Metrics for Migdal et al, Equation (64)

analyze0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

sample1.3s (11.5%)

Memory

34.7MiB live, 2 093.6MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 715.0ms

ival-cos: 269.0ms (37.6% of total)

ival-mult: 240.0ms (33.6% of total)

ival-sqrt: 86.0ms (12% of total)

ival-div: 65.0ms (9.1% of total)

ival-add: 41.0ms (5.7% of total)

exact: 6.0ms (0.8% of total)

ival-true: 5.0ms (0.7% of total)

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

Bogosity

preprocess163.0ms (1.4%)

Memory

-10.1MiB live, 68.4MiB allocated

Algorithm

2×	egg-herbie

Rules

1 522×	`times-frac`
1 460×	`unsub-neg`
1 254×	`distribute-lft-in`
1 236×	`distribute-rgt-in`
930×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	133
1	130	133
2	375	133
3	1018	133
4	2412	133
5	4779	133
6	5679	133
7	6481	133
8	6555	133
9	6571	133
10	6742	133
11	6860	133
12	6872	133
13	6872	133
14	6872	133
15	7996	133
0	12	13
1	25	13
2	50	13
3	80	13
4	92	13
0	92	12

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))

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

Call 2

Inputs
(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
(+ (* (/ (cos th) (sqrt 2)) (* (neg a1) (neg a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* (neg a2) (neg a2))))
(+ (* (/ (cos (neg th)) (sqrt 2)) (* a1 a1)) (* (/ (cos (neg th)) (sqrt 2)) (* a2 a2)))
(neg (+ (* (/ (cos th) (sqrt 2)) (* (neg a1) (neg a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
(neg (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* (neg a2) (neg a2)))))
(neg (+ (* (/ (cos (neg th)) (sqrt 2)) (* a1 a1)) (* (/ (cos (neg th)) (sqrt 2)) (* a2 a2))))
(+ (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* (/ (cos th) (sqrt 2)) (* a1 a1)))
(+ (* (/ (cos a1) (sqrt 2)) (* th th)) (* (/ (cos a1) (sqrt 2)) (* a2 a2)))
(+ (* (/ (cos a2) (sqrt 2)) (* a1 a1)) (* (/ (cos a2) (sqrt 2)) (* th th)))

Outputs
(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
(/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2))
(+ (* (/ (cos th) (sqrt 2)) (* (neg a1) (neg a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
(/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2))
(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* (neg a2) (neg a2))))
(/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2))
(+ (* (/ (cos (neg th)) (sqrt 2)) (* a1 a1)) (* (/ (cos (neg th)) (sqrt 2)) (* a2 a2)))
(/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2))
(neg (+ (* (/ (cos th) (sqrt 2)) (* (neg a1) (neg a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
(/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (neg (sqrt 2)))
(neg (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* (neg a2) (neg a2)))))
(/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (neg (sqrt 2)))
(neg (+ (* (/ (cos (neg th)) (sqrt 2)) (* a1 a1)) (* (/ (cos (neg th)) (sqrt 2)) (* a2 a2))))
(/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (neg (sqrt 2)))
(+ (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* (/ (cos th) (sqrt 2)) (* a1 a1)))
(/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2))
(+ (* (/ (cos a1) (sqrt 2)) (* th th)) (* (/ (cos a1) (sqrt 2)) (* a2 a2)))
(* (cos a1) (/ (+ (* a2 a2) (* th th)) (sqrt 2)))
(+ (* (/ (cos a2) (sqrt 2)) (* a1 a1)) (* (/ (cos a2) (sqrt 2)) (* th th)))
(* (cos a2) (/ (+ (* a1 a1) (* th th)) (sqrt 2)))

Symmetry

(abs a1)

(abs a2)

(abs th)

(sort a1 a2)

explain148.0ms (1.3%)

Memory

2.1MiB live, 359.0MiB allocated

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

56.0ms

512×

valid

Compiler

Compiled 160 to 52 computations (67.5% saved)

Precisions

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

ival-cos: 12.0ms (35.2% of total)

ival-mult: 12.0ms (35.2% 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)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 22 to 12 computations (45.5% saved)

simplify6.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
✓	cost-diff	13056	(+.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)))

Rules

100×	`-lowering-.f32`
100×	`-lowering-.f64`
60×	`accelerator-lowering-fma.f32`
60×	`accelerator-lowering-fma.f64`
48×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	25	50
2	50	50
3	80	50
4	92	50
0	92	49

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* (/ (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

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

localize43.0ms (0.4%)

Memory

13.4MiB live, 97.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.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)))
✓	accuracy	99.7%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
✓	accuracy	99.7%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
✓	accuracy	98.9%	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Samples

27.0ms

256×

valid

Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-cos: 6.0ms (35.1% of total)

ival-mult: 6.0ms (35.1% of total)

ival-div: 2.0ms (11.7% of total)

ival-add: 2.0ms (11.7% of total)

ival-sqrt: 2.0ms (11.7% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.1%)

Memory

-6.0MiB live, 33.1MiB allocated

Counts

5 → 108

Calls

Call 1

Inputs
#<alt (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))>
#<alt (* (/ (cos th) (sqrt 2)) (* a1 a1))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (cos th)>
#<alt (* (/ (cos th) (sqrt 2)) (* a2 a2))>

Outputs
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (* (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))))>
#<alt (+ (* (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))))>
#<alt (+ (* (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))))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))>
#<alt (+ (* (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)))>
#<alt (+ (* (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)))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ 1 (sqrt 2))>
#<alt (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))>
#<alt (+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))>
#<alt (+ (* (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)))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow th 2)))>
#<alt (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))>
#<alt (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (* (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)))>
#<alt (+ (* (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)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	th	@	0	(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
2.0ms	th	@	inf	(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
2.0ms	th	@	-inf	(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
2.0ms	th	@	-inf	(/ (cos th) (sqrt 2))
1.0ms	a1	@	0	(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))

rewrite340.0ms (3%)

Memory

3.9MiB live, 753.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 176×	`accelerator-lowering-fma.f32`
6 176×	`accelerator-lowering-fma.f64`
4 662×	`-lowering-.f32`
4 662×	`-lowering-.f64`
2 804×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	50	38
2	403	38
3	7321	38
0	8424	37

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 327

Calls

Call 1

Inputs
(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
(* (/ (cos th) (sqrt 2)) (* a1 a1))
(/ (cos th) (sqrt 2))
(cos th)
(* (/ (cos th) (sqrt 2)) (* a2 a2))

Outputs
(+.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(+.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(+.f64 (/.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))) (.f64 (/.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))) (.f64 (/.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))) (.f64 (/.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))) (.f64 (/.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (/.f64 (/.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))
(fma.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))) (.f64 (/.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 a1 (/.f64 (.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (.f64 a1 a1) (/.f64 (.f64 (.f64 a1 a1) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) #s(literal 2 binary64))) (/.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))) (.f64 (/.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))) (.f64 (/.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 a2 (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (/.f64 (.f64 a2 a2) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (/.f64 (.f64 a1 a1) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (/.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))) #s(literal 2 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (neg.f64 (/.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))) (.f64 (/.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (.f64 a2 a2)) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (.f64 a2 a2) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (.f64 a1 a1) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (/.f64 (.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (/.f64 (.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (.f64 a1 (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))) (.f64 (/.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (.f64 (cos.f64 th) (-.f64 #s(literal 0 binary64) (.f64 a2 a2))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (.f64 (.f64 a1 a1) (-.f64 #s(literal 0 binary64) (cos.f64 th))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) #s(literal 2 binary64)) (/.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))) (.f64 (/.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) #s(literal 2 binary64)) (/.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (/.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))) (.f64 (/.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (.f64 (.f64 a1 a1) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (/.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))) (.f64 (/.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (/.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))) (.f64 (/.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (.f64 a1 (.f64 (.f64 a1 a1) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) #s(literal 2 binary64)))) (/.f64 a1 (/.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))) (.f64 (/.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) (cos.f64 th))) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a1 (/.f64 #s(literal 1 binary64) (cos.f64 th))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) #s(literal 1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) #s(literal 1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (neg.f64 (/.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))) (.f64 (/.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 a1 a1) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) #s(literal 2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (neg.f64 (/.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))) (.f64 (/.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (neg.f64 (/.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))) (.f64 (/.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (/.f64 (.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 (.f64 a1 (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (neg.f64 (/.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))) (.f64 (/.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) #s(literal 2 binary64)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (neg.f64 (/.f64 (.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))) (.f64 (/.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))
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(.f64 (/.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (cos.f64 th) (-.f64 (.f64 a1 a1) (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (.f64 a2 a2))))) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (/.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))))) (+.f64 (/.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th))))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 a2 a2) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) th)))) #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(.f64 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 th)))
(.f64 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 th)))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) #s(literal 1 binary64)))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1)))))
(/.f64 (.f64 (.f64 a1 a1) (-.f64 #s(literal 0 binary64) (cos.f64 th))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 th))))
(/.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 a1 a1) #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 th))))
(/.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 th))))
(/.f64 (neg.f64 (.f64 (.f64 a1 a1) (-.f64 #s(literal 0 binary64) (cos.f64 th)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (.f64 (.f64 a1 a1) (-.f64 #s(literal 0 binary64) (cos.f64 th))) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) #s(literal -1 binary64))
(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
(.f64 a1 (/.f64 (.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (/.f64 (.f64 a1 a1) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (*.f64 a1 a1)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (.f64 a1 a1) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(.f64 (/.f64 (.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1)
(.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (*.f64 a1 a1) (-.f64 #s(literal 0 binary64) (cos.f64 th))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a1 (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(.f64 (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) #s(literal 1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (.f64 a1 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) #s(literal -1 binary64)) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 a1 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 (cos.f64 th) a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 a1 a1) #s(literal -1 binary64)) (/.f64 (cos.f64 th) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 a1 a1) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 th)))
(.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 th) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (/.f64 (cos.f64 th) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 th))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 th))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1 binary64))
(*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 th) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 th)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 th))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)))
(cos.f64 th)
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 th)))
(neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)))
(*.f64 (cos.f64 th) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 th))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 th)))
(neg.f64 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 th)))))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (.f64 a2 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (.f64 a2 a2))) #s(literal 1 binary64)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (.f64 a2 a2)))))
(/.f64 (.f64 (cos.f64 th) (-.f64 #s(literal 0 binary64) (.f64 a2 a2))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 th))))
(/.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(/.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 a2 a2) #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 th))))
(/.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (cos.f64 th) (-.f64 #s(literal 0 binary64) (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (.f64 (cos.f64 th) (-.f64 #s(literal 0 binary64) (.f64 a2 a2))) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (.f64 a2 a2))) #s(literal -1 binary64))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
(.f64 a2 (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (/.f64 (.f64 a2 a2) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (.f64 a2 a2) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(.f64 (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2)
(.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (cos.f64 th) (-.f64 #s(literal 0 binary64) (*.f64 a2 a2))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(.f64 (.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) #s(literal 1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 (cos.f64 th) a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 a2 a2) #s(literal -1 binary64)) (/.f64 (cos.f64 th) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) #s(literal -1 binary64)) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 a2 a2) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 th)))
(.f64 (/.f64 (.f64 a2 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))

simplify718.0ms (6.3%)

Memory

3.2MiB live, 1 593.9MiB allocated

Algorithm

1×	egg-herbie

Rules

34 694×	`accelerator-lowering-fma.f32`
34 694×	`accelerator-lowering-fma.f64`
6 426×	`-lowering-.f32`
6 426×	`-lowering-.f64`
4 620×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	1498
1	343	1366
2	1205	1262
3	3898	1233
0	8422	1172

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (pow a1 2) (sqrt 2))
(+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))) (/ (pow a1 2) (sqrt 2)))
(+ (* (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)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ 1 (sqrt 2))
(+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))
(+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))
(+ (* (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)))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
1
(+ 1 (* -1/2 (pow th 2)))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(/ (pow a2 2) (sqrt 2))
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))

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

eval57.0ms (0.5%)

Memory: 21.7MiB live, 140.5MiB allocated
Compiler: Compiled 15 196 to 1 056 computations (93.1% saved)

prune59.0ms (0.5%)

Memory

-0.9MiB live, 158.4MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	482	8	490
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	483	8	491

Accuracy

100.0%

Counts

491 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(/.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
	99.6%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
▶	98.5%	(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
▶	99.6%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (*.f64 a2 a2)))
▶	99.7%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
▶	99.5%	(.f64 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Compiler

Compiled 278 to 190 computations (31.7% saved)

simplify19.0ms (0.2%)

Memory

0.1MiB live, 39.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
✓	cost-diff	6528	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (*.f64 a2 a2)))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
✓	cost-diff	0	(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
✓	cost-diff	0	(*.f64 a1 a1)
✓	cost-diff	0	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
✓	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(*.f64 a2 a2)
✓	cost-diff	0	(.f64 (.f64 a2 a2) (cos.f64 th))
✓	cost-diff	0	(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	cost-diff	0	(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))

Rules

400×	`-lowering-.f32`
400×	`-lowering-.f64`
252×	`accelerator-lowering-fma.f32`
252×	`accelerator-lowering-fma.f64`
226×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	237
1	58	237
2	133	234
3	242	234
4	406	234
5	508	234
6	508	234
0	508	224

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (pow 2 -1/2) (* (cos th) (+ (* a1 a1) (* a2 a2))))
(pow 2 -1/2)
2
-1/2
(* (cos th) (+ (* a1 a1) (* a2 a2)))
(cos th)
th
(+ (* a1 a1) (* a2 a2))
(* a1 a1)
a1
(* a2 a2)
a2
(/ (* (* a2 a2) (cos th)) (sqrt 2))
(* (* a2 a2) (cos th))
(* a2 a2)
a2
(cos th)
th
(sqrt 2)
2
(* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (cos th))
(/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))
(+ (* a1 a1) (* a2 a2))
(* a1 a1)
a1
(* a2 a2)
a2
(sqrt 2)
2
(cos th)
th
(/ 1 (/ (/ (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))))
1
(/ (/ (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2)))
(/ (sqrt 2) (cos th))
(sqrt 2)
2
(cos th)
th
(+ (* a1 a1) (* a2 a2))
(* a1 a1)
a1
(* a2 a2)
a2
(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (pow 2 -1/2) (cos th)) (* a2 a2)))
(* (/ (cos th) (sqrt 2)) (* a1 a1))
(/ (cos th) (sqrt 2))
(cos th)
th
(sqrt 2)
2
(* a1 a1)
a1
(* (* (pow 2 -1/2) (cos th)) (* a2 a2))
(* (pow 2 -1/2) (cos th))
(pow 2 -1/2)
-1/2
(* a2 a2)
a2

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

localize116.0ms (1%)

Memory

10.3MiB live, 242.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (*.f64 a2 a2))
✓	accuracy	99.7%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
✓	accuracy	99.7%	(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))
✓	accuracy	98.9%	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
✓	accuracy	99.6%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
✓	accuracy	98.6%	(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.9%	(.f64 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
✓	accuracy	99.6%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.8%	(.f64 (.f64 a2 a2) (cos.f64 th))
✓	accuracy	99.6%	(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.8%	(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	accuracy	99.7%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))

Samples

60.0ms

256×

valid

Compiler

Compiled 241 to 28 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 12.0ms (34% of total)

ival-div: 8.0ms (22.7% of total)

ival-cos: 6.0ms (17% of total)

ival-pow: 4.0ms (11.3% of total)

ival-add: 2.0ms (5.7% of total)

ival-sqrt: 2.0ms (5.7% of total)

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

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

exact: 0.0ms (0% of total)

series35.0ms (0.3%)

Memory

-27.7MiB live, 52.4MiB allocated

Counts

20 → 432

Calls

Call 1

Inputs
#<alt (* (pow 2 -1/2) (* (cos th) (+ (* a1 a1) (* a2 a2))))>
#<alt (pow 2 -1/2)>
#<alt (* (cos th) (+ (* a1 a1) (* a2 a2)))>
#<alt (cos th)>
#<alt (/ (* (* a2 a2) (cos th)) (sqrt 2))>
#<alt (* (* a2 a2) (cos th))>
#<alt (* a2 a2)>
#<alt (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (cos th))>
#<alt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))>
#<alt (+ (* a1 a1) (* a2 a2))>
#<alt (* a1 a1)>
#<alt (/ 1 (/ (/ (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))))>
#<alt (/ (/ (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2)))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (sqrt 2)>
#<alt (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (pow 2 -1/2) (cos th)) (* a2 a2)))>
#<alt (* (/ (cos th) (sqrt 2)) (* a1 a1))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (* (pow 2 -1/2) (cos th))>
#<alt (* (* (pow 2 -1/2) (cos th)) (* a2 a2))>

