0ms	a2
2.0ms	th
2.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
66.3%	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)))`
66.3%	1	`(cos.f64 th)`
66.3%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
66.3%	1	`(*.f64 a1 a1)`
66.3%	1	`a1`
66.3%	1	`th`
66.3%	1	`(*.f64 a2 a2)`
66.3%	1	`a2`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes9.0ms (0.2%)

Memory

24.0MiB live, 24.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
13.1%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
13.1%	1	`(cos.f64 th)`
13.1%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
13.1%	1	`(*.f64 a1 a1)`
13.1%	1	`a1`
13.1%	1	`th`
13.1%	1	`(*.f64 a2 a2)`
13.1%	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	-1.7869404182974574e-149	-1.0055975920526189e-220

Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify50.0ms (0.9%)

Memory

-18.2MiB live, 77.0MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	363
1	140	363
2	384	363
3	1282	363
4	3934	363

Stop Event

1×	node limit

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) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (cos.f64 th) #s(approx (/ (+ ( (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 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 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (cos.f64 th) #s(approx (/ (+ ( (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (cos th) (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(if (<=.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #s(literal -4606887725612233/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 binary64)) #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) (.f64 (.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (cos th) (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))

Outputs
(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (cos.f64 th) #s(approx (/ (+ ( (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 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 #s(approx (+ ( a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (cos.f64 th) #s(approx (/ (+ ( (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (cos th) (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(if (<=.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #s(literal -4606887725612233/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 binary64)) #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (.f64 (.f64 a2 a2) (/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) (.f64 (.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (cos th) (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* (* a2 a2) (sqrt 2)) (* (* a1 a1) (sqrt 2))) 2) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))

derivations413.0ms (7.4%)

Memory

-1.4MiB live, 417.3MiB allocated; 33ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 414 to 79 computations (80.9% saved)

preprocess120.0ms (2.2%)

Memory

11.2MiB live, 152.3MiB allocated; 103ms collecting garbage

Remove

(sort a1 a2)

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 962 to 262 computations (72.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (27.9%)

explain134.0ms (2.4%)

preprocess755.0ms (13.6%)

eval0.0ms (0%)

prune0.0ms (0%)

series21.0ms (0.4%)

rewrite192.0ms (3.4%)

eval22.0ms (0.4%)

prune10.0ms (0.2%)

series40.0ms (0.7%)

rewrite218.0ms (3.9%)

eval79.0ms (1.4%)

prune45.0ms (0.8%)

series69.0ms (1.2%)

rewrite267.0ms (4.8%)

eval95.0ms (1.7%)

prune52.0ms (0.9%)

series108.0ms (2%)

rewrite212.0ms (3.8%)

eval112.0ms (2%)

prune71.0ms (1.3%)

regimes146.0ms (2.6%)

regimes100.0ms (1.8%)

regimes92.0ms (1.6%)

regimes84.0ms (1.5%)

regimes83.0ms (1.5%)

regimes113.0ms (2%)

regimes91.0ms (1.6%)

regimes105.0ms (1.9%)

regimes24.0ms (0.4%)

regimes41.0ms (0.7%)

regimes17.0ms (0.3%)

regimes16.0ms (0.3%)

regimes9.0ms (0.2%)

bsearch1.0ms (0%)

simplify50.0ms (0.9%)

derivations413.0ms (7.4%)

preprocess120.0ms (2.2%)

end0.0ms (0%)

Profiling