Outputs
#<alt (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))>
#<alt (+ (* -1/2 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))>
#<alt (+ (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))))))>
#<alt (+ (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))) (* 1/24 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))))))))>
#<alt (* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 1/2)))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))>
#<alt (+ (* (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)))>
#<alt (+ (* (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)))>
#<alt (* (cos th) (+ (pow a1 2) (pow a2 2)))>
#<alt (* (cos th) (+ (pow a1 2) (pow a2 2)))>
#<alt (* (cos th) (+ (pow a1 2) (pow a2 2)))>
#<alt (* (cos th) (+ (pow a1 2) (pow a2 2)))>
#<alt (* (cos th) (+ (pow a1 2) (pow a2 2)))>
#<alt (* (cos th) (+ (pow a1 2) (pow a2 2)))>
#<alt (* (cos th) (+ (pow a1 2) (pow a2 2)))>
#<alt (* (cos th) (+ (pow a1 2) (pow a2 2)))>
#<alt (* (pow a2 2) (cos th))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))>
#<alt (* (pow a1 2) (cos th))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow th 2)))>
#<alt (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))>
#<alt (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (* (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)))>
#<alt (+ (* (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)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (pow a2 2)>
#<alt (+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* 1/24 (* (pow a2 2) (pow th 2))))) (pow a2 2))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))) (pow a2 2))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))>
#<alt (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))>
#<alt (+ (* (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))))>
#<alt (+ (* (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))))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (pow a2 2)>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (pow a1 2)>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (pow a1 2)>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (pow a1 2)>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (pow a2 2)>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (pow a2 2)>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))>
#<alt (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))>
#<alt (+ (* (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))))>
#<alt (+ (* (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))))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))>
#<alt (+ (* 1/2 (/ (* (pow th 2) (sqrt 2)) (+ (pow a1 2) (pow a2 2)))) (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))>
#<alt (+ (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))))) (* -1/2 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))))) (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))>
#<alt (+ (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (+ (* 1/48 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/2 (+ (* -1/4 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))) (+ (* -1/4 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))))) (* -1/2 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))))) (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))>
#<alt (/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2))))>
#<alt (/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2))))>
#<alt (/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2))))>
#<alt (/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2))))>
#<alt (/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2))))>
#<alt (/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2))))>
#<alt (/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2))))>
#<alt (/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2))))>
#<alt (/ (sqrt 2) (* (pow a2 2) (cos th)))>
#<alt (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 4) (cos th)))) (/ (sqrt 2) (* (pow a2 2) (cos th))))>
#<alt (+ (* (pow a1 2) (- (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 6) (cos th))) (/ (sqrt 2) (* (pow a2 4) (cos th))))) (/ (sqrt 2) (* (pow a2 2) (cos th))))>
#<alt (+ (* (pow a1 2) (- (* (pow a1 2) (- (* -1 (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 8) (cos th)))) (* -1 (/ (sqrt 2) (* (pow a2 6) (cos th)))))) (/ (sqrt 2) (* (pow a2 4) (cos th))))) (/ (sqrt 2) (* (pow a2 2) (cos th))))>
#<alt (/ (sqrt 2) (* (pow a1 2) (cos th)))>
#<alt (/ (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th)))) (/ (sqrt 2) (cos th))) (pow a1 2))>
#<alt (/ (- (+ (/ (sqrt 2) (cos th)) (/ (* (pow a2 4) (sqrt 2)) (* (pow a1 4) (cos th)))) (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th)))) (pow a1 2))>
#<alt (/ (- (+ (* -1 (/ (* (pow a2 6) (sqrt 2)) (* (pow a1 6) (cos th)))) (/ (sqrt 2) (cos th))) (+ (* -1 (/ (* (pow a2 4) (sqrt 2)) (* (pow a1 4) (cos th)))) (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th))))) (pow a1 2))>
#<alt (/ (sqrt 2) (* (pow a1 2) (cos th)))>
#<alt (/ (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th)))) (/ (sqrt 2) (cos th))) (pow a1 2))>
#<alt (/ (- (+ (/ (sqrt 2) (cos th)) (/ (* (pow a2 4) (sqrt 2)) (* (pow a1 4) (cos th)))) (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th)))) (pow a1 2))>
#<alt (/ (- (+ (* -1 (/ (* (pow a2 6) (sqrt 2)) (* (pow a1 6) (cos th)))) (/ (sqrt 2) (cos th))) (+ (* -1 (/ (* (pow a2 4) (sqrt 2)) (* (pow a1 4) (cos th)))) (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th))))) (pow a1 2))>
#<alt (/ (sqrt 2) (* (pow a1 2) (cos th)))>
#<alt (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 4) (cos th)))) (/ (sqrt 2) (* (pow a1 2) (cos th))))>
#<alt (+ (* (pow a2 2) (- (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 6) (cos th))) (/ (sqrt 2) (* (pow a1 4) (cos th))))) (/ (sqrt 2) (* (pow a1 2) (cos th))))>
#<alt (+ (* (pow a2 2) (- (* (pow a2 2) (- (* -1 (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 8) (cos th)))) (* -1 (/ (sqrt 2) (* (pow a1 6) (cos th)))))) (/ (sqrt 2) (* (pow a1 4) (cos th))))) (/ (sqrt 2) (* (pow a1 2) (cos th))))>
#<alt (/ (sqrt 2) (* (pow a2 2) (cos th)))>
#<alt (/ (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th)))) (/ (sqrt 2) (cos th))) (pow a2 2))>
#<alt (/ (- (+ (/ (sqrt 2) (cos th)) (/ (* (pow a1 4) (sqrt 2)) (* (pow a2 4) (cos th)))) (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th)))) (pow a2 2))>
#<alt (/ (- (+ (* -1 (/ (* (pow a1 6) (sqrt 2)) (* (pow a2 6) (cos th)))) (/ (sqrt 2) (cos th))) (+ (* -1 (/ (* (pow a1 4) (sqrt 2)) (* (pow a2 4) (cos th)))) (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th))))) (pow a2 2))>
#<alt (/ (sqrt 2) (* (pow a2 2) (cos th)))>
#<alt (/ (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th)))) (/ (sqrt 2) (cos th))) (pow a2 2))>
#<alt (/ (- (+ (/ (sqrt 2) (cos th)) (/ (* (pow a1 4) (sqrt 2)) (* (pow a2 4) (cos th)))) (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th)))) (pow a2 2))>
#<alt (/ (- (+ (* -1 (/ (* (pow a1 6) (sqrt 2)) (* (pow a2 6) (cos th)))) (/ (sqrt 2) (cos th))) (+ (* -1 (/ (* (pow a1 4) (sqrt 2)) (* (pow a2 4) (cos th)))) (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th))))) (pow a2 2))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* 1/2 (* (pow th 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))>
#<alt (+ (sqrt 2) (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (sqrt 2)) (+ (* 1/48 (sqrt 2)) (* 1/2 (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2)))))))) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (+ (* (pow a2 2) (sqrt 1/2)) (/ (pow a1 2) (sqrt 2)))>
#<alt (+ (* (pow a2 2) (sqrt 1/2)) (+ (* (pow th 2) (+ (* -1/2 (* (pow a2 2) (sqrt 1/2))) (* -1/2 (/ (pow a1 2) (sqrt 2))))) (/ (pow a1 2) (sqrt 2))))>
#<alt (+ (* (pow a2 2) (sqrt 1/2)) (+ (* (pow th 2) (+ (* -1/2 (* (pow a2 2) (sqrt 1/2))) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a2 2) (sqrt 1/2))) (* 1/24 (/ (pow a1 2) (sqrt 2)))))))) (/ (pow a1 2) (sqrt 2))))>
#<alt (+ (* (pow a2 2) (sqrt 1/2)) (+ (* (pow th 2) (+ (* -1/2 (* (pow a2 2) (sqrt 1/2))) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a2 2) (sqrt 1/2))) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (sqrt 1/2))) (* -1/720 (/ (pow a1 2) (sqrt 2))))))))))) (/ (pow a1 2) (sqrt 2))))>
#<alt (+ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))>
#<alt (+ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))>
#<alt (+ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))>
#<alt (+ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))>
#<alt (+ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))>
#<alt (+ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))>
#<alt (+ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))>
#<alt (+ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (+ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))>
#<alt (+ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))>
#<alt (+ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (+ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))>
#<alt (+ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))>
#<alt (+ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))>
#<alt (+ (* (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)))>
#<alt (+ (* (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)))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ 1 (sqrt 2))>
#<alt (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))>
#<alt (+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))>
#<alt (+ (* (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)))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* -1/2 (* (pow th 2) (sqrt 1/2))))>
#<alt (+ (sqrt 1/2) (* (pow th 2) (+ (* -1/2 (sqrt 1/2)) (* 1/24 (* (pow th 2) (sqrt 1/2))))))>
#<alt (+ (sqrt 1/2) (* (pow th 2) (+ (* -1/2 (sqrt 1/2)) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (sqrt 1/2))) (* 1/24 (sqrt 1/2)))))))>
#<alt (* (cos th) (sqrt 1/2))>
#<alt (* (cos th) (sqrt 1/2))>
#<alt (* (cos th) (sqrt 1/2))>
#<alt (* (cos th) (sqrt 1/2))>
#<alt (* (cos th) (sqrt 1/2))>
#<alt (* (cos th) (sqrt 1/2))>
#<alt (* (cos th) (sqrt 1/2))>
#<alt (* (cos th) (sqrt 1/2))>
#<alt (* (pow a2 2) (sqrt 1/2))>
#<alt (+ (* -1/2 (* (pow a2 2) (* (pow th 2) (sqrt 1/2)))) (* (pow a2 2) (sqrt 1/2)))>
#<alt (+ (* (pow a2 2) (sqrt 1/2)) (* (pow th 2) (+ (* -1/2 (* (pow a2 2) (sqrt 1/2))) (* 1/24 (* (pow a2 2) (* (pow th 2) (sqrt 1/2)))))))>
#<alt (+ (* (pow a2 2) (sqrt 1/2)) (* (pow th 2) (+ (* -1/2 (* (pow a2 2) (sqrt 1/2))) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (* (pow th 2) (sqrt 1/2)))) (* 1/24 (* (pow a2 2) (sqrt 1/2))))))))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>

Calls

108 calls:

Time	Variable		Point	Expression
4.0ms	th	@	inf	(* (pow 2 -1/2) (* (cos th) (+ (* a1 a1) (* a2 a2))))
3.0ms	a1	@	inf	(/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))
1.0ms	th	@	0	(/ (/ (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2)))
1.0ms	th	@	0	(* (pow 2 -1/2) (* (cos th) (+ (* a1 a1) (* a2 a2))))
1.0ms	th	@	inf	(/ (/ (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2)))

rewrite799.0ms (7%)

Memory

-91.6MiB live, 931.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 250×	`accelerator-lowering-fma.f32`
10 250×	`accelerator-lowering-fma.f64`
7 116×	`-lowering-.f32`
7 116×	`-lowering-.f64`
2 616×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	157
1	127	153
2	919	153
0	8832	145

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 2 302

Calls

Call 1

Inputs
(* (pow 2 -1/2) (* (cos th) (+ (* a1 a1) (* a2 a2))))
(pow 2 -1/2)
(* (cos th) (+ (* a1 a1) (* a2 a2)))
(cos th)
(/ (* (* a2 a2) (cos th)) (sqrt 2))
(* (* a2 a2) (cos th))
(* a2 a2)
(* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (cos th))
(/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))
(+ (* a1 a1) (* a2 a2))
(* a1 a1)
(/ 1 (/ (/ (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))))
(/ (/ (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2)))
(/ (sqrt 2) (cos th))
(sqrt 2)
(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (pow 2 -1/2) (cos th)) (* a2 a2)))
(* (/ (cos th) (sqrt 2)) (* a1 a1))
(/ (cos th) (sqrt 2))
(* (pow 2 -1/2) (cos th))
(* (* (pow 2 -1/2) (cos th)) (* a2 a2))

Outputs
(+.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (neg.f64 a1)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 th)))))
(+.f64 (/.f64 (/.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))))
(+.f64 (.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 th))) (-.f64 #s(literal 0 binary64) (.f64 a2 a2))) (.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 th))) (.f64 a1 (neg.f64 a1))))
(+.f64 (.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 th))) (.f64 a1 (neg.f64 a1))) (.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 th))) (-.f64 #s(literal 0 binary64) (.f64 a2 a2))))
(+.f64 (.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1 binary64)))
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(.f64 (.f64 #s(literal 1 binary64) (.f64 (cos.f64 th) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))))) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))
(.f64 (.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)) (cos.f64 th))
(.f64 (.f64 (.f64 (cos.f64 th) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)))
(.f64 (.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 th))) #s(literal -1 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal -1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
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(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
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(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))
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(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
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(fma.f64 (cos.f64 th) (.f64 a1 a1) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(fma.f64 (cos.f64 th) (.f64 a2 a2) (.f64 (cos.f64 th) (*.f64 a1 a1)))
(fma.f64 (cos.f64 th) (.f64 a2 a2) (.f64 #s(literal 1 binary64) (.f64 (cos.f64 th) (.f64 a1 a1))))
(fma.f64 (cos.f64 th) (.f64 a2 a2) (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) #s(literal 1 binary64)))
(fma.f64 (cos.f64 th) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2))) (.f64 (cos.f64 th) (*.f64 a1 a1)))
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(fma.f64 a1 (.f64 a1 (cos.f64 th)) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(fma.f64 (.f64 a1 a1) (cos.f64 th) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(fma.f64 a2 (.f64 (cos.f64 th) a2) (.f64 (cos.f64 th) (*.f64 a1 a1)))
(fma.f64 a2 (.f64 (cos.f64 th) a2) (.f64 #s(literal 1 binary64) (.f64 (cos.f64 th) (.f64 a1 a1))))
(fma.f64 a2 (.f64 (cos.f64 th) a2) (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) #s(literal 1 binary64)))
(fma.f64 a2 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (cos.f64 th) a2))) (.f64 (cos.f64 th) (*.f64 a1 a1)))
(fma.f64 a2 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (cos.f64 th) a2))) (.f64 #s(literal 1 binary64) (.f64 (cos.f64 th) (.f64 a1 a1))))
(fma.f64 a2 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (cos.f64 th) a2))) (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) #s(literal 1 binary64)))
(fma.f64 a2 (.f64 (.f64 (cos.f64 th) a2) #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1)))
(fma.f64 a2 (.f64 (.f64 (cos.f64 th) a2) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 a2 (.f64 (.f64 (cos.f64 th) a2) #s(literal 1 binary64)) (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 1 binary64)))
(fma.f64 (.f64 a2 a2) (cos.f64 th) (.f64 (cos.f64 th) (*.f64 a1 a1)))
(fma.f64 (.f64 a2 a2) (cos.f64 th) (.f64 #s(literal 1 binary64) (.f64 (cos.f64 th) (.f64 a1 a1))))
(fma.f64 (.f64 a2 a2) (cos.f64 th) (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) #s(literal 1 binary64)))
(fma.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) #s(literal 1 binary64) (.f64 (cos.f64 th) (.f64 a1 a1)))
(fma.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) #s(literal 1 binary64) (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 a1 a1)))
(fma.f64 #s(literal 1 binary64) (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 #s(literal 1 binary64) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 #s(literal 1 binary64) (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (cos.f64 th) (.f64 a2 a2)))
(fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 th) (-.f64 #s(literal 0 binary64) (.f64 a2 a2))) (.f64 (cos.f64 th) (.f64 a1 a1)))
(fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 th) (-.f64 #s(literal 0 binary64) (.f64 a2 a2))) (.f64 #s(literal 1 binary64) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 th) (-.f64 #s(literal 0 binary64) (.f64 a2 a2))) (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (.f64 (cos.f64 th) (*.f64 a1 a1)))
(fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (.f64 #s(literal 1 binary64) (.f64 (cos.f64 th) (.f64 a1 a1))))
(fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) #s(literal 1 binary64)))
(fma.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) #s(literal 1 binary64) (.f64 (cos.f64 th) (.f64 a2 a2)))
(fma.f64 (.f64 (cos.f64 th) a2) a2 (.f64 (cos.f64 th) (*.f64 a1 a1)))
(fma.f64 (.f64 (cos.f64 th) a2) a2 (.f64 #s(literal 1 binary64) (.f64 (cos.f64 th) (.f64 a1 a1))))
(fma.f64 (.f64 (cos.f64 th) a2) a2 (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) #s(literal 1 binary64)))
(fma.f64 (.f64 (cos.f64 th) a2) (.f64 a2 #s(literal 1 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1)))
(fma.f64 (.f64 (cos.f64 th) a2) (.f64 a2 #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (.f64 (cos.f64 th) a2) (.f64 a2 #s(literal 1 binary64)) (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (-.f64 #s(literal 0 binary64) (cos.f64 th)) (.f64 (cos.f64 th) (*.f64 a1 a1)))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (-.f64 #s(literal 0 binary64) (cos.f64 th)) (.f64 #s(literal 1 binary64) (.f64 (cos.f64 th) (.f64 a1 a1))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (-.f64 #s(literal 0 binary64) (cos.f64 th)) (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) a2) (-.f64 #s(literal 0 binary64) (.f64 (cos.f64 th) a2)) (.f64 (cos.f64 th) (*.f64 a1 a1)))
(fma.f64 (-.f64 #s(literal 0 binary64) a2) (-.f64 #s(literal 0 binary64) (.f64 (cos.f64 th) a2)) (.f64 #s(literal 1 binary64) (.f64 (cos.f64 th) (.f64 a1 a1))))
(fma.f64 (-.f64 #s(literal 0 binary64) a2) (-.f64 #s(literal 0 binary64) (.f64 (cos.f64 th) a2)) (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) #s(literal 1 binary64)))
(fma.f64 (.f64 (cos.f64 th) a1) a1 (.f64 (cos.f64 th) (*.f64 a2 a2)))
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(fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a2)) (.f64 (cos.f64 th) a2) (.f64 (cos.f64 th) (*.f64 a1 a1)))
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(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))
(-.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
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(-.f64 (/.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (/.f64 (/.f64 (pow.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (.f64 a2 a2)) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
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(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1)) (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
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(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (.f64 a1 a1) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (/.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
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(fma.f64 (cos.f64 th) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 a2)) (.f64 (.f64 a1 (neg.f64 a1)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 th)))))
(fma.f64 (cos.f64 th) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a1 a1)) (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
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(fma.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
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(fma.f64 (cos.f64 th) (.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (.f64 (.f64 a1 (neg.f64 a1)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 th)))))
(fma.f64 a1 (/.f64 (.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 a2 (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 a2 (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 a1 (neg.f64 a1)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 th)))))
(fma.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 a1 (neg.f64 a1)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 th)))))
(fma.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (.f64 a1 (neg.f64 a1)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 th)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 (neg.f64 a1)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 th)))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1) (/.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2) (.f64 (*.f64 a1 (neg.f64 a1)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 th)))))
(fma.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1 binary64) (.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64) (.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 th)))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
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(fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (.f64 a2 a2)) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (.f64 a2 a2)) (.f64 (.f64 a1 (neg.f64 a1)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 th)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (.f64 (.f64 a2 a2) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
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(fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (.f64 a1 a1)) (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
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(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (.f64 (cos.f64 th) (.f64 a2 a2)))) (.f64 (.f64 a1 (neg.f64 a1)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 th)))))
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(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))) #s(literal -1 binary64)))
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(.f64 (.f64 (*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 th))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 th))))
(neg.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 th))))
(neg.f64 (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 th))) #s(literal 1 binary64)))
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 th))))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 th)))
(/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 th))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) #s(literal -1 binary64)))
(*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 th))))
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (cos.f64 th)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 th)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 th)) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (cos.f64 th))))
(.f64 (.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) #s(literal -1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 th)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (cos.f64 th)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 th))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (cos.f64 th))
(.f64 (.f64 (*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (*.f64 a2 a2)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 th)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 th)))))
(neg.f64 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 th)))))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (.f64 a2 a2))))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) (.f64 a2 a2))))
(/.f64 (.f64 (cos.f64 th) (-.f64 #s(literal 0 binary64) (.f64 a2 a2))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 th))))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (.f64 a2 a2))) #s(literal -1 binary64))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 th) (*.f64 a2 a2))) #s(literal -1 binary64)))
(.f64 (cos.f64 th) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (cos.f64 th) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 a2 a2)) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(.f64 a2 (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 th)))))
(.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 a2 a2)))
(.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (.f64 (*.f64 a2 a2) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(.f64 (.f64 (cos.f64 th) (-.f64 #s(literal 0 binary64) (*.f64 a2 a2))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (.f64 (cos.f64 th) (.f64 a2 a2))))
(.f64 (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2)
(.f64 (.f64 (cos.f64 th) a2) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) a2))
(.f64 (.f64 (cos.f64 th) a2) (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (.f64 (cos.f64 th) (-.f64 #s(literal 0 binary64) (*.f64 a2 a2))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 th))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (.f64 (cos.f64 th) (*.f64 a2 a2)))))
(.f64 (-.f64 #s(literal 0 binary64) a2) (.f64 (*.f64 (cos.f64 th) a2) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(.f64 (.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (.f64 a2 a2)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) a2) (*.f64 (cos.f64 th) a2))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 a2 a2)) (cos.f64 th))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(.f64 (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (.f64 (cos.f64 th) a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 (cos.f64 th) a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (cos.f64 th) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 a2 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (cos.f64 th) a2)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 a2 a2) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 th))))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(*.f64 (/.f64 a2 (/.f64 #s(literal 1 binary64) (cos.f64 th))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 a2 #s(literal 1 binary64)) (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 a2 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 a2 (/.f64 #s(literal -1 binary64) (cos.f64 th))))
(*.f64 (/.f64 a2 (/.f64 #s(literal -1 binary64) (cos.f64 th))) (/.f64 a2 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) #s(literal -1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) a2) #s(literal -1 binary64)) (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 a2 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 a2 a2) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 th))))
(.f64 (/.f64 (.f64 a2 a2) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 a2 a2) (/.f64 #s(literal -1 binary64) (cos.f64 th))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (.f64 a2 a2))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (*.f64 a2 a2))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(.f64 (.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 (cos.f64 th) a2))
(.f64 (.f64 (.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (cos.f64 th)))
(.f64 (.f64 (*.f64 a2 a2) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 th)))
(.f64 (.f64 (.f64 a2 a2) (.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) a2) (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (cos.f64 th) (-.f64 #s(literal 0 binary64) (.f64 a2 a2)))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 th))

simplify470.0ms (4.1%)

Memory

11.5MiB live, 719.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 912×	`accelerator-lowering-fma.f32`
11 912×	`accelerator-lowering-fma.f64`
7 326×	`-lowering-.f32`
7 326×	`-lowering-.f64`
2 866×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	385	6378
1	1267	6078
2	4706	6041
0	8472	5718

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

Inputs
(* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))
(+ (* -1/2 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(+ (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))))))
(+ (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))) (* 1/24 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))))))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(* (pow a1 2) (* (cos th) (sqrt 1/2)))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(* (pow a1 2) (* (cos th) (sqrt 1/2)))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(* (pow a1 2) (* (cos th) (sqrt 1/2)))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
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(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
1
(+ 1 (* -1/2 (pow th 2)))
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(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(cos th)
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(* (pow a2 2) (cos th))
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(pow a2 2)
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(* (pow a2 2) (cos th))
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(pow a2 2)
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(pow a2 2)
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(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
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(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
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(/ (* (pow a2 2) (cos th)) (sqrt 2))
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(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
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(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
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(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ (pow a1 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(pow a1 2)
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(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(pow a1 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(pow a2 2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(pow a2 2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (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))))
(+ (* (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))))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))
(+ (* 1/2 (/ (* (pow th 2) (sqrt 2)) (+ (pow a1 2) (pow a2 2)))) (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(+ (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))))) (* -1/2 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))))) (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(+ (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (+ (* 1/48 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/2 (+ (* -1/4 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))) (+ (* -1/4 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))))) (* -1/2 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))))) (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2))))
(/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2))))
(/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2))))
(/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2))))
(/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2))))
(/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2))))
(/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2))))
(/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2))))
(/ (sqrt 2) (* (pow a2 2) (cos th)))
(+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 4) (cos th)))) (/ (sqrt 2) (* (pow a2 2) (cos th))))
(+ (* (pow a1 2) (- (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 6) (cos th))) (/ (sqrt 2) (* (pow a2 4) (cos th))))) (/ (sqrt 2) (* (pow a2 2) (cos th))))
(+ (* (pow a1 2) (- (* (pow a1 2) (- (* -1 (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 8) (cos th)))) (* -1 (/ (sqrt 2) (* (pow a2 6) (cos th)))))) (/ (sqrt 2) (* (pow a2 4) (cos th))))) (/ (sqrt 2) (* (pow a2 2) (cos th))))
(/ (sqrt 2) (* (pow a1 2) (cos th)))
(/ (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th)))) (/ (sqrt 2) (cos th))) (pow a1 2))
(/ (- (+ (/ (sqrt 2) (cos th)) (/ (* (pow a2 4) (sqrt 2)) (* (pow a1 4) (cos th)))) (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th)))) (pow a1 2))
(/ (- (+ (* -1 (/ (* (pow a2 6) (sqrt 2)) (* (pow a1 6) (cos th)))) (/ (sqrt 2) (cos th))) (+ (* -1 (/ (* (pow a2 4) (sqrt 2)) (* (pow a1 4) (cos th)))) (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th))))) (pow a1 2))
(/ (sqrt 2) (* (pow a1 2) (cos th)))
(/ (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th)))) (/ (sqrt 2) (cos th))) (pow a1 2))
(/ (- (+ (/ (sqrt 2) (cos th)) (/ (* (pow a2 4) (sqrt 2)) (* (pow a1 4) (cos th)))) (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th)))) (pow a1 2))
(/ (- (+ (* -1 (/ (* (pow a2 6) (sqrt 2)) (* (pow a1 6) (cos th)))) (/ (sqrt 2) (cos th))) (+ (* -1 (/ (* (pow a2 4) (sqrt 2)) (* (pow a1 4) (cos th)))) (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th))))) (pow a1 2))
(/ (sqrt 2) (* (pow a1 2) (cos th)))
(+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 4) (cos th)))) (/ (sqrt 2) (* (pow a1 2) (cos th))))
(+ (* (pow a2 2) (- (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 6) (cos th))) (/ (sqrt 2) (* (pow a1 4) (cos th))))) (/ (sqrt 2) (* (pow a1 2) (cos th))))
(+ (* (pow a2 2) (- (* (pow a2 2) (- (* -1 (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 8) (cos th)))) (* -1 (/ (sqrt 2) (* (pow a1 6) (cos th)))))) (/ (sqrt 2) (* (pow a1 4) (cos th))))) (/ (sqrt 2) (* (pow a1 2) (cos th))))
(/ (sqrt 2) (* (pow a2 2) (cos th)))
(/ (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th)))) (/ (sqrt 2) (cos th))) (pow a2 2))
(/ (- (+ (/ (sqrt 2) (cos th)) (/ (* (pow a1 4) (sqrt 2)) (* (pow a2 4) (cos th)))) (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th)))) (pow a2 2))
(/ (- (+ (* -1 (/ (* (pow a1 6) (sqrt 2)) (* (pow a2 6) (cos th)))) (/ (sqrt 2) (cos th))) (+ (* -1 (/ (* (pow a1 4) (sqrt 2)) (* (pow a2 4) (cos th)))) (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th))))) (pow a2 2))
(/ (sqrt 2) (* (pow a2 2) (cos th)))
(/ (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th)))) (/ (sqrt 2) (cos th))) (pow a2 2))
(/ (- (+ (/ (sqrt 2) (cos th)) (/ (* (pow a1 4) (sqrt 2)) (* (pow a2 4) (cos th)))) (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th)))) (pow a2 2))
(/ (- (+ (* -1 (/ (* (pow a1 6) (sqrt 2)) (* (pow a2 6) (cos th)))) (/ (sqrt 2) (cos th))) (+ (* -1 (/ (* (pow a1 4) (sqrt 2)) (* (pow a2 4) (cos th)))) (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th))))) (pow a2 2))
(sqrt 2)
(+ (sqrt 2) (* 1/2 (* (pow th 2) (sqrt 2))))
(+ (sqrt 2) (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
(+ (sqrt 2) (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (sqrt 2)) (+ (* 1/48 (sqrt 2)) (* 1/2 (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2)))))))) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(+ (* (pow a2 2) (sqrt 1/2)) (/ (pow a1 2) (sqrt 2)))
(+ (* (pow a2 2) (sqrt 1/2)) (+ (* (pow th 2) (+ (* -1/2 (* (pow a2 2) (sqrt 1/2))) (* -1/2 (/ (pow a1 2) (sqrt 2))))) (/ (pow a1 2) (sqrt 2))))
(+ (* (pow a2 2) (sqrt 1/2)) (+ (* (pow th 2) (+ (* -1/2 (* (pow a2 2) (sqrt 1/2))) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a2 2) (sqrt 1/2))) (* 1/24 (/ (pow a1 2) (sqrt 2)))))))) (/ (pow a1 2) (sqrt 2))))
(+ (* (pow a2 2) (sqrt 1/2)) (+ (* (pow th 2) (+ (* -1/2 (* (pow a2 2) (sqrt 1/2))) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a2 2) (sqrt 1/2))) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (sqrt 1/2))) (* -1/720 (/ (pow a1 2) (sqrt 2))))))))))) (/ (pow a1 2) (sqrt 2))))
(+ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))
(+ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))
(+ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))
(+ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))
(+ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))
(+ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))
(+ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))
(+ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(+ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))
(+ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))
(+ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(+ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))
(+ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))
(+ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (pow a1 2) (sqrt 2))
(+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))) (/ (pow a1 2) (sqrt 2)))
(+ (* (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)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ 1 (sqrt 2))
(+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))
(+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))
(+ (* (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)))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/2 (* (pow th 2) (sqrt 1/2))))
(+ (sqrt 1/2) (* (pow th 2) (+ (* -1/2 (sqrt 1/2)) (* 1/24 (* (pow th 2) (sqrt 1/2))))))
(+ (sqrt 1/2) (* (pow th 2) (+ (* -1/2 (sqrt 1/2)) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (sqrt 1/2))) (* 1/24 (sqrt 1/2)))))))
(* (cos th) (sqrt 1/2))
(* (cos th) (sqrt 1/2))
(* (cos th) (sqrt 1/2))
(* (cos th) (sqrt 1/2))
(* (cos th) (sqrt 1/2))
(* (cos th) (sqrt 1/2))
(* (cos th) (sqrt 1/2))
(* (cos th) (sqrt 1/2))
(* (pow a2 2) (sqrt 1/2))
(+ (* -1/2 (* (pow a2 2) (* (pow th 2) (sqrt 1/2)))) (* (pow a2 2) (sqrt 1/2)))
(+ (* (pow a2 2) (sqrt 1/2)) (* (pow th 2) (+ (* -1/2 (* (pow a2 2) (sqrt 1/2))) (* 1/24 (* (pow a2 2) (* (pow th 2) (sqrt 1/2)))))))
(+ (* (pow a2 2) (sqrt 1/2)) (* (pow th 2) (+ (* -1/2 (* (pow a2 2) (sqrt 1/2))) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (* (pow th 2) (sqrt 1/2)))) (* 1/24 (* (pow a2 2) (sqrt 1/2))))))))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))

Outputs
(* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(+ (* -1/2 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(+ (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))))))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (.f64 th th) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 th th) #s(literal 1/24 binary64))))))
(+ (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))) (* 1/24 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))))))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))) (.f64 (.f64 th th) (.f64 th th))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(* (pow a1 2) (* (cos th) (sqrt 1/2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 (.f64 a2 (cos.f64 th)))) (*.f64 a1 a1))))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 (.f64 a2 (cos.f64 th)))) (*.f64 a1 a1))))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 (.f64 a2 (cos.f64 th)))) (*.f64 a1 a1))))
(* (pow a1 2) (* (cos th) (sqrt 1/2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 (.f64 a2 (cos.f64 th)))) (*.f64 a1 a1))))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 (.f64 a2 (cos.f64 th)))) (*.f64 a1 a1))))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 (.f64 a2 (cos.f64 th)))) (*.f64 a1 a1))))
(* (pow a1 2) (* (cos th) (sqrt 1/2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (.f64 (/.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) a2) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (.f64 (/.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) a2) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (.f64 (/.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) a2) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2))))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (.f64 (/.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) a2) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (.f64 (/.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) a2) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (.f64 (/.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) a2) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2))))
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(+ (* (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)))
(+.f64 (.f64 a1 a1) (+.f64 (.f64 a2 a2) (.f64 (.f64 th th) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 th th) #s(literal 1/24 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)))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))) (.f64 (.f64 th th) (.f64 th th))))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
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(sqrt 1/2)
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(* (pow a2 2) (sqrt 1/2))
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(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))
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(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))
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(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))
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eval400.0ms (3.5%)

Memory: 39.9MiB live, 650.5MiB allocated
Compiler: Compiled 83 885 to 3 865 computations (95.4% saved)

prune265.0ms (2.3%)

Memory

-33.9MiB live, 417.5MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	3 234	14	3 248
Fresh	2	1	3
Picked	5	0	5
Done	0	0	0
Total	3 241	15	3 256

Accuracy

100.0%

Counts

3 256 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
	63.4%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
	98.6%	(/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
	62.3%	(/.f64 (.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64)))
▶	98.6%	(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
▶	62.9%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
▶	58.2%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
▶	63.3%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	62.7%	(.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 th th))))
	98.6%	(.f64 (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2)
	98.7%	(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 a2 a2)) (cos.f64 th))
	98.5%	(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) a2) (*.f64 (cos.f64 th) a2))
	63.4%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	99.7%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
	98.6%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))

Compiler

Compiled 434 to 316 computations (27.2% saved)

simplify46.0ms (0.4%)

Memory

31.1MiB live, 69.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
✓	cost-diff	0	(*.f64 a2 a2)
✓	cost-diff	0	(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
✓	cost-diff	0	(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 th th)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
✓	cost-diff	0	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 a2 a2)
✓	cost-diff	0	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	cost-diff	0	(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th))
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))

Rules

862×	`-lowering-.f32`
862×	`-lowering-.f64`
694×	`times-frac`
328×	`accelerator-lowering-fma.f32`
328×	`accelerator-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	206
1	47	206
2	115	202
3	287	202
4	663	202
5	1198	202
6	1383	202
7	1416	202
8	1451	202
9	1460	202
10	1461	202
0	1461	189

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (sqrt 1/2) (* (+ (* a1 a1) (* a2 a2)) (cos th)))
(sqrt 1/2)
1/2
(* (+ (* a1 a1) (* a2 a2)) (cos th))
(+ (* a1 a1) (* a2 a2))
(* a1 a1)
a1
(* a2 a2)
a2
(cos th)
th
(/ (* a2 a2) (sqrt 2))
(* a2 a2)
a2
(sqrt 2)
2
(/ 1 (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))
1
(/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))
(sqrt 2)
2
(+ (* a1 a1) (* a2 a2))
(* a1 a1)
a1
(* a2 a2)
a2
(/ 1 (/ (* (+ (* 1/2 (* th th)) 1) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))
1
(/ (* (+ (* 1/2 (* th th)) 1) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))
(* (+ (* 1/2 (* th th)) 1) (sqrt 2))
(+ (* 1/2 (* th th)) 1)
(* 1/2 (* th th))
1/2
(* th th)
th
(sqrt 2)
2
(+ (* a1 a1) (* a2 a2))
(* a1 a1)
a1
(* a2 a2)
a2
(/ (* a2 a2) (/ (sqrt 2) (cos th)))
(* a2 a2)
a2
(/ (sqrt 2) (cos th))
(sqrt 2)
2
(cos th)
th

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

localize130.0ms (1.1%)

Memory

-0.9MiB live, 153.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.7%	(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
✓	accuracy	99.6%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 th th)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
✓	accuracy	82.7%	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
✓	accuracy	98.6%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	accuracy	100.0%	(*.f64 a2 a2)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th))
✓	accuracy	99.7%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))

Samples

88.0ms

256×

valid

Compiler

Compiled 208 to 27 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 40.0ms (60.9% of total)

ival-div: 13.0ms (19.8% of total)

ival-cos: 6.0ms (9.1% of total)

ival-sqrt: 4.0ms (6.1% of total)

ival-add: 3.0ms (4.6% of total)

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

exact: 0.0ms (0% of total)

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

series30.0ms (0.3%)

Memory

-19.3MiB live, 18.7MiB allocated

Counts

16 → 312

Calls

Call 1

Inputs
#<alt (* (sqrt 1/2) (* (+ (* a1 a1) (* a2 a2)) (cos th)))>
#<alt (sqrt 1/2)>
#<alt (* (+ (* a1 a1) (* a2 a2)) (cos th))>
#<alt (+ (* a1 a1) (* a2 a2))>
#<alt (/ (* a2 a2) (sqrt 2))>
#<alt (* a2 a2)>
#<alt (sqrt 2)>
#<alt (/ 1 (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))>
#<alt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))>
#<alt (/ 1 (/ (* (+ (* 1/2 (* th th)) 1) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))>
#<alt (/ (* (+ (* 1/2 (* th th)) 1) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))>
#<alt (* (+ (* 1/2 (* th th)) 1) (sqrt 2))>
#<alt (+ (* 1/2 (* th th)) 1)>
#<alt (/ (* a2 a2) (/ (sqrt 2) (cos th)))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (cos th)>

Outputs
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 1/2)))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))>
#<alt (+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 1/2)))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))>
#<alt (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))>
#<alt (+ (* -1/2 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))>
#<alt (+ (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))))))>
#<alt (+ (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))) (* 1/24 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))))))))>
#<alt (* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (cos th))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))>
#<alt (* (pow a1 2) (cos th))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))>
#<alt (+ (* (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)))>
#<alt (+ (* (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)))>
#<alt (* (cos th) (+ (pow a1 2) (pow a2 2)))>
#<alt (* (cos th) (+ (pow a1 2) (pow a2 2)))>
#<alt (* (cos th) (+ (pow a1 2) (pow a2 2)))>
#<alt (* (cos th) (+ (pow a1 2) (pow a2 2)))>
#<alt (* (cos th) (+ (pow a1 2) (pow a2 2)))>
#<alt (* (cos th) (+ (pow a1 2) (pow a2 2)))>
#<alt (* (cos th) (+ (pow a1 2) (pow a2 2)))>
#<alt (* (cos th) (+ (pow a1 2) (pow a2 2)))>
#<alt (pow a2 2)>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (pow a1 2)>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (pow a1 2)>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (pow a1 2)>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
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#<alt (+ (* (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)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* 1/2 (* (pow th 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))>
#<alt (+ (sqrt 2) (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (sqrt 2)) (+ (* 1/48 (sqrt 2)) (* 1/2 (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2)))))))) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow th 2)))>
#<alt (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))>
#<alt (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>

Calls

78 calls:

Time	Variable		Point	Expression
13.0ms	th	@	inf	(/ (* (+ (* 1/2 (* th th)) 1) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))
1.0ms	a2	@	inf	(/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))
1.0ms	a1	@	0	(/ 1 (/ (* (+ (* 1/2 (* th th)) 1) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))
1.0ms	th	@	inf	(/ 1 (/ (* (+ (* 1/2 (* th th)) 1) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))
1.0ms	a2	@	0	(/ 1 (/ (* (+ (* 1/2 (* th th)) 1) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))

rewrite429.0ms (3.7%)

Memory

31.7MiB live, 738.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 558×	`-lowering-.f32`
5 558×	`-lowering-.f64`
4 462×	`accelerator-lowering-fma.f32`
4 462×	`accelerator-lowering-fma.f64`
4 420×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	136
1	120	132
2	835	132
0	8422	121

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 1 617

Calls

Call 1

Inputs
(* (sqrt 1/2) (* (+ (* a1 a1) (* a2 a2)) (cos th)))
(sqrt 1/2)
(* (+ (* a1 a1) (* a2 a2)) (cos th))
(+ (* a1 a1) (* a2 a2))
(/ (* a2 a2) (sqrt 2))
(* a2 a2)
(sqrt 2)
(/ 1 (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))
(/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))
(/ 1 (/ (* (+ (* 1/2 (* th th)) 1) (sqrt 2)) (+ (* a1 a1) (* a2 a2))))
(/ (* (+ (* 1/2 (* th th)) 1) (sqrt 2)) (+ (* a1 a1) (* a2 a2)))
(* (+ (* 1/2 (* th th)) 1) (sqrt 2))
(+ (* 1/2 (* th th)) 1)
(/ (* a2 a2) (/ (sqrt 2) (cos th)))
(/ (sqrt 2) (cos th))
(cos th)

Outputs
(+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (.f64 a2 a2))))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (.f64 a2 a2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a1 (.f64 a1 (cos.f64 th)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 (.f64 a2 (cos.f64 th)))))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a1 (.f64 a1 (cos.f64 th)))))
(+.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a1 a1))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 a2))))
(+.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 a2))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a1 a1))))
(+.f64 (.f64 (cos.f64 th) (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (cos.f64 th) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))))
(+.f64 (.f64 (cos.f64 th) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (cos.f64 th) (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))))))
(+.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (.f64 a1 a1)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (.f64 a2 a2)))
(+.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (.f64 a2 a2)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (.f64 a1 a1)))
(+.f64 (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a1 a1)) (cos.f64 th)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 a2)) (cos.f64 th)))
(+.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 a2)) (cos.f64 th)) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a1 a1)) (cos.f64 th)))
(+.f64 (.f64 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 1/2 binary64)))) (cos.f64 th)) (.f64 (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))) (cos.f64 th)))
(+.f64 (.f64 (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))) (cos.f64 th)) (.f64 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 1/2 binary64)))) (cos.f64 th)))
(+.f64 (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))))
(+.f64 (.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))) (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a1 (.f64 a1 (cos.f64 th))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th)))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 (.f64 a2 (cos.f64 th))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a1 (*.f64 a1 (cos.f64 th)))))
(fma.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (.f64 (.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))))
(fma.f64 (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (.f64 (.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))))
(fma.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a1 a1)) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a2 a2))))
(fma.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a1 a1))))
(fma.f64 (cos.f64 th) (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))))
(fma.f64 (cos.f64 th) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (cos.f64 th) (.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a1 a1)) (cos.f64 th) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a2 a2)) (cos.f64 th)))
(fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 a2)) (cos.f64 th) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 1/2 binary64)))) (cos.f64 th) (.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))) (cos.f64 th)))
(fma.f64 (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))) (cos.f64 th) (.f64 (.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64)))) (cos.f64 th)))
(fma.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (.f64 a1 a1) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (*.f64 a2 a2)))
(fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (.f64 a2 a2) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (*.f64 a1 a1)))
(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (cos.f64 th) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))) (cos.f64 th))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (cos.f64 th))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 a1 a1)) (.f64 a2 a2)))) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 a1 a1)) (*.f64 a2 a2)))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)) (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 (.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))))
(/.f64 (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 a1 a1)) (.f64 a2 a2))) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 a1 a1)) (*.f64 a2 a2)))
(/.f64 (.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 (.f64 (.f64 (cos.f64 th) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (.f64 (.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))) (cos.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (.f64 (.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (cos.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))
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(/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
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(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th)))))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th))) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (.f64 (.f64 th th) #s(literal -1/2 binary64)))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(-.f64 (/.f64 (/.f64 (.f64 th (.f64 th (.f64 (.f64 th th) #s(literal 1/4 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal -1 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (.f64 (.f64 th th) #s(literal -1/2 binary64)))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(fma.f64 (.f64 a1 a1) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th)))) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th)))) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 #s(literal 1/2 binary64) (*.f64 th th))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 th th)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (.f64 th th) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 th th))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (.f64 (.f64 th th) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 #s(literal 1/2 binary64) (*.f64 th th))))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 th th)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (.f64 th th) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 th th))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (.f64 (.f64 th th) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) #s(literal 1 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 #s(literal 1/2 binary64) (*.f64 th th))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 th th)))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (.f64 th th) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 th th))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) #s(literal 1 binary64) (.f64 (.f64 (.f64 th th) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 #s(literal 1/2 binary64) (.f64 th th)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 #s(literal 1/2 binary64) (*.f64 th th))))
(fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 th th)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (.f64 th th) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 th th))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (.f64 (.f64 th th) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) #s(literal -1 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 #s(literal 1/2 binary64) (*.f64 th th))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 th th)))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (.f64 th th) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) #s(literal -1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) #s(literal -1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 th th))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) #s(literal -1 binary64) (.f64 (.f64 (.f64 th th) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 #s(literal 1/2 binary64) (*.f64 th th))))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 th th)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (.f64 th th) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 th th))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (.f64 (.f64 th th) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) #s(literal 1 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 #s(literal 1/2 binary64) (.f64 th th))))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 th th)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (.f64 th th) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 th th))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 th th) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(fma.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th)))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th)))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))))
(fma.f64 (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th)))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 th th)))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 #s(literal 1/2 binary64) (*.f64 th th))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 th th)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (.f64 th th) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 th th))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 th th) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 th th))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (.f64 th th) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
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(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)))
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (*.f64 a2 a2)))
(/.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 a2 (cos.f64 th))))
(/.f64 (/.f64 (*.f64 a2 a2) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 th)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (.f64 a2 (-.f64 #s(literal 0 binary64) (cos.f64 th)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 a2 (.f64 a2 (-.f64 #s(literal 0 binary64) (cos.f64 th)))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (.f64 a2 a2)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) a2) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) a2))
(/.f64 (.f64 #s(literal 1 binary64) a2) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(/.f64 (.f64 (.f64 a2 a2) #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 th))))
(/.f64 (neg.f64 (.f64 a2 (.f64 a2 (-.f64 #s(literal 0 binary64) (cos.f64 th))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 a2 a2) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 th))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 th))))
(/.f64 (.f64 (cos.f64 th) (-.f64 #s(literal 0 binary64) (.f64 a2 a2))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (cos.f64 th) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 a2 (*.f64 a2 (cos.f64 th)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 a2 (*.f64 a2 (-.f64 #s(literal 0 binary64) (cos.f64 th))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 a2 (cos.f64 th))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(/.f64 (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (.f64 a2 (.f64 a2 (-.f64 #s(literal 0 binary64) (cos.f64 th)))) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (.f64 a2 a2))) #s(literal -1 binary64))
(*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(.f64 a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2))
(.f64 a2 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 a2 (cos.f64 th))))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (cos.f64 th))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 th)))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (/.f64 (cos.f64 th) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 a2 a2)) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (.f64 a2 a2)) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (.f64 a2 a2) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (cos.f64 th) (/.f64 #s(literal 1 binary64) (.f64 a2 a2))))
(.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 (cos.f64 th)))
(.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 a2 (cos.f64 th))) #s(literal -1 binary64)))
(.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) a2))
(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)
(.f64 (-.f64 #s(literal 0 binary64) a2) (.f64 a2 (/.f64 (cos.f64 th) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (*.f64 a2 a2)))
(.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 a2 a2) (/.f64 #s(literal -1 binary64) (cos.f64 th))))
(.f64 (/.f64 (.f64 a2 a2) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 th)))
(.f64 (/.f64 (.f64 a2 a2) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 th))))
(.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 a2 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) a2) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(*.f64 (/.f64 a2 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 a2 (/.f64 #s(literal -1 binary64) (cos.f64 th))))
(.f64 (/.f64 a2 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) a2))
(.f64 (.f64 a2 (*.f64 a2 (-.f64 #s(literal 0 binary64) (cos.f64 th)))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 a2 a2) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(.f64 (/.f64 (.f64 a2 a2) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 (/.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 a2 (cos.f64 th)))
(*.f64 (/.f64 a2 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(.f64 (/.f64 (.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (.f64 a2 a2))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (*.f64 a2 a2))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (*.f64 a2 a2) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (cos.f64 th)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a2 a2))) (/.f64 (cos.f64 th) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 a2 (/.f64 a2 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (cos.f64 th)))
(.f64 (.f64 (cos.f64 th) (-.f64 #s(literal 0 binary64) (*.f64 a2 a2))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) a2)
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2)
(.f64 (.f64 (/.f64 (*.f64 a2 a2) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)) (cos.f64 th))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 th))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 th))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 th))))
(neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 th))))
(neg.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 th))) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 th) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 th)))
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 th))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 th)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 th)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 th)))
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 th)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 1 binary64))
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 th))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 th)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 th)))
(*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(cos.f64 th)
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 th)))
(neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)))
(/.f64 (cos.f64 th) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) #s(literal -1 binary64))
(*.f64 (cos.f64 th) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 th))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 th)))

simplify606.0ms (5.3%)

Memory

-52.5MiB live, 824.9MiB allocated

Algorithm

1×	egg-herbie

Rules

13 504×	`accelerator-lowering-fma.f32`
13 504×	`accelerator-lowering-fma.f64`
6 598×	`-lowering-.f32`
6 598×	`-lowering-.f64`
4 862×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	366	5547
1	1116	5443
2	4105	5074
0	8615	4744

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

Inputs
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(* (pow a1 2) (* (cos th) (sqrt 1/2)))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(* (pow a1 2) (* (cos th) (sqrt 1/2)))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(* (pow a1 2) (* (cos th) (sqrt 1/2)))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
(* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))
(+ (* -1/2 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(+ (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))))))
(+ (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))) (* 1/24 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))))))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (cos th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(* (pow a1 2) (cos th))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (cos th))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (cos th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
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(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
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(* 2 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2))))
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(/ (- (+ (* -16 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 6) (sqrt 2)))) (* 2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)))) (+ (* -8 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 4) (sqrt 2)))) (* 4 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2)))))) (pow th 2))
(* 2 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2))))
(/ (+ (* -4 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2)))) (* 2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)))) (pow th 2))
(/ (- (+ (* 2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 8 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 4) (sqrt 2))))) (* 4 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2))))) (pow th 2))
(/ (- (+ (* -16 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 6) (sqrt 2)))) (* 2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)))) (+ (* -8 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 4) (sqrt 2)))) (* 4 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2)))))) (pow th 2))
(/ (pow a2 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2)))))
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(+ (/ (pow a1 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (/ (pow a2 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))))
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(/ (pow a1 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2)))))
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(/ (pow a1 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2)))))
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(/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))
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(+ (* 1/2 (/ (* (pow th 2) (sqrt 2)) (+ (pow a1 2) (pow a2 2)))) (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(* 1/2 (/ (* (pow th 2) (sqrt 2)) (+ (pow a1 2) (pow a2 2))))
(* (pow th 2) (+ (* 1/2 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (/ (sqrt 2) (* (pow th 2) (+ (pow a1 2) (pow a2 2))))))
(* (pow th 2) (+ (* 1/2 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (/ (sqrt 2) (* (pow th 2) (+ (pow a1 2) (pow a2 2))))))
(* (pow th 2) (+ (* 1/2 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (/ (sqrt 2) (* (pow th 2) (+ (pow a1 2) (pow a2 2))))))
(* 1/2 (/ (* (pow th 2) (sqrt 2)) (+ (pow a1 2) (pow a2 2))))
(* (pow th 2) (+ (* 1/2 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (/ (sqrt 2) (* (pow th 2) (+ (pow a1 2) (pow a2 2))))))
(* (pow th 2) (+ (* 1/2 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (/ (sqrt 2) (* (pow th 2) (+ (pow a1 2) (pow a2 2))))))
(* (pow th 2) (+ (* 1/2 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (/ (sqrt 2) (* (pow th 2) (+ (pow a1 2) (pow a2 2))))))
(/ (* (sqrt 2) (+ 1 (* 1/2 (pow th 2)))) (pow a2 2))
(+ (* -1 (/ (* (pow a1 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a2 4))) (/ (* (sqrt 2) (+ 1 (* 1/2 (pow th 2)))) (pow a2 2)))
(+ (* (pow a1 2) (- (/ (* (pow a1 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a2 6)) (/ (* (sqrt 2) (+ 1 (* 1/2 (pow th 2)))) (pow a2 4)))) (/ (* (sqrt 2) (+ 1 (* 1/2 (pow th 2)))) (pow a2 2)))
(+ (* (pow a1 2) (- (* (pow a1 2) (- (* -1 (/ (* (pow a1 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a2 8))) (* -1 (/ (* (sqrt 2) (+ 1 (* 1/2 (pow th 2)))) (pow a2 6))))) (/ (* (sqrt 2) (+ 1 (* 1/2 (pow th 2)))) (pow a2 4)))) (/ (* (sqrt 2) (+ 1 (* 1/2 (pow th 2)))) (pow a2 2)))
(/ (* (sqrt 2) (+ 1 (* 1/2 (pow th 2)))) (pow a1 2))
(/ (+ (* -1 (/ (* (pow a2 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a1 2))) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a1 2))
(/ (- (+ (* (sqrt 2) (+ 1 (* 1/2 (pow th 2)))) (/ (* (pow a2 4) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a1 4))) (/ (* (pow a2 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a1 2))) (pow a1 2))
(/ (- (+ (* -1 (/ (* (pow a2 6) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a1 6))) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (+ (* -1 (/ (* (pow a2 4) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a1 4))) (/ (* (pow a2 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a1 2)))) (pow a1 2))
(/ (* (sqrt 2) (+ 1 (* 1/2 (pow th 2)))) (pow a1 2))
(/ (+ (* -1 (/ (* (pow a2 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a1 2))) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a1 2))
(/ (- (+ (* (sqrt 2) (+ 1 (* 1/2 (pow th 2)))) (/ (* (pow a2 4) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a1 4))) (/ (* (pow a2 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a1 2))) (pow a1 2))
(/ (- (+ (* -1 (/ (* (pow a2 6) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a1 6))) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (+ (* -1 (/ (* (pow a2 4) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a1 4))) (/ (* (pow a2 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a1 2)))) (pow a1 2))
(/ (* (sqrt 2) (+ 1 (* 1/2 (pow th 2)))) (pow a1 2))
(+ (* -1 (/ (* (pow a2 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a1 4))) (/ (* (sqrt 2) (+ 1 (* 1/2 (pow th 2)))) (pow a1 2)))
(+ (* (pow a2 2) (- (/ (* (pow a2 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a1 6)) (/ (* (sqrt 2) (+ 1 (* 1/2 (pow th 2)))) (pow a1 4)))) (/ (* (sqrt 2) (+ 1 (* 1/2 (pow th 2)))) (pow a1 2)))
(+ (* (pow a2 2) (- (* (pow a2 2) (- (* -1 (/ (* (pow a2 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a1 8))) (* -1 (/ (* (sqrt 2) (+ 1 (* 1/2 (pow th 2)))) (pow a1 6))))) (/ (* (sqrt 2) (+ 1 (* 1/2 (pow th 2)))) (pow a1 4)))) (/ (* (sqrt 2) (+ 1 (* 1/2 (pow th 2)))) (pow a1 2)))
(/ (* (sqrt 2) (+ 1 (* 1/2 (pow th 2)))) (pow a2 2))
(/ (+ (* -1 (/ (* (pow a1 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a2 2))) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a2 2))
(/ (- (+ (* (sqrt 2) (+ 1 (* 1/2 (pow th 2)))) (/ (* (pow a1 4) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a2 4))) (/ (* (pow a1 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a2 2))) (pow a2 2))
(/ (- (+ (* -1 (/ (* (pow a1 6) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a2 6))) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (+ (* -1 (/ (* (pow a1 4) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a2 4))) (/ (* (pow a1 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a2 2)))) (pow a2 2))
(/ (* (sqrt 2) (+ 1 (* 1/2 (pow th 2)))) (pow a2 2))
(/ (+ (* -1 (/ (* (pow a1 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a2 2))) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a2 2))
(/ (- (+ (* (sqrt 2) (+ 1 (* 1/2 (pow th 2)))) (/ (* (pow a1 4) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a2 4))) (/ (* (pow a1 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a2 2))) (pow a2 2))
(/ (- (+ (* -1 (/ (* (pow a1 6) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a2 6))) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (+ (* -1 (/ (* (pow a1 4) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a2 4))) (/ (* (pow a1 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (pow a2 2)))) (pow a2 2))
(sqrt 2)
(+ (sqrt 2) (* 1/2 (* (pow th 2) (sqrt 2))))
(+ (sqrt 2) (* 1/2 (* (pow th 2) (sqrt 2))))
(+ (sqrt 2) (* 1/2 (* (pow th 2) (sqrt 2))))
(* 1/2 (* (pow th 2) (sqrt 2)))
(* (pow th 2) (+ (* 1/2 (sqrt 2)) (/ (sqrt 2) (pow th 2))))
(* (pow th 2) (+ (* 1/2 (sqrt 2)) (/ (sqrt 2) (pow th 2))))
(* (pow th 2) (+ (* 1/2 (sqrt 2)) (/ (sqrt 2) (pow th 2))))
(* 1/2 (* (pow th 2) (sqrt 2)))
(* (pow th 2) (+ (* 1/2 (sqrt 2)) (/ (sqrt 2) (pow th 2))))
(* (pow th 2) (+ (* 1/2 (sqrt 2)) (/ (sqrt 2) (pow th 2))))
(* (pow th 2) (+ (* 1/2 (sqrt 2)) (/ (sqrt 2) (pow th 2))))
1
(+ 1 (* 1/2 (pow th 2)))
(+ 1 (* 1/2 (pow th 2)))
(+ 1 (* 1/2 (pow th 2)))
(* 1/2 (pow th 2))
(* (pow th 2) (+ 1/2 (/ 1 (pow th 2))))
(* (pow th 2) (+ 1/2 (/ 1 (pow th 2))))
(* (pow th 2) (+ 1/2 (/ 1 (pow th 2))))
(* 1/2 (pow th 2))
(* (pow th 2) (+ 1/2 (/ 1 (pow th 2))))
(* (pow th 2) (+ 1/2 (/ 1 (pow th 2))))
(* (pow th 2) (+ 1/2 (/ 1 (pow th 2))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(sqrt 2)
(+ (sqrt 2) (* 1/2 (* (pow th 2) (sqrt 2))))
(+ (sqrt 2) (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
(+ (sqrt 2) (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (sqrt 2)) (+ (* 1/48 (sqrt 2)) (* 1/2 (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2)))))))) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
1
(+ 1 (* -1/2 (pow th 2)))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)

Outputs
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(* (pow a1 2) (* (cos th) (sqrt 1/2)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a1 a1)))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 a2 a2) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 a1 a1))))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 a2 a2) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 a1 a1))))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 a2 a2) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 a1 a1))))
(* (pow a1 2) (* (cos th) (sqrt 1/2)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a1 a1)))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 a2 a2) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 a1 a1))))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 a2 a2) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 a1 a1))))
(* (pow a1 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a2 2) (* (cos th) (sqrt 1/2))) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 a2 a2) (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 a1 a1))))
(* (pow a1 2) (* (cos th) (sqrt 1/2)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a1 a1)))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(+ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (* (pow a2 2) (* (cos th) (sqrt 1/2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 (.f64 a1 a1) a2) a2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 (.f64 a1 a1) a2) a2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 (.f64 a1 a1) a2) a2))))
(* (pow a2 2) (* (cos th) (sqrt 1/2)))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 (.f64 a1 a1) a2) a2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 (.f64 a1 a1) a2) a2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 1/2)) (/ (* (pow a1 2) (* (cos th) (sqrt 1/2))) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 (.f64 a1 a1) a2) a2))))
(* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+ (* -1/2 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(+ (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (.f64 (.f64 th th) (.f64 (.f64 th th) #s(literal 1/24 binary64)))))
(+ (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))) (* 1/24 (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2)))))))))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (.f64 th th) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 th (.f64 th (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64))))))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(* (cos th) (* (sqrt 1/2) (+ (pow a1 2) (pow a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(* (pow a2 2) (cos th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(* (pow a1 2) (cos th))
(.f64 (cos.f64 th) (.f64 a1 a1))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 (cos.f64 th) (.f64 a2 (.f64 a2 (/.f64 (/.f64 (cos.f64 th) a1) a1)))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 (cos.f64 th) (.f64 a2 (.f64 a2 (/.f64 (/.f64 (cos.f64 th) a1) a1)))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 (cos.f64 th) (.f64 a2 (.f64 a2 (/.f64 (/.f64 (cos.f64 th) a1) a1)))))
(* (pow a1 2) (cos th))
(.f64 (cos.f64 th) (.f64 a1 a1))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 (cos.f64 th) (.f64 a2 (.f64 a2 (/.f64 (/.f64 (cos.f64 th) a1) a1)))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 (cos.f64 th) (.f64 a2 (.f64 a2 (/.f64 (/.f64 (cos.f64 th) a1) a1)))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 (cos.f64 th) (.f64 a2 (.f64 a2 (/.f64 (/.f64 (cos.f64 th) a1) a1)))))
(* (pow a1 2) (cos th))
(.f64 (cos.f64 th) (.f64 a1 a1))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(* (pow a2 2) (cos th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 (cos.f64 th) (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (*.f64 a2 a2))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 (cos.f64 th) (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (*.f64 a2 a2))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 (cos.f64 th) (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (*.f64 a2 a2))))
(* (pow a2 2) (cos th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 (cos.f64 th) (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (*.f64 a2 a2))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 (cos.f64 th) (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (*.f64 a2 a2))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 (cos.f64 th) (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (*.f64 a2 a2))))
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+ (* (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)))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (.f64 (.f64 th th) (.f64 (*.f64 th th) #s(literal 1/24 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)))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (.f64 th th) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 th (.f64 th (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64))))))))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(pow a2 2)
(*.f64 a2 a2)
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(pow a1 2)
(*.f64 a1 a1)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))))
(pow a1 2)
(*.f64 a1 a1)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))))
(pow a1 2)
(*.f64 a1 a1)
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(pow a2 2)
(*.f64 a2 a2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a1 a1) a2) a2)) a2) a2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a1 a1) a2) a2)) a2) a2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a1 a1) a2) a2)) a2) a2)
(pow a2 2)
(*.f64 a2 a2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a1 a1) a2) a2)) a2) a2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
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(cos th)
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eval425.0ms (3.7%)

Memory: 18.3MiB live, 557.7MiB allocated
Compiler: Compiled 71 200 to 5 089 computations (92.9% saved)

prune377.0ms (3.3%)

Memory

-11.3MiB live, 802.1MiB allocated

Pruning

32 alts after pruning (29 fresh and 3 done)

	Pruned	Kept	Total
New	2 356	27	2 383
Fresh	8	2	10
Picked	2	3	5
Done	0	0	0
Total	2 366	32	2 398

Accuracy

100.0%

Counts

2 398 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.3%	(/.f64 (/.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 a1 a2)) (-.f64 a1 a2))
	57.7%	(/.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 th th))))
	8.6%	(/.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))))
	63.4%	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
▶	99.6%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
	62.3%	(/.f64 (.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64)))
✓	98.6%	(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
▶	62.9%	(/.f64 (*.f64 a2 a2) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
✓	62.9%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
	14.0%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
	98.6%	(/.f64 a2 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) a2))
	62.9%	(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
	15.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))))
	8.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))))
	8.6%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
	2.2%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 a1 a1)))
▶	28.5%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
	62.9%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
	14.0%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
▶	63.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
	63.3%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
	46.1%	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))
	63.0%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 a2))
	16.7%	(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))
▶	62.9%	(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
	63.3%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	62.3%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
	62.9%	(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) a2) a2)
	98.6%	(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
	63.4%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	99.7%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
	98.7%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (*.f64 a2 a2) (cos.f64 th)))

Compiler

Compiled 1 165 to 721 computations (38.1% saved)

simplify212.0ms (1.9%)

Memory

32.4MiB live, 406.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))))
✓	cost-diff	128	(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
✓	cost-diff	1024	(.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))
✓	cost-diff	0	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
✓	cost-diff	0	(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
✓	cost-diff	0	(*.f64 a2 a2)
✓	cost-diff	128	(/.f64 (*.f64 a2 a2) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
✓	cost-diff	0	(*.f64 a2 a2)
✓	cost-diff	0	(*.f64 a1 a1)
✓	cost-diff	0	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))

Rules

3 742×	`-lowering-.f32`
3 742×	`-lowering-.f64`
3 202×	`/-lowering-/.f32`
3 202×	`/-lowering-/.f64`
2 564×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	204
1	64	202
2	186	198
3	1115	198
4	5693	198
0	8371	188

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) (cos th)))
(+ (* a1 a1) (* a2 a2))
(* a1 a1)
a1
(* a2 a2)
a2
(/ (sqrt 2) (cos th))
(sqrt 2)
2
(cos th)
th
(* (/ a2 (sqrt 2)) a2)
(/ a2 (sqrt 2))
a2
(sqrt 2)
2
(/ (* a2 a2) (/ 1 (pow 2 -1/2)))
(* a2 a2)
a2
(/ 1 (pow 2 -1/2))
1
(pow 2 -1/2)
2
-1/2
(/ 1 (/ 1 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))
1
(/ 1 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))
(/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))
(+ (* a1 a1) (* a2 a2))
(* a1 a1)
a1
(* a2 a2)
a2
(sqrt 2)
2
(/ 1 (/ (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (/ (/ 1 (+ a1 a2)) (- a1 a2))))))
1
(/ (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (/ (/ 1 (+ a1 a2)) (- a1 a2)))))
(sqrt 2)
2
(* (+ (* a1 a1) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (/ (/ 1 (+ a1 a2)) (- a1 a2))))
(+ (* a1 a1) (* a2 a2))
(* a1 a1)
a1
(* a2 a2)
a2
(* (- (* a1 a1) (* a2 a2)) (/ (/ 1 (+ a1 a2)) (- a1 a2)))
(- (* a1 a1) (* a2 a2))
(/ (/ 1 (+ a1 a2)) (- a1 a2))
(/ 1 (+ a1 a2))
(+ a1 a2)
(- a1 a2)

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

localize157.0ms (1.4%)

Memory

-1.7MiB live, 306.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))
✓	accuracy	98.6%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))))
✓	accuracy	93.0%	(-.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	51.7%	(.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
✓	accuracy	99.6%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	98.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	100.0%	(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 a2 a2)
✓	accuracy	99.6%	(/.f64 (*.f64 a2 a2) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.8%	(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
✓	accuracy	99.3%	(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.7%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
✓	accuracy	99.6%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))

Samples

107.0ms

256×

valid

Compiler

Compiled 280 to 32 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-div: 37.0ms (59% of total)

ival-mult: 8.0ms (12.8% of total)

ival-cos: 7.0ms (11.2% of total)

ival-pow: 4.0ms (6.4% of total)

ival-add: 2.0ms (3.2% of total)

ival-sub: 2.0ms (3.2% of total)

ival-sqrt: 2.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series49.0ms (0.4%)

Memory

0.9MiB live, 78.2MiB allocated

Counts

21 → 360

Calls

Call 1

Inputs
#<alt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) (cos th)))>
#<alt (+ (* a1 a1) (* a2 a2))>
#<alt (* a1 a1)>
#<alt (* a2 a2)>
#<alt (* (/ a2 (sqrt 2)) a2)>
#<alt (/ a2 (sqrt 2))>
#<alt (sqrt 2)>
#<alt (/ (* a2 a2) (/ 1 (pow 2 -1/2)))>
#<alt (/ 1 (pow 2 -1/2))>
#<alt (pow 2 -1/2)>
#<alt (/ 1 (/ 1 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))>
#<alt (/ 1 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))>
#<alt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))>
#<alt (* (- (* a1 a1) (* a2 a2)) (/ (/ 1 (+ a1 a2)) (- a1 a2)))>
#<alt (/ 1 (/ (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (/ (/ 1 (+ a1 a2)) (- a1 a2))))))>
#<alt (* (+ (* a1 a1) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (/ (/ 1 (+ a1 a2)) (- a1 a2))))>
#<alt (/ (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (/ (/ 1 (+ a1 a2)) (- a1 a2)))))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (cos th)>
#<alt (- (* a1 a1) (* a2 a2))>
#<alt (/ (/ 1 (+ a1 a2)) (- a1 a2))>

Outputs
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
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#<alt (+ (* a1 (+ a2 (* -1 a2))) (pow a2 2))>
#<alt (+ (* a1 (- (* a1 (- (+ 1 (* -1 (/ (+ (* -1 (pow a2 2)) (pow a2 2)) (pow a2 2)))) (* -1 (/ (pow (+ a2 (* -1 a2)) 2) (pow a2 2))))) (* -1 (+ a2 (* -1 a2))))) (pow a2 2))>
#<alt (+ (* a1 (- (* a1 (- (+ 1 (+ (* -1 (* a1 (+ (* -1 (/ (* (+ a2 (* -1 a2)) (- (+ 1 (* -1 (/ (+ (* -1 (pow a2 2)) (pow a2 2)) (pow a2 2)))) (* -1 (/ (pow (+ a2 (* -1 a2)) 2) (pow a2 2))))) (pow a2 2))) (* -1 (/ (+ a2 (* -1 a2)) (pow a2 2)))))) (* -1 (/ (+ (* -1 (pow a2 2)) (pow a2 2)) (pow a2 2))))) (* -1 (/ (pow (+ a2 (* -1 a2)) 2) (pow a2 2))))) (* -1 (+ a2 (* -1 a2))))) (pow a2 2))>
#<alt (pow a1 2)>
#<alt (* (pow a1 2) (+ 1 (* -1 (/ (+ a2 (* -1 a2)) a1))))>
#<alt (* (pow a1 2) (- (+ 1 (/ (pow a2 2) (pow a1 2))) (+ (* -1 (/ a2 a1)) (+ (* -1 (/ (pow (+ a2 (* -1 a2)) 2) (pow a1 2))) (/ a2 a1)))))>
#<alt (* (pow a1 2) (- (+ 1 (+ (* -1 (/ (+ (* (+ a2 (* -1 a2)) (- (pow a2 2) (* -1 (pow (+ a2 (* -1 a2)) 2)))) (* (pow a2 2) (+ a2 (* -1 a2)))) (pow a1 3))) (/ (pow a2 2) (pow a1 2)))) (+ (* -1 (/ a2 a1)) (+ (* -1 (/ (pow (+ a2 (* -1 a2)) 2) (pow a1 2))) (/ a2 a1)))))>
#<alt (pow a1 2)>
#<alt (* (pow a1 2) (+ 1 (* -1 (/ (+ a2 (* -1 a2)) a1))))>
#<alt (* (pow a1 2) (+ 1 (* -1 (/ (- (+ a2 (+ (* -1 a2) (* -1 (/ (+ (* -1 (pow a2 2)) (pow a2 2)) a1)))) (+ (/ (pow a2 2) a1) (/ (pow (+ a2 (* -1 a2)) 2) a1))) a1))))>
#<alt (* (pow a1 2) (+ 1 (* -1 (/ (+ a2 (+ (* -1 a2) (* -1 (/ (+ (* -1 (- (* -1 (+ (* -1 (pow a2 2)) (pow a2 2))) (+ (pow a2 2) (pow (+ a2 (* -1 a2)) 2)))) (* -1 (/ (+ (* -1 (* (+ a2 (* -1 a2)) (- (* -1 (+ (* -1 (pow a2 2)) (pow a2 2))) (+ (pow a2 2) (pow (+ a2 (* -1 a2)) 2))))) (* (pow a2 2) (+ a2 (* -1 a2)))) a1))) a1)))) a1))))>
#<alt (pow a1 2)>
#<alt (+ (* -1 (* a2 (+ a1 (* -1 a1)))) (pow a1 2))>
#<alt (+ (* a2 (- (* a2 (- 1 (* -1 (/ (pow (+ a1 (* -1 a1)) 2) (pow a1 2))))) (+ a1 (* -1 a1)))) (pow a1 2))>
#<alt (+ (* a2 (- (* a2 (- (+ 1 (* -1 (/ (* a2 (* (+ a1 (* -1 a1)) (- 1 (* -1 (/ (pow (+ a1 (* -1 a1)) 2) (pow a1 2)))))) (pow a1 2)))) (* -1 (/ (pow (+ a1 (* -1 a1)) 2) (pow a1 2))))) (+ a1 (* -1 a1)))) (pow a1 2))>
#<alt (pow a2 2)>
#<alt (* (pow a2 2) (+ 1 (+ (* -1 (/ a1 a2)) (/ a1 a2))))>
#<alt (* (pow a2 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow a1 2)) (pow a1 2)) (pow a2 2)))) (+ (* -1 (/ (+ a1 (* -1 a1)) a2)) (+ (* -1 (/ (pow a1 2) (pow a2 2))) (* -1 (/ (pow (+ a1 (* -1 a1)) 2) (pow a2 2)))))))>
#<alt (* (pow a2 2) (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ a1 (* -1 a1)) (- (* -1 (+ (* -1 (pow a1 2)) (pow a1 2))) (+ (* -1 (pow a1 2)) (* -1 (pow (+ a1 (* -1 a1)) 2)))))) (* -1 (* (pow a1 2) (+ a1 (* -1 a1))))) (pow a2 3))) (* -1 (/ (+ (* -1 (pow a1 2)) (pow a1 2)) (pow a2 2))))) (+ (* -1 (/ (+ a1 (* -1 a1)) a2)) (+ (* -1 (/ (pow a1 2) (pow a2 2))) (* -1 (/ (pow (+ a1 (* -1 a1)) 2) (pow a2 2)))))))>
#<alt (pow a2 2)>
#<alt (* (pow a2 2) (+ 1 (* -1 (/ (+ a1 (* -1 a1)) a2))))>
#<alt (* (pow a2 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (+ (* -1 (pow a1 2)) (pow a1 2))) (+ (* -1 (pow a1 2)) (* -1 (pow (+ a1 (* -1 a1)) 2)))) a2)) (* -1 (+ a1 (* -1 a1)))) a2))))>
#<alt (* (pow a2 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (+ (* -1 (pow a1 2)) (pow a1 2))) (+ (* -1 (/ (* (+ a1 (* -1 a1)) (- (* -1 (+ (* -1 (pow a1 2)) (pow a1 2))) (+ (* -1 (pow a1 2)) (* -1 (pow (+ a1 (* -1 a1)) 2))))) a2)) (* -1 (/ (* (pow a1 2) (+ a1 (* -1 a1))) a2)))) (+ (* -1 (pow a1 2)) (* -1 (pow (+ a1 (* -1 a1)) 2)))) a2)) (* -1 (+ a1 (* -1 a1)))) a2))))>
#<alt (/ (sqrt 2) (pow a2 2))>
#<alt (+ (* -1 (/ (* a1 (* (sqrt 2) (+ a2 (* -1 a2)))) (pow a2 4))) (/ (sqrt 2) (pow a2 2)))>
#<alt (+ (* a1 (+ (* -1 (/ (* (sqrt 2) (+ a2 (* -1 a2))) (pow a2 4))) (* a1 (- (* -1 (/ (sqrt 2) (pow a2 4))) (* -1 (/ (* (sqrt 2) (+ (* -1 (pow a2 2)) (pow a2 2))) (pow a2 6))))))) (/ (sqrt 2) (pow a2 2)))>
#<alt (+ (* a1 (+ (* -1 (/ (* (sqrt 2) (+ a2 (* -1 a2))) (pow a2 4))) (* a1 (- (+ (* -1 (/ (sqrt 2) (pow a2 4))) (* -1 (/ (* a1 (* (sqrt 2) (* (+ a2 (* -1 a2)) (+ (* -1 (pow a2 2)) (pow a2 2))))) (pow a2 8)))) (* -1 (/ (* (sqrt 2) (+ (* -1 (pow a2 2)) (pow a2 2))) (pow a2 6))))))) (/ (sqrt 2) (pow a2 2)))>
#<alt (/ (sqrt 2) (pow a1 2))>
#<alt (/ (+ (sqrt 2) (/ (* (sqrt 2) (+ a2 (* -1 a2))) a1)) (pow a1 2))>
#<alt (/ (- (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (sqrt 2) (+ a2 (* -1 a2))) a1))) (/ (* (sqrt 2) (+ (* -1 (pow a2 2)) (pow a2 2))) (pow a1 2))) (pow a1 2))>
#<alt (/ (- (+ (sqrt 2) (+ (* -1 (/ (* (sqrt 2) (* (+ a2 (* -1 a2)) (+ (* -1 (pow a2 2)) (pow a2 2)))) (pow a1 3))) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (sqrt 2) (+ a2 (* -1 a2))) a1)))) (/ (* (sqrt 2) (+ (* -1 (pow a2 2)) (pow a2 2))) (pow a1 2))) (pow a1 2))>
#<alt (/ (sqrt 2) (pow a1 2))>
#<alt (/ (+ (sqrt 2) (/ (* (sqrt 2) (+ a2 (* -1 a2))) a1)) (pow a1 2))>
#<alt (/ (+ (sqrt 2) (* -1 (/ (- (+ (* -1 (* (sqrt 2) (+ a2 (* -1 a2)))) (/ (* (pow a2 2) (sqrt 2)) a1)) (* -1 (/ (* (sqrt 2) (+ (* -1 (pow a2 2)) (pow a2 2))) a1))) a1))) (pow a1 2))>
#<alt (/ (+ (sqrt 2) (* -1 (/ (+ (* -1 (* (sqrt 2) (+ a2 (* -1 a2)))) (* -1 (/ (+ (* -1 (- (* (pow a2 2) (sqrt 2)) (* -1 (* (sqrt 2) (+ (* -1 (pow a2 2)) (pow a2 2)))))) (* -1 (/ (* (sqrt 2) (* (+ a2 (* -1 a2)) (+ (* -1 (pow a2 2)) (pow a2 2)))) a1))) a1))) a1))) (pow a1 2))>
#<alt (/ (sqrt 2) (pow a1 2))>
#<alt (+ (/ (sqrt 2) (pow a1 2)) (/ (* a2 (* (sqrt 2) (+ a1 (* -1 a1)))) (pow a1 4)))>
#<alt (+ (* a2 (+ (* a2 (- (* -1 (/ (sqrt 2) (pow a1 4))) (/ (* (sqrt 2) (+ (* -1 (pow a1 2)) (pow a1 2))) (pow a1 6)))) (/ (* (sqrt 2) (+ a1 (* -1 a1))) (pow a1 4)))) (/ (sqrt 2) (pow a1 2)))>
#<alt (+ (* a2 (+ (* a2 (- (+ (* -1 (/ (sqrt 2) (pow a1 4))) (* -1 (/ (* a2 (* (sqrt 2) (* (+ a1 (* -1 a1)) (+ (* -1 (pow a1 2)) (pow a1 2))))) (pow a1 8)))) (/ (* (sqrt 2) (+ (* -1 (pow a1 2)) (pow a1 2))) (pow a1 6)))) (/ (* (sqrt 2) (+ a1 (* -1 a1))) (pow a1 4)))) (/ (sqrt 2) (pow a1 2)))>
#<alt (/ (sqrt 2) (pow a2 2))>
#<alt (/ (+ (sqrt 2) (* -1 (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2))) (pow a2 2))>
#<alt (/ (- (+ (sqrt 2) (+ (* -1 (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2)) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))) (* -1 (/ (* (sqrt 2) (+ (* -1 (pow a1 2)) (pow a1 2))) (pow a2 2)))) (pow a2 2))>
#<alt (/ (- (+ (sqrt 2) (+ (* -1 (/ (* (sqrt 2) (* (+ a1 (* -1 a1)) (+ (* -1 (pow a1 2)) (pow a1 2)))) (pow a2 3))) (+ (* -1 (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2)) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))) (* -1 (/ (* (sqrt 2) (+ (* -1 (pow a1 2)) (pow a1 2))) (pow a2 2)))) (pow a2 2))>
#<alt (/ (sqrt 2) (pow a2 2))>
#<alt (/ (+ (sqrt 2) (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2)) (pow a2 2))>
#<alt (/ (+ (sqrt 2) (* -1 (/ (+ (* -1 (* (sqrt 2) (+ a1 (* -1 a1)))) (* -1 (/ (- (* -1 (* (pow a1 2) (sqrt 2))) (* -1 (* (sqrt 2) (+ (* -1 (pow a1 2)) (pow a1 2))))) a2))) a2))) (pow a2 2))>
#<alt (/ (+ (sqrt 2) (* -1 (/ (+ (* -1 (* (sqrt 2) (+ a1 (* -1 a1)))) (* -1 (/ (- (+ (* -1 (* (pow a1 2) (sqrt 2))) (/ (* (sqrt 2) (* (+ a1 (* -1 a1)) (+ (* -1 (pow a1 2)) (pow a1 2)))) a2)) (* -1 (* (sqrt 2) (+ (* -1 (pow a1 2)) (pow a1 2))))) a2))) a2))) (pow a2 2))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* 1/2 (* (pow th 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))>
#<alt (+ (sqrt 2) (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (sqrt 2)) (+ (* 1/48 (sqrt 2)) (* 1/2 (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2)))))))) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow th 2)))>
#<alt (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))>
#<alt (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (* -1 (pow a2 2))>
#<alt (- (pow a1 2) (pow a2 2))>
#<alt (- (pow a1 2) (pow a2 2))>
#<alt (- (pow a1 2) (pow a2 2))>
#<alt (pow a1 2)>
#<alt (* (pow a1 2) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))>
#<alt (pow a1 2)>
#<alt (* (pow a1 2) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))>
#<alt (pow a1 2)>
#<alt (+ (* -1 (pow a2 2)) (pow a1 2))>
#<alt (+ (* -1 (pow a2 2)) (pow a1 2))>
#<alt (+ (* -1 (pow a2 2)) (pow a1 2))>
#<alt (* -1 (pow a2 2))>
#<alt (* (pow a2 2) (- (/ (pow a1 2) (pow a2 2)) 1))>
#<alt (* (pow a2 2) (- (/ (pow a1 2) (pow a2 2)) 1))>
#<alt (* (pow a2 2) (- (/ (pow a1 2) (pow a2 2)) 1))>
#<alt (* -1 (pow a2 2))>
#<alt (* (pow a2 2) (- (/ (pow a1 2) (pow a2 2)) 1))>
#<alt (* (pow a2 2) (- (/ (pow a1 2) (pow a2 2)) 1))>
#<alt (* (pow a2 2) (- (/ (pow a1 2) (pow a2 2)) 1))>
#<alt (/ -1 (pow a2 2))>
#<alt (- (* -1 (/ (pow a1 2) (pow a2 4))) (/ 1 (pow a2 2)))>
#<alt (- (* (pow a1 2) (- (* -1 (/ (pow a1 2) (pow a2 6))) (/ 1 (pow a2 4)))) (/ 1 (pow a2 2)))>
#<alt (- (* (pow a1 2) (- (* (pow a1 2) (- (* -1 (/ (pow a1 2) (pow a2 8))) (/ 1 (pow a2 6)))) (/ 1 (pow a2 4)))) (/ 1 (pow a2 2)))>
#<alt (/ 1 (pow a1 2))>
#<alt (/ (+ 1 (* -1 (/ (+ a2 (* -1 a2)) a1))) (pow a1 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow a2 2)) (* -1 (pow (+ a2 (* -1 a2)) 2))) (pow a1 2)))) (+ (* -1 (/ a2 a1)) (/ a2 a1))) (pow a1 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ a2 (* -1 a2)) (+ (* -1 (pow a2 2)) (* -1 (pow (+ a2 (* -1 a2)) 2))))) (* (pow a2 2) (+ a2 (* -1 a2)))) (pow a1 3)))) (+ (* -1 (/ a2 a1)) (+ (* -1 (/ (pow a2 2) (pow a1 2))) (+ (* -1 (/ (pow (+ a2 (* -1 a2)) 2) (pow a1 2))) (/ a2 a1))))) (pow a1 2))>
#<alt (/ 1 (pow a1 2))>
#<alt (/ (+ 1 (* -1 (/ (+ a2 (* -1 a2)) a1))) (pow a1 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow a2 2) a1)) (* -1 (/ (pow (+ a2 (* -1 a2)) 2) a1))) (* -1 (+ a2 (* -1 a2)))) a1))) (pow a1 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow a2 2) (+ a2 (* -1 a2))) a1)) (/ (* (+ a2 (* -1 a2)) (+ (* -1 (pow a2 2)) (* -1 (pow (+ a2 (* -1 a2)) 2)))) a1)) (+ (* -1 (pow a2 2)) (* -1 (pow (+ a2 (* -1 a2)) 2)))) a1)) (* -1 (+ a2 (* -1 a2)))) a1))) (pow a1 2))>
#<alt (/ 1 (pow a1 2))>
#<alt (+ (/ 1 (pow a1 2)) (/ (pow a2 2) (pow a1 4)))>
#<alt (+ (* (pow a2 2) (+ (/ 1 (pow a1 4)) (/ (pow a2 2) (pow a1 6)))) (/ 1 (pow a1 2)))>
#<alt (+ (* (pow a2 2) (+ (* (pow a2 2) (+ (/ 1 (pow a1 6)) (/ (pow a2 2) (pow a1 8)))) (/ 1 (pow a1 4)))) (/ 1 (pow a1 2)))>
#<alt (/ -1 (pow a2 2))>
#<alt (/ (- (* -1 (/ (+ a1 (* -1 a1)) a2)) 1) (pow a2 2))>
#<alt (/ (- (* -1 (/ (+ (pow a1 2) (pow (+ a1 (* -1 a1)) 2)) (pow a2 2))) (+ 1 (+ (* -1 (/ a1 a2)) (/ a1 a2)))) (pow a2 2))>
#<alt (/ (- (* -1 (/ (+ (* (+ a1 (* -1 a1)) (+ (pow a1 2) (pow (+ a1 (* -1 a1)) 2))) (* (pow a1 2) (+ a1 (* -1 a1)))) (pow a2 3))) (+ 1 (+ (* -1 (/ a1 a2)) (+ (/ a1 a2) (+ (/ (pow a1 2) (pow a2 2)) (/ (pow (+ a1 (* -1 a1)) 2) (pow a2 2))))))) (pow a2 2))>
#<alt (/ -1 (pow a2 2))>
#<alt (/ (- (+ (* -1 (/ a1 a2)) (/ a1 a2)) 1) (pow a2 2))>
#<alt (/ (- (* -1 (/ (- (+ (/ (pow a1 2) a2) (/ (pow (+ a1 (* -1 a1)) 2) a2)) (+ a1 (* -1 a1))) a2)) 1) (pow a2 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ a1 (* -1 a1)) (+ (pow a1 2) (pow (+ a1 (* -1 a1)) 2))) a2) (/ (* (pow a1 2) (+ a1 (* -1 a1))) a2)) (+ (pow a1 2) (pow (+ a1 (* -1 a1)) 2))) a2)) (+ a1 (* -1 a1))) a2)) 1) (pow a2 2))>

Calls

90 calls:

Time	Variable		Point	Expression
15.0ms	a2	@	0	(/ a2 (sqrt 2))
6.0ms	a2	@	-inf	(/ a2 (sqrt 2))
2.0ms	a2	@	inf	(/ 1 (/ (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (/ (/ 1 (+ a1 a2)) (- a1 a2))))))
2.0ms	a2	@	0	(* (+ (* a1 a1) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (/ (/ 1 (+ a1 a2)) (- a1 a2))))
1.0ms	a1	@	0	(/ 1 (/ (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (/ (/ 1 (+ a1 a2)) (- a1 a2))))))

rewrite449.0ms (3.9%)

Memory

18.4MiB live, 841.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 628×	`accelerator-lowering-fma.f32`
4 628×	`accelerator-lowering-fma.f64`
4 512×	`-lowering-.f32`
4 512×	`-lowering-.f64`
3 340×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	150
1	174	136
2	1434	130
0	9093	122

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 1 885

Calls

Call 1

Inputs
(/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) (cos th)))
(+ (* a1 a1) (* a2 a2))
(* a1 a1)
(* a2 a2)
(* (/ a2 (sqrt 2)) a2)
(/ a2 (sqrt 2))
(sqrt 2)
(/ (* a2 a2) (/ 1 (pow 2 -1/2)))
(/ 1 (pow 2 -1/2))
(pow 2 -1/2)
(/ 1 (/ 1 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))))
(/ 1 (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))
(/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))
(* (- (* a1 a1) (* a2 a2)) (/ (/ 1 (+ a1 a2)) (- a1 a2)))
(/ 1 (/ (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (/ (/ 1 (+ a1 a2)) (- a1 a2))))))
(* (+ (* a1 a1) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (/ (/ 1 (+ a1 a2)) (- a1 a2))))
(/ (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (/ (/ 1 (+ a1 a2)) (- a1 a2)))))
(/ (sqrt 2) (cos th))
(cos th)
(- (* a1 a1) (* a2 a2))
(/ (/ 1 (+ a1 a2)) (- a1 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 (.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 (.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 #s(literal 1 binary64) (*.f64 a1 a1))))
(+.f64 (.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 (.f64 a1 a1) #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (.f64 a1 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) #s(literal 1 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(+.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1 binary64) (*.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 (.f64 a1 a1) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 #s(literal 1 binary64) (.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 (.f64 a1 a1) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(-.f64 (/.f64 (/.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 th)))) (neg.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (.f64 a1 a1)))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (.f64 a1 a1)))))
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(+.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 a1 (.f64 a1 (*.f64 a1 a1)))))
(+.f64 (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)) (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)) (-.f64 #s(literal 0 binary64) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(+.f64 (.f64 (/.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(+.f64 (.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))))
(+.f64 (.f64 (.f64 (-.f64 a1 a2) a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (.f64 (.f64 (-.f64 a1 a2) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))))
(+.f64 (.f64 (.f64 (-.f64 a1 a2) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (.f64 (.f64 (-.f64 a1 a2) a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))))
(+.f64 (.f64 (.f64 (+.f64 a1 a2) a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (.f64 (neg.f64 (.f64 (+.f64 a1 a2) a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))))
(+.f64 (.f64 (.f64 a1 (-.f64 a1 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (.f64 (.f64 a2 (-.f64 a1 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))))
(+.f64 (.f64 (.f64 a2 (-.f64 a1 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (.f64 (.f64 a1 (-.f64 a1 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))))
(+.f64 (.f64 (.f64 a1 (+.f64 a1 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (.f64 (neg.f64 (.f64 a2 (+.f64 a1 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))))
(+.f64 (.f64 a1 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 a1 a2))) (.f64 (-.f64 #s(literal 0 binary64) a2) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 a1 a2))))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) a2) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 a1 a2))) (.f64 a1 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 a1 a2))))
(+.f64 (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (.f64 (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))))))
(+.f64 (.f64 (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (.f64 a1 a1))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (.f64 a1 a1))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (.f64 a1 a1))))
(fma.f64 a1 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 a1 a2)) (.f64 (-.f64 #s(literal 0 binary64) a2) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (-.f64 a1 a2))))
(fma.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)) (.f64 a1 a1)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)) (-.f64 #s(literal 0 binary64) (*.f64 a2 a2)))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))))
(fma.f64 (-.f64 #s(literal 0 binary64) a2) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 a1 a2)) (.f64 a1 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (-.f64 a1 a2))))
(fma.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))))
(fma.f64 (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))))
(fma.f64 (.f64 a1 (+.f64 a1 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (neg.f64 (.f64 a2 (+.f64 a1 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))))
(fma.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)) (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)) (-.f64 #s(literal 0 binary64) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(fma.f64 (.f64 (-.f64 a1 a2) a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (.f64 (-.f64 a1 a2) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))))
(fma.f64 (.f64 (-.f64 a1 a2) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (.f64 (-.f64 a1 a2) a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))))
(fma.f64 (.f64 (+.f64 a1 a2) a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (neg.f64 (.f64 (+.f64 a1 a2) a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))))
(fma.f64 (/.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(fma.f64 (.f64 a1 (-.f64 a1 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (.f64 a2 (-.f64 a1 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))))
(fma.f64 (.f64 a2 (-.f64 a1 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (.f64 a1 (-.f64 a1 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 a1 a1) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (-.f64 #s(literal 0 binary64) (*.f64 a2 a2))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (*.f64 a1 a1)))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 a1 (+.f64 a1 a2)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (neg.f64 (*.f64 a2 (+.f64 a1 a2)))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (-.f64 a1 a2) a1) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (*.f64 (-.f64 a1 a2) a2)))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (-.f64 a1 a2) a2) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (*.f64 (-.f64 a1 a2) a1)))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (+.f64 a1 a2) a1) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (neg.f64 (*.f64 (+.f64 a1 a2) a2))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 a1 (-.f64 a1 a2)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (*.f64 a2 (-.f64 a1 a2))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 a2 (-.f64 a1 a2)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (*.f64 a1 (-.f64 a1 a2))))
(fma.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 a1 a2)) a1 (.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (-.f64 a1 a2)) (-.f64 #s(literal 0 binary64) a2)))
(fma.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 a1 a2)) (-.f64 #s(literal 0 binary64) a2) (.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (-.f64 a1 a2)) a1))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))
(neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (.f64 a1 a1))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
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(+.f64 (.f64 (.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))))))
(+.f64 (.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (.f64 (.f64 a1 (.f64 a1 (.f64 a2 a2))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))) #s(literal -1 binary64)))
(-.f64 (.f64 a1 a1) (-.f64 #s(literal 0 binary64) (.f64 a2 a2)))
(-.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (.f64 a1 a1)))
(-.f64 (/.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))
(-.f64 (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))
(-.f64 (/.f64 (/.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) #s(literal 1 binary64)))
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 (.f64 a1 a1) #s(literal 1 binary64) (.f64 a2 a2))
(fma.f64 (.f64 a1 a1) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 a2 a2 (.f64 #s(literal 1 binary64) (.f64 a1 a1)))
(fma.f64 a2 a2 (/.f64 (*.f64 a1 a1) #s(literal 1 binary64)))
(fma.f64 a2 a2 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a1 a1))))
(fma.f64 a2 a2 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (*.f64 a1 a1))))
(fma.f64 a2 a2 (.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) #s(literal 1 binary64))))
(fma.f64 a2 a2 (.f64 (.f64 #s(literal 1 binary64) (*.f64 a1 a1)) #s(literal 1 binary64)))
(fma.f64 a2 a2 (.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 a2 a2) #s(literal 1 binary64) (.f64 a1 a1))
(fma.f64 (.f64 a2 a2) #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (*.f64 a1 a1)))
(fma.f64 (.f64 a2 a2) #s(literal 1 binary64) (/.f64 (.f64 a1 a1) #s(literal 1 binary64)))
(fma.f64 (.f64 a2 a2) #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 a1 a1))))
(fma.f64 (.f64 a2 a2) #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 a1 a1))))
(fma.f64 (.f64 a2 a2) #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) #s(literal 1 binary64))))
(fma.f64 (.f64 a2 a2) #s(literal 1 binary64) (.f64 (.f64 #s(literal 1 binary64) (.f64 a1 a1)) #s(literal 1 binary64)))
(fma.f64 (.f64 a2 a2) #s(literal 1 binary64) (.f64 (/.f64 (*.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)) (.f64 a1 a1)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)) (-.f64 #s(literal 0 binary64) (*.f64 a2 a2)))))
(fma.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(fma.f64 #s(literal 1 binary64) (.f64 a1 a1) (.f64 a2 a2))
(fma.f64 #s(literal 1 binary64) (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 #s(literal 1 binary64) (.f64 a2 a2) (.f64 #s(literal 1 binary64) (*.f64 a1 a1)))
(fma.f64 #s(literal 1 binary64) (.f64 a2 a2) (/.f64 (.f64 a1 a1) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 a2 a2) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 a1 a1))))
(fma.f64 #s(literal 1 binary64) (.f64 a2 a2) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 a1 a1))))
(fma.f64 #s(literal 1 binary64) (.f64 a2 a2) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 a2 a2) (.f64 (.f64 #s(literal 1 binary64) (.f64 a1 a1)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 a2 a2) (.f64 (/.f64 (*.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 a1 a1)) (*.f64 a2 a2))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) (.f64 a2 a2))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)) (-.f64 #s(literal 0 binary64) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 a1 a1)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 #s(literal 0 binary64) (*.f64 a2 a2)))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)) (.f64 (.f64 a1 a1) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (.f64 a1 a1))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (.f64 #s(literal 1 binary64) (*.f64 a1 a1)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (/.f64 (.f64 a1 a1) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 a1 a1))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 a1 a1))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (.f64 (.f64 #s(literal 1 binary64) (.f64 a1 a1)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (.f64 (/.f64 (*.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) #s(literal -1 binary64) (.f64 a1 a1))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) #s(literal -1 binary64) (.f64 #s(literal 1 binary64) (*.f64 a1 a1)))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) #s(literal -1 binary64) (/.f64 (.f64 a1 a1) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 a1 a1))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) #s(literal -1 binary64) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 a1 a1))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) #s(literal -1 binary64) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) #s(literal -1 binary64) (.f64 (.f64 #s(literal 1 binary64) (.f64 a1 a1)) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) #s(literal -1 binary64) (.f64 (/.f64 (*.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (.f64 a1 a1) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(fma.f64 (-.f64 #s(literal 0 binary64) a2) (-.f64 #s(literal 0 binary64) a2) (*.f64 a1 a1))
(fma.f64 (-.f64 #s(literal 0 binary64) a2) (-.f64 #s(literal 0 binary64) a2) (.f64 #s(literal 1 binary64) (.f64 a1 a1)))
(fma.f64 (-.f64 #s(literal 0 binary64) a2) (-.f64 #s(literal 0 binary64) a2) (/.f64 (*.f64 a1 a1) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) a2) (-.f64 #s(literal 0 binary64) a2) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a1 a1))))
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(fma.f64 (-.f64 #s(literal 0 binary64) a2) (-.f64 #s(literal 0 binary64) a2) (.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) #s(literal 1 binary64))))
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(fma.f64 (-.f64 #s(literal 0 binary64) a2) (-.f64 #s(literal 0 binary64) a2) (.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64)))
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(fma.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))
(fma.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))))
(fma.f64 (.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))))
(fma.f64 (.f64 a1 (+.f64 a1 a2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (neg.f64 (.f64 a2 (+.f64 a1 a2))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(fma.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (.f64 a1 (.f64 a1 (.f64 a2 a2))) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))))
(fma.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)) (.f64 a1 a1)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)) (-.f64 #s(literal 0 binary64) (.f64 a2 a2))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(fma.f64 (.f64 (-.f64 a1 a2) a1) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (.f64 (-.f64 a1 a2) a2) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(fma.f64 (.f64 (-.f64 a1 a2) a2) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (.f64 (-.f64 a1 a2) a1) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 a1 a1)) #s(literal 1 binary64) (*.f64 a2 a2))
(fma.f64 (.f64 (+.f64 a1 a2) a1) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (neg.f64 (.f64 (+.f64 a1 a2) a2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(fma.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 a1 a1)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)) (.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 #s(literal 0 binary64) (*.f64 a2 a2))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))
(fma.f64 (/.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(fma.f64 (.f64 a1 (-.f64 a1 a2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (.f64 a2 (-.f64 a1 a2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(fma.f64 (.f64 a2 (-.f64 a1 a2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (.f64 a1 (-.f64 a1 a2)) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(fma.f64 (/.f64 (.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 a2 a2))
(fma.f64 (.f64 (.f64 a1 a1) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))
(fma.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 a1 a1) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 #s(literal 0 binary64) (*.f64 a2 a2))))
(fma.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (*.f64 a1 a1)))
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(exp.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
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(+.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2))))) (.f64 (.f64 a1 a2) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (*.f64 a2 a2))))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 a2 a1)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))
(-.f64 (/.f64 (/.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (/.f64 (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))))
(fma.f64 a1 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 a2 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(fma.f64 (.f64 a1 a1) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2)))) (.f64 (.f64 a2 (+.f64 a1 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (*.f64 a2 a2))))))
(fma.f64 a2 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 a1 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(fma.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2)))) (.f64 (.f64 a1 a2) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2))))))
(fma.f64 (.f64 a2 (+.f64 a1 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2)))) (.f64 (.f64 a1 a1) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (*.f64 a2 a2))))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) a1 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))) a2))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) a2 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))) a1))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2)))) (.f64 a1 a1) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2)))) (*.f64 a2 (+.f64 a1 a2))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2)))) (.f64 a1 a2)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2)))) (.f64 a2 (+.f64 a1 a2)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2)))) (*.f64 a1 a1)))
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))
(/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 a1 a2)) (/.f64 #s(literal 1 binary64) (-.f64 a2 a1))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))
(/.f64 #s(literal -1 binary64) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (.f64 a1 a1)) (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 a1 a2)) (-.f64 a2 a1))
(/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 a1 a2)) (+.f64 a1 a2))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2))))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 a2 a1)) (-.f64 #s(literal 0 binary64) (+.f64 a1 a2)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)))
(pow.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (/.f64 #s(literal 1 binary64) (-.f64 a1 a2)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 a1 a2)) (/.f64 #s(literal 1 binary64) (-.f64 a2 a1)))
(.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a1 a2)) (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a2 a1)) (/.f64 #s(literal -1 binary64) (+.f64 a1 a2)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))) (+.f64 a1 a2))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (*.f64 a2 (+.f64 a1 a2))))
(.f64 (pow.f64 (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(.f64 (pow.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) #s(literal -1/2 binary64)))

simplify468.0ms (4.1%)

Memory

-15.8MiB live, 731.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 694×	`accelerator-lowering-fma.f32`
9 694×	`accelerator-lowering-fma.f64`
3 976×	`-lowering-.f32`
3 976×	`-lowering-.f64`
3 724×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	837	6139
1	2767	4820
0	10109	4642

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

Inputs
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (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))))
(+ (* (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))))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(pow a1 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(pow a2 2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(pow a2 2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a2 2)
(pow a2 2)
(pow a2 2)
(pow a2 2)
(pow a2 2)
(pow a2 2)
(pow a2 2)
(pow a2 2)
(pow a2 2)
(pow a2 2)
(pow a2 2)
(pow a2 2)
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(* (pow a2 2) (sqrt 1/2))
(* (pow a2 2) (sqrt 1/2))
(* (pow a2 2) (sqrt 1/2))
(* (pow a2 2) (sqrt 1/2))
(* (pow a2 2) (sqrt 1/2))
(* (pow a2 2) (sqrt 1/2))
(* (pow a2 2) (sqrt 1/2))
(* (pow a2 2) (sqrt 1/2))
(* (pow a2 2) (sqrt 1/2))
(* (pow a2 2) (sqrt 1/2))
(* (pow a2 2) (sqrt 1/2))
(* (pow a2 2) (sqrt 1/2))
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ (pow a1 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(/ (sqrt 2) (pow a2 2))
(+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 4))) (/ (sqrt 2) (pow a2 2)))
(+ (* (pow a1 2) (- (/ (* (pow a1 2) (sqrt 2)) (pow a2 6)) (/ (sqrt 2) (pow a2 4)))) (/ (sqrt 2) (pow a2 2)))
(+ (* (pow a1 2) (- (* (pow a1 2) (- (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 8))) (* -1 (/ (sqrt 2) (pow a2 6))))) (/ (sqrt 2) (pow a2 4)))) (/ (sqrt 2) (pow a2 2)))
(/ (sqrt 2) (pow a1 2))
(/ (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))
(/ (- (+ (sqrt 2) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (pow a1 2))
(/ (- (+ (sqrt 2) (* -1 (/ (* (pow a2 6) (sqrt 2)) (pow a1 6)))) (+ (* -1 (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))
(/ (sqrt 2) (pow a1 2))
(/ (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))
(/ (- (+ (sqrt 2) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (pow a1 2))
(/ (- (+ (sqrt 2) (* -1 (/ (* (pow a2 6) (sqrt 2)) (pow a1 6)))) (+ (* -1 (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))
(/ (sqrt 2) (pow a1 2))
(+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 4))) (/ (sqrt 2) (pow a1 2)))
(+ (* (pow a2 2) (- (/ (* (pow a2 2) (sqrt 2)) (pow a1 6)) (/ (sqrt 2) (pow a1 4)))) (/ (sqrt 2) (pow a1 2)))
(+ (* (pow a2 2) (- (* (pow a2 2) (- (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 8))) (* -1 (/ (sqrt 2) (pow a1 6))))) (/ (sqrt 2) (pow a1 4)))) (/ (sqrt 2) (pow a1 2)))
(/ (sqrt 2) (pow a2 2))
(/ (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2))
(/ (- (+ (sqrt 2) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (pow a2 2))
(/ (- (+ (sqrt 2) (* -1 (/ (* (pow a1 6) (sqrt 2)) (pow a2 6)))) (+ (* -1 (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2))
(/ (sqrt 2) (pow a2 2))
(/ (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2))
(/ (- (+ (sqrt 2) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (pow a2 2))
(/ (- (+ (sqrt 2) (* -1 (/ (* (pow a1 6) (sqrt 2)) (pow a2 6)))) (+ (* -1 (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2))
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ (pow a1 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
1
(+ 1 (/ (* a1 (+ a2 (* -1 a2))) (pow a2 2)))
(+ 1 (* a1 (- (/ (* a1 (pow (+ a2 (* -1 a2)) 2)) (pow a2 4)) (* -1 (/ (+ a2 (* -1 a2)) (pow a2 2))))))
(+ 1 (* a1 (- (* a1 (- (* -1 (* a1 (+ (* -1 (/ (+ a2 (* -1 a2)) (pow a2 4))) (* -1 (/ (pow (+ a2 (* -1 a2)) 3) (pow a2 6)))))) (* -1 (/ (pow (+ a2 (* -1 a2)) 2) (pow a2 4))))) (* -1 (/ (+ a2 (* -1 a2)) (pow a2 2))))))
1
(+ 1 (* -1 (/ (+ a2 (* -1 a2)) a1)))
(- (+ 1 (/ (pow (+ a2 (* -1 a2)) 2) (pow a1 2))) (+ (* -1 (/ a2 a1)) (/ a2 a1)))
(- (+ 1 (* -1 (/ (+ (* (pow a2 2) (+ a2 (* -1 a2))) (pow (+ a2 (* -1 a2)) 3)) (pow a1 3)))) (+ (* -1 (/ a2 a1)) (+ (* -1 (/ (pow (+ a2 (* -1 a2)) 2) (pow a1 2))) (/ a2 a1))))
1
(+ 1 (* -1 (/ (+ a2 (* -1 a2)) a1)))
(+ 1 (* -1 (/ (+ a2 (+ (* -1 a2) (* -1 (/ (pow (+ a2 (* -1 a2)) 2) a1)))) a1)))
(+ 1 (* -1 (/ (+ a2 (+ (* -1 a2) (* -1 (/ (+ (* -1 (/ (+ (* (pow a2 2) (+ a2 (* -1 a2))) (pow (+ a2 (* -1 a2)) 3)) a1)) (pow (+ a2 (* -1 a2)) 2)) a1)))) a1)))
1
1
1
1
1
(+ 1 (+ (* -1 (/ a1 a2)) (/ a1 a2)))
(- (+ 1 (/ (pow (+ a1 (* -1 a1)) 2) (pow a2 2))) (* -1 (/ (+ a1 (* -1 a1)) a2)))
(- (+ 1 (* -1 (/ (+ (* -1 (* (pow a1 2) (+ a1 (* -1 a1)))) (* -1 (pow (+ a1 (* -1 a1)) 3))) (pow a2 3)))) (+ (* -1 (/ (+ a1 (* -1 a1)) a2)) (* -1 (/ (pow (+ a1 (* -1 a1)) 2) (pow a2 2)))))
1
(+ 1 (* -1 (/ (+ a1 (* -1 a1)) a2)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ a1 (* -1 a1)) 2) a2)) (* -1 (+ a1 (* -1 a1)))) a2)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow a1 2) (+ a1 (* -1 a1))) a2)) (* -1 (/ (pow (+ a1 (* -1 a1)) 3) a2))) (* -1 (pow (+ a1 (* -1 a1)) 2))) a2)) (* -1 (+ a1 (* -1 a1)))) a2)))
(/ (pow a2 2) (sqrt 2))
(+ (/ (* a1 (+ a2 (* -1 a2))) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (* a1 (- (* a1 (- (+ (* -1 (/ (+ (* -1 (pow a2 2)) (pow a2 2)) (* (pow a2 2) (sqrt 2)))) (/ 1 (sqrt 2))) (* -1 (/ (pow (+ a2 (* -1 a2)) 2) (* (pow a2 2) (sqrt 2)))))) (* -1 (/ (+ a2 (* -1 a2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))
(+ (* a1 (- (* a1 (- (+ (* -1 (* a1 (+ (* -1 (/ (* (+ a2 (* -1 a2)) (- (+ (* -1 (/ (+ (* -1 (pow a2 2)) (pow a2 2)) (* (pow a2 2) (sqrt 2)))) (/ 1 (sqrt 2))) (* -1 (/ (pow (+ a2 (* -1 a2)) 2) (* (pow a2 2) (sqrt 2)))))) (pow a2 2))) (* -1 (/ (+ a2 (* -1 a2)) (* (pow a2 2) (sqrt 2))))))) (+ (* -1 (/ (+ (* -1 (pow a2 2)) (pow a2 2)) (* (pow a2 2) (sqrt 2)))) (/ 1 (sqrt 2)))) (* -1 (/ (pow (+ a2 (* -1 a2)) 2) (* (pow a2 2) (sqrt 2)))))) (* -1 (/ (+ a2 (* -1 a2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (* -1 (/ (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2))) a1)) (/ 1 (sqrt 2))))
(* (pow a1 2) (- (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (+ (* -1 (/ a2 (* a1 (sqrt 2)))) (+ (* -1 (/ (* (+ a2 (* -1 a2)) (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2)))) (pow a1 2))) (/ a2 (* a1 (sqrt 2)))))))
(* (pow a1 2) (- (+ (* -1 (/ (+ (* (+ a2 (* -1 a2)) (- (/ (pow a2 2) (sqrt 2)) (* -1 (* (+ a2 (* -1 a2)) (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2))))))) (* (pow a2 2) (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2))))) (pow a1 3))) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))) (+ (* -1 (/ a2 (* a1 (sqrt 2)))) (+ (* -1 (/ (* (+ a2 (* -1 a2)) (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2)))) (pow a1 2))) (/ a2 (* a1 (sqrt 2)))))))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (* -1 (/ (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2))) a1)) (/ 1 (sqrt 2))))
(* (pow a1 2) (+ (* -1 (/ (- (+ (* -1 (/ a2 (sqrt 2))) (+ (* -1 (/ (+ (* -1 (pow a2 2)) (pow a2 2)) (* a1 (sqrt 2)))) (/ a2 (sqrt 2)))) (+ (/ (* (+ a2 (* -1 a2)) (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2)))) a1) (/ (pow a2 2) (* a1 (sqrt 2))))) a1)) (/ 1 (sqrt 2))))
(* (pow a1 2) (+ (* -1 (/ (+ (* -1 (/ a2 (sqrt 2))) (+ (* -1 (/ (+ (* -1 (- (* -1 (/ (+ (* -1 (pow a2 2)) (pow a2 2)) (sqrt 2))) (+ (* (+ a2 (* -1 a2)) (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2)))) (/ (pow a2 2) (sqrt 2))))) (* -1 (/ (+ (* -1 (* (+ a2 (* -1 a2)) (- (* -1 (/ (+ (* -1 (pow a2 2)) (pow a2 2)) (sqrt 2))) (+ (* (+ a2 (* -1 a2)) (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2)))) (/ (pow a2 2) (sqrt 2)))))) (* (pow a2 2) (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2))))) a1))) a1)) (/ a2 (sqrt 2)))) a1)) (/ 1 (sqrt 2))))
(/ (pow a1 2) (sqrt 2))
(+ (* -1 (* a2 (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2))))) (/ (pow a1 2) (sqrt 2)))
(+ (* a2 (- (* a2 (- (/ 1 (sqrt 2)) (* -1 (/ (* (+ a1 (* -1 a1)) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)))) (pow a1 2))))) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2))))) (/ (pow a1 2) (sqrt 2)))
(+ (* a2 (- (* a2 (- (+ (* -1 (/ (* a2 (* (+ a1 (* -1 a1)) (- (/ 1 (sqrt 2)) (* -1 (/ (* (+ a1 (* -1 a1)) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)))) (pow a1 2)))))) (pow a1 2))) (/ 1 (sqrt 2))) (* -1 (/ (* (+ a1 (* -1 a1)) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)))) (pow a1 2))))) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2))))) (/ (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (* -1 (/ a1 (* a2 (sqrt 2)))) (+ (/ 1 (sqrt 2)) (/ a1 (* a2 (sqrt 2))))))
(* (pow a2 2) (- (+ (* -1 (/ (+ (* -1 (pow a1 2)) (pow a1 2)) (* (pow a2 2) (sqrt 2)))) (/ 1 (sqrt 2))) (+ (* -1 (/ (+ a1 (* -1 a1)) (* a2 (sqrt 2)))) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (* -1 (/ (pow (+ a1 (* -1 a1)) 2) (* (pow a2 2) (sqrt 2))))))))
(* (pow a2 2) (- (+ (* -1 (/ (+ (* -1 (* (+ a1 (* -1 a1)) (- (* -1 (/ (+ (* -1 (pow a1 2)) (pow a1 2)) (sqrt 2))) (+ (* -1 (/ (pow a1 2) (sqrt 2))) (* -1 (/ (pow (+ a1 (* -1 a1)) 2) (sqrt 2))))))) (* -1 (/ (* (pow a1 2) (+ a1 (* -1 a1))) (sqrt 2)))) (pow a2 3))) (+ (* -1 (/ (+ (* -1 (pow a1 2)) (pow a1 2)) (* (pow a2 2) (sqrt 2)))) (/ 1 (sqrt 2)))) (+ (* -1 (/ (+ a1 (* -1 a1)) (* a2 (sqrt 2)))) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (* -1 (/ (pow (+ a1 (* -1 a1)) 2) (* (pow a2 2) (sqrt 2))))))))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (* -1 (/ (+ a1 (* -1 a1)) (* a2 (sqrt 2)))) (/ 1 (sqrt 2))))
(* (pow a2 2) (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (pow a1 2)) (pow a1 2)) (sqrt 2))) (+ (* -1 (/ (pow a1 2) (sqrt 2))) (* -1 (/ (pow (+ a1 (* -1 a1)) 2) (sqrt 2))))) a2)) (* -1 (/ (+ a1 (* -1 a1)) (sqrt 2)))) a2)) (/ 1 (sqrt 2))))
(* (pow a2 2) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ a1 (* -1 a1)) (- (* -1 (/ (+ (* -1 (pow a1 2)) (pow a1 2)) (sqrt 2))) (+ (* -1 (/ (pow a1 2) (sqrt 2))) (* -1 (/ (pow (+ a1 (* -1 a1)) 2) (sqrt 2)))))) a2)) (+ (* -1 (/ (* (pow a1 2) (+ a1 (* -1 a1))) (* a2 (sqrt 2)))) (* -1 (/ (+ (* -1 (pow a1 2)) (pow a1 2)) (sqrt 2))))) (+ (* -1 (/ (pow a1 2) (sqrt 2))) (* -1 (/ (pow (+ a1 (* -1 a1)) 2) (sqrt 2))))) a2)) (* -1 (/ (+ a1 (* -1 a1)) (sqrt 2)))) a2)) (/ 1 (sqrt 2))))
(pow a2 2)
(+ (* a1 (+ a2 (* -1 a2))) (pow a2 2))
(+ (* a1 (- (* a1 (- (+ 1 (* -1 (/ (+ (* -1 (pow a2 2)) (pow a2 2)) (pow a2 2)))) (* -1 (/ (pow (+ a2 (* -1 a2)) 2) (pow a2 2))))) (* -1 (+ a2 (* -1 a2))))) (pow a2 2))
(+ (* a1 (- (* a1 (- (+ 1 (+ (* -1 (* a1 (+ (* -1 (/ (* (+ a2 (* -1 a2)) (- (+ 1 (* -1 (/ (+ (* -1 (pow a2 2)) (pow a2 2)) (pow a2 2)))) (* -1 (/ (pow (+ a2 (* -1 a2)) 2) (pow a2 2))))) (pow a2 2))) (* -1 (/ (+ a2 (* -1 a2)) (pow a2 2)))))) (* -1 (/ (+ (* -1 (pow a2 2)) (pow a2 2)) (pow a2 2))))) (* -1 (/ (pow (+ a2 (* -1 a2)) 2) (pow a2 2))))) (* -1 (+ a2 (* -1 a2))))) (pow a2 2))
(pow a1 2)
(* (pow a1 2) (+ 1 (* -1 (/ (+ a2 (* -1 a2)) a1))))
(* (pow a1 2) (- (+ 1 (/ (pow a2 2) (pow a1 2))) (+ (* -1 (/ a2 a1)) (+ (* -1 (/ (pow (+ a2 (* -1 a2)) 2) (pow a1 2))) (/ a2 a1)))))
(* (pow a1 2) (- (+ 1 (+ (* -1 (/ (+ (* (+ a2 (* -1 a2)) (- (pow a2 2) (* -1 (pow (+ a2 (* -1 a2)) 2)))) (* (pow a2 2) (+ a2 (* -1 a2)))) (pow a1 3))) (/ (pow a2 2) (pow a1 2)))) (+ (* -1 (/ a2 a1)) (+ (* -1 (/ (pow (+ a2 (* -1 a2)) 2) (pow a1 2))) (/ a2 a1)))))
(pow a1 2)
(* (pow a1 2) (+ 1 (* -1 (/ (+ a2 (* -1 a2)) a1))))
(* (pow a1 2) (+ 1 (* -1 (/ (- (+ a2 (+ (* -1 a2) (* -1 (/ (+ (* -1 (pow a2 2)) (pow a2 2)) a1)))) (+ (/ (pow a2 2) a1) (/ (pow (+ a2 (* -1 a2)) 2) a1))) a1))))
(* (pow a1 2) (+ 1 (* -1 (/ (+ a2 (+ (* -1 a2) (* -1 (/ (+ (* -1 (- (* -1 (+ (* -1 (pow a2 2)) (pow a2 2))) (+ (pow a2 2) (pow (+ a2 (* -1 a2)) 2)))) (* -1 (/ (+ (* -1 (* (+ a2 (* -1 a2)) (- (* -1 (+ (* -1 (pow a2 2)) (pow a2 2))) (+ (pow a2 2) (pow (+ a2 (* -1 a2)) 2))))) (* (pow a2 2) (+ a2 (* -1 a2)))) a1))) a1)))) a1))))
(pow a1 2)
(+ (* -1 (* a2 (+ a1 (* -1 a1)))) (pow a1 2))
(+ (* a2 (- (* a2 (- 1 (* -1 (/ (pow (+ a1 (* -1 a1)) 2) (pow a1 2))))) (+ a1 (* -1 a1)))) (pow a1 2))
(+ (* a2 (- (* a2 (- (+ 1 (* -1 (/ (* a2 (* (+ a1 (* -1 a1)) (- 1 (* -1 (/ (pow (+ a1 (* -1 a1)) 2) (pow a1 2)))))) (pow a1 2)))) (* -1 (/ (pow (+ a1 (* -1 a1)) 2) (pow a1 2))))) (+ a1 (* -1 a1)))) (pow a1 2))
(pow a2 2)
(* (pow a2 2) (+ 1 (+ (* -1 (/ a1 a2)) (/ a1 a2))))
(* (pow a2 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow a1 2)) (pow a1 2)) (pow a2 2)))) (+ (* -1 (/ (+ a1 (* -1 a1)) a2)) (+ (* -1 (/ (pow a1 2) (pow a2 2))) (* -1 (/ (pow (+ a1 (* -1 a1)) 2) (pow a2 2)))))))
(* (pow a2 2) (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ a1 (* -1 a1)) (- (* -1 (+ (* -1 (pow a1 2)) (pow a1 2))) (+ (* -1 (pow a1 2)) (* -1 (pow (+ a1 (* -1 a1)) 2)))))) (* -1 (* (pow a1 2) (+ a1 (* -1 a1))))) (pow a2 3))) (* -1 (/ (+ (* -1 (pow a1 2)) (pow a1 2)) (pow a2 2))))) (+ (* -1 (/ (+ a1 (* -1 a1)) a2)) (+ (* -1 (/ (pow a1 2) (pow a2 2))) (* -1 (/ (pow (+ a1 (* -1 a1)) 2) (pow a2 2)))))))
(pow a2 2)
(* (pow a2 2) (+ 1 (* -1 (/ (+ a1 (* -1 a1)) a2))))
(* (pow a2 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (+ (* -1 (pow a1 2)) (pow a1 2))) (+ (* -1 (pow a1 2)) (* -1 (pow (+ a1 (* -1 a1)) 2)))) a2)) (* -1 (+ a1 (* -1 a1)))) a2))))
(* (pow a2 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (+ (* -1 (pow a1 2)) (pow a1 2))) (+ (* -1 (/ (* (+ a1 (* -1 a1)) (- (* -1 (+ (* -1 (pow a1 2)) (pow a1 2))) (+ (* -1 (pow a1 2)) (* -1 (pow (+ a1 (* -1 a1)) 2))))) a2)) (* -1 (/ (* (pow a1 2) (+ a1 (* -1 a1))) a2)))) (+ (* -1 (pow a1 2)) (* -1 (pow (+ a1 (* -1 a1)) 2)))) a2)) (* -1 (+ a1 (* -1 a1)))) a2))))
(/ (sqrt 2) (pow a2 2))
(+ (* -1 (/ (* a1 (* (sqrt 2) (+ a2 (* -1 a2)))) (pow a2 4))) (/ (sqrt 2) (pow a2 2)))
(+ (* a1 (+ (* -1 (/ (* (sqrt 2) (+ a2 (* -1 a2))) (pow a2 4))) (* a1 (- (* -1 (/ (sqrt 2) (pow a2 4))) (* -1 (/ (* (sqrt 2) (+ (* -1 (pow a2 2)) (pow a2 2))) (pow a2 6))))))) (/ (sqrt 2) (pow a2 2)))
(+ (* a1 (+ (* -1 (/ (* (sqrt 2) (+ a2 (* -1 a2))) (pow a2 4))) (* a1 (- (+ (* -1 (/ (sqrt 2) (pow a2 4))) (* -1 (/ (* a1 (* (sqrt 2) (* (+ a2 (* -1 a2)) (+ (* -1 (pow a2 2)) (pow a2 2))))) (pow a2 8)))) (* -1 (/ (* (sqrt 2) (+ (* -1 (pow a2 2)) (pow a2 2))) (pow a2 6))))))) (/ (sqrt 2) (pow a2 2)))
(/ (sqrt 2) (pow a1 2))
(/ (+ (sqrt 2) (/ (* (sqrt 2) (+ a2 (* -1 a2))) a1)) (pow a1 2))
(/ (- (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (sqrt 2) (+ a2 (* -1 a2))) a1))) (/ (* (sqrt 2) (+ (* -1 (pow a2 2)) (pow a2 2))) (pow a1 2))) (pow a1 2))
(/ (- (+ (sqrt 2) (+ (* -1 (/ (* (sqrt 2) (* (+ a2 (* -1 a2)) (+ (* -1 (pow a2 2)) (pow a2 2)))) (pow a1 3))) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (sqrt 2) (+ a2 (* -1 a2))) a1)))) (/ (* (sqrt 2) (+ (* -1 (pow a2 2)) (pow a2 2))) (pow a1 2))) (pow a1 2))
(/ (sqrt 2) (pow a1 2))
(/ (+ (sqrt 2) (/ (* (sqrt 2) (+ a2 (* -1 a2))) a1)) (pow a1 2))
(/ (+ (sqrt 2) (* -1 (/ (- (+ (* -1 (* (sqrt 2) (+ a2 (* -1 a2)))) (/ (* (pow a2 2) (sqrt 2)) a1)) (* -1 (/ (* (sqrt 2) (+ (* -1 (pow a2 2)) (pow a2 2))) a1))) a1))) (pow a1 2))
(/ (+ (sqrt 2) (* -1 (/ (+ (* -1 (* (sqrt 2) (+ a2 (* -1 a2)))) (* -1 (/ (+ (* -1 (- (* (pow a2 2) (sqrt 2)) (* -1 (* (sqrt 2) (+ (* -1 (pow a2 2)) (pow a2 2)))))) (* -1 (/ (* (sqrt 2) (* (+ a2 (* -1 a2)) (+ (* -1 (pow a2 2)) (pow a2 2)))) a1))) a1))) a1))) (pow a1 2))
(/ (sqrt 2) (pow a1 2))
(+ (/ (sqrt 2) (pow a1 2)) (/ (* a2 (* (sqrt 2) (+ a1 (* -1 a1)))) (pow a1 4)))
(+ (* a2 (+ (* a2 (- (* -1 (/ (sqrt 2) (pow a1 4))) (/ (* (sqrt 2) (+ (* -1 (pow a1 2)) (pow a1 2))) (pow a1 6)))) (/ (* (sqrt 2) (+ a1 (* -1 a1))) (pow a1 4)))) (/ (sqrt 2) (pow a1 2)))
(+ (* a2 (+ (* a2 (- (+ (* -1 (/ (sqrt 2) (pow a1 4))) (* -1 (/ (* a2 (* (sqrt 2) (* (+ a1 (* -1 a1)) (+ (* -1 (pow a1 2)) (pow a1 2))))) (pow a1 8)))) (/ (* (sqrt 2) (+ (* -1 (pow a1 2)) (pow a1 2))) (pow a1 6)))) (/ (* (sqrt 2) (+ a1 (* -1 a1))) (pow a1 4)))) (/ (sqrt 2) (pow a1 2)))
(/ (sqrt 2) (pow a2 2))
(/ (+ (sqrt 2) (* -1 (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2))) (pow a2 2))
(/ (- (+ (sqrt 2) (+ (* -1 (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2)) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))) (* -1 (/ (* (sqrt 2) (+ (* -1 (pow a1 2)) (pow a1 2))) (pow a2 2)))) (pow a2 2))
(/ (- (+ (sqrt 2) (+ (* -1 (/ (* (sqrt 2) (* (+ a1 (* -1 a1)) (+ (* -1 (pow a1 2)) (pow a1 2)))) (pow a2 3))) (+ (* -1 (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2)) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))) (* -1 (/ (* (sqrt 2) (+ (* -1 (pow a1 2)) (pow a1 2))) (pow a2 2)))) (pow a2 2))
(/ (sqrt 2) (pow a2 2))
(/ (+ (sqrt 2) (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2)) (pow a2 2))
(/ (+ (sqrt 2) (* -1 (/ (+ (* -1 (* (sqrt 2) (+ a1 (* -1 a1)))) (* -1 (/ (- (* -1 (* (pow a1 2) (sqrt 2))) (* -1 (* (sqrt 2) (+ (* -1 (pow a1 2)) (pow a1 2))))) a2))) a2))) (pow a2 2))
(/ (+ (sqrt 2) (* -1 (/ (+ (* -1 (* (sqrt 2) (+ a1 (* -1 a1)))) (* -1 (/ (- (+ (* -1 (* (pow a1 2) (sqrt 2))) (/ (* (sqrt 2) (* (+ a1 (* -1 a1)) (+ (* -1 (pow a1 2)) (pow a1 2)))) a2)) (* -1 (* (sqrt 2) (+ (* -1 (pow a1 2)) (pow a1 2))))) a2))) a2))) (pow a2 2))
(sqrt 2)
(+ (sqrt 2) (* 1/2 (* (pow th 2) (sqrt 2))))
(+ (sqrt 2) (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
(+ (sqrt 2) (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (sqrt 2)) (+ (* 1/48 (sqrt 2)) (* 1/2 (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2)))))))) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
1
(+ 1 (* -1/2 (pow th 2)))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(* -1 (pow a2 2))
(- (pow a1 2) (pow a2 2))
(- (pow a1 2) (pow a2 2))
(- (pow a1 2) (pow a2 2))
(pow a1 2)
(* (pow a1 2) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))
(* (pow a1 2) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))
(* (pow a1 2) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))
(pow a1 2)
(* (pow a1 2) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))
(* (pow a1 2) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))
(* (pow a1 2) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))
(pow a1 2)
(+ (* -1 (pow a2 2)) (pow a1 2))
(+ (* -1 (pow a2 2)) (pow a1 2))
(+ (* -1 (pow a2 2)) (pow a1 2))
(* -1 (pow a2 2))
(* (pow a2 2) (- (/ (pow a1 2) (pow a2 2)) 1))
(* (pow a2 2) (- (/ (pow a1 2) (pow a2 2)) 1))
(* (pow a2 2) (- (/ (pow a1 2) (pow a2 2)) 1))
(* -1 (pow a2 2))
(* (pow a2 2) (- (/ (pow a1 2) (pow a2 2)) 1))
(* (pow a2 2) (- (/ (pow a1 2) (pow a2 2)) 1))
(* (pow a2 2) (- (/ (pow a1 2) (pow a2 2)) 1))
(/ -1 (pow a2 2))
(- (* -1 (/ (pow a1 2) (pow a2 4))) (/ 1 (pow a2 2)))
(- (* (pow a1 2) (- (* -1 (/ (pow a1 2) (pow a2 6))) (/ 1 (pow a2 4)))) (/ 1 (pow a2 2)))
(- (* (pow a1 2) (- (* (pow a1 2) (- (* -1 (/ (pow a1 2) (pow a2 8))) (/ 1 (pow a2 6)))) (/ 1 (pow a2 4)))) (/ 1 (pow a2 2)))
(/ 1 (pow a1 2))
(/ (+ 1 (* -1 (/ (+ a2 (* -1 a2)) a1))) (pow a1 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow a2 2)) (* -1 (pow (+ a2 (* -1 a2)) 2))) (pow a1 2)))) (+ (* -1 (/ a2 a1)) (/ a2 a1))) (pow a1 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ a2 (* -1 a2)) (+ (* -1 (pow a2 2)) (* -1 (pow (+ a2 (* -1 a2)) 2))))) (* (pow a2 2) (+ a2 (* -1 a2)))) (pow a1 3)))) (+ (* -1 (/ a2 a1)) (+ (* -1 (/ (pow a2 2) (pow a1 2))) (+ (* -1 (/ (pow (+ a2 (* -1 a2)) 2) (pow a1 2))) (/ a2 a1))))) (pow a1 2))
(/ 1 (pow a1 2))
(/ (+ 1 (* -1 (/ (+ a2 (* -1 a2)) a1))) (pow a1 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow a2 2) a1)) (* -1 (/ (pow (+ a2 (* -1 a2)) 2) a1))) (* -1 (+ a2 (* -1 a2)))) a1))) (pow a1 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow a2 2) (+ a2 (* -1 a2))) a1)) (/ (* (+ a2 (* -1 a2)) (+ (* -1 (pow a2 2)) (* -1 (pow (+ a2 (* -1 a2)) 2)))) a1)) (+ (* -1 (pow a2 2)) (* -1 (pow (+ a2 (* -1 a2)) 2)))) a1)) (* -1 (+ a2 (* -1 a2)))) a1))) (pow a1 2))
(/ 1 (pow a1 2))
(+ (/ 1 (pow a1 2)) (/ (pow a2 2) (pow a1 4)))
(+ (* (pow a2 2) (+ (/ 1 (pow a1 4)) (/ (pow a2 2) (pow a1 6)))) (/ 1 (pow a1 2)))
(+ (* (pow a2 2) (+ (* (pow a2 2) (+ (/ 1 (pow a1 6)) (/ (pow a2 2) (pow a1 8)))) (/ 1 (pow a1 4)))) (/ 1 (pow a1 2)))
(/ -1 (pow a2 2))
(/ (- (* -1 (/ (+ a1 (* -1 a1)) a2)) 1) (pow a2 2))
(/ (- (* -1 (/ (+ (pow a1 2) (pow (+ a1 (* -1 a1)) 2)) (pow a2 2))) (+ 1 (+ (* -1 (/ a1 a2)) (/ a1 a2)))) (pow a2 2))
(/ (- (* -1 (/ (+ (* (+ a1 (* -1 a1)) (+ (pow a1 2) (pow (+ a1 (* -1 a1)) 2))) (* (pow a1 2) (+ a1 (* -1 a1)))) (pow a2 3))) (+ 1 (+ (* -1 (/ a1 a2)) (+ (/ a1 a2) (+ (/ (pow a1 2) (pow a2 2)) (/ (pow (+ a1 (* -1 a1)) 2) (pow a2 2))))))) (pow a2 2))
(/ -1 (pow a2 2))
(/ (- (+ (* -1 (/ a1 a2)) (/ a1 a2)) 1) (pow a2 2))
(/ (- (* -1 (/ (- (+ (/ (pow a1 2) a2) (/ (pow (+ a1 (* -1 a1)) 2) a2)) (+ a1 (* -1 a1))) a2)) 1) (pow a2 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ a1 (* -1 a1)) (+ (pow a1 2) (pow (+ a1 (* -1 a1)) 2))) a2) (/ (* (pow a1 2) (+ a1 (* -1 a1))) a2)) (+ (pow a1 2) (pow (+ a1 (* -1 a1)) 2))) a2)) (+ a1 (* -1 a1))) a2)) 1) (pow a2 2))

Outputs
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (.f64 a1 a1) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (.f64 a1 a1) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (.f64 a1 a1) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (.f64 a1 a1) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (.f64 a1 a1) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (.f64 a1 a1) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(.f64 (.f64 a2 a2) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+.f64 (+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 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))))
(+.f64 (+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (.f64 th th) #s(literal 1/24 binary64)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 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))))
(+.f64 (+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/24 binary64) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))))))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(pow a2 2)
(*.f64 a2 a2)
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(pow a1 2)
(*.f64 a1 a1)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))))
(pow a1 2)
(*.f64 a1 a1)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(.f64 (.f64 a1 a1) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))))
(pow a1 2)
(*.f64 a1 a1)
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(+ (pow a1 2) (pow a2 2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(pow a2 2)
(*.f64 a2 a2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))
(pow a2 2)
(*.f64 a2 a2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (.f64 a2 a2))))
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a2 2)
(*.f64 a2 a2)
(pow a2 2)
(*.f64 a2 a2)
(pow a2 2)
(*.f64 a2 a2)
(pow a2 2)
(*.f64 a2 a2)
(pow a2 2)
(*.f64 a2 a2)
(pow a2 2)
(*.f64 a2 a2)
(pow a2 2)
(*.f64 a2 a2)
(pow a2 2)
(*.f64 a2 a2)
(pow a2 2)
(*.f64 a2 a2)
(pow a2 2)
(*.f64 a2 a2)
(pow a2 2)
(*.f64 a2 a2)
(pow a2 2)
(*.f64 a2 a2)
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(/ a2 (sqrt 2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(/ a2 (sqrt 2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(/ a2 (sqrt 2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(/ a2 (sqrt 2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(/ a2 (sqrt 2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(/ a2 (sqrt 2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(/ a2 (sqrt 2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(/ a2 (sqrt 2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(/ a2 (sqrt 2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(/ a2 (sqrt 2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(/ a2 (sqrt 2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(/ a2 (sqrt 2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (sqrt 1/2))
(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))
(* (pow a2 2) (sqrt 1/2))
(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))
(* (pow a2 2) (sqrt 1/2))
(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))
(* (pow a2 2) (sqrt 1/2))
(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))
(* (pow a2 2) (sqrt 1/2))
(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))
(* (pow a2 2) (sqrt 1/2))
(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))
(* (pow a2 2) (sqrt 1/2))
(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))
(* (pow a2 2) (sqrt 1/2))
(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))
(* (pow a2 2) (sqrt 1/2))
(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))
(* (pow a2 2) (sqrt 1/2))
(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))
(* (pow a2 2) (sqrt 1/2))
(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))
(* (pow a2 2) (sqrt 1/2))
(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
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(+.f64 (/.f64 (.f64 a1 a1) (neg.f64 (pow.f64 a2 #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 a2 a2)))
(- (* (pow a1 2) (- (* -1 (/ (pow a1 2) (pow a2 6))) (/ 1 (pow a2 4)))) (/ 1 (pow a2 2)))
(+.f64 (.f64 (.f64 a1 a1) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 a1 a1)) (pow.f64 a2 #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (.f64 a2 a2)))
(- (* (pow a1 2) (- (* (pow a1 2) (- (* -1 (/ (pow a1 2) (pow a2 8))) (/ 1 (pow a2 6)))) (/ 1 (pow a2 4)))) (/ 1 (pow a2 2)))
(+.f64 (.f64 (.f64 a1 a1) (+.f64 (.f64 (.f64 a1 a1) (+.f64 (/.f64 (.f64 a1 a1) (neg.f64 (pow.f64 a2 #s(literal 8 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 6 binary64))))) (/.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (.f64 a2 a2)))
(/ 1 (pow a1 2))
(/.f64 #s(literal 1 binary64) (*.f64 a1 a1))
(/ (+ 1 (* -1 (/ (+ a2 (* -1 a2)) a1))) (pow a1 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) a1)) (*.f64 a1 a1))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow a2 2)) (* -1 (pow (+ a2 (* -1 a2)) 2))) (pow a1 2)))) (+ (* -1 (/ a2 a1)) (/ a2 a1))) (pow a1 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (*.f64 a1 a1))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ a2 (* -1 a2)) (+ (* -1 (pow a2 2)) (* -1 (pow (+ a2 (* -1 a2)) 2))))) (* (pow a2 2) (+ a2 (* -1 a2)))) (pow a1 3)))) (+ (* -1 (/ a2 a1)) (+ (* -1 (/ (pow a2 2) (pow a1 2))) (+ (* -1 (/ (pow (+ a2 (* -1 a2)) 2) (pow a1 2))) (/ a2 a1))))) (pow a1 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 0 binary64) (.f64 a1 (.f64 a1 a1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (.f64 a1 a1)))) (/.f64 (.f64 a2 a2) (-.f64 #s(literal 0 binary64) (.f64 a1 a1)))) (.f64 a1 a1))
(/ 1 (pow a1 2))
(/.f64 #s(literal 1 binary64) (*.f64 a1 a1))
(/ (+ 1 (* -1 (/ (+ a2 (* -1 a2)) a1))) (pow a1 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) a1)) (*.f64 a1 a1))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow a2 2) a1)) (* -1 (/ (pow (+ a2 (* -1 a2)) 2) a1))) (* -1 (+ a2 (* -1 a2)))) a1))) (pow a1 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) a1) (/.f64 (.f64 a2 a2) a1)) a1)) (.f64 a1 a1))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow a2 2) (+ a2 (* -1 a2))) a1)) (/ (* (+ a2 (* -1 a2)) (+ (* -1 (pow a2 2)) (* -1 (pow (+ a2 (* -1 a2)) 2)))) a1)) (+ (* -1 (pow a2 2)) (* -1 (pow (+ a2 (* -1 a2)) 2)))) a1)) (* -1 (+ a2 (* -1 a2)))) a1))) (pow a1 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) a1) (+.f64 (.f64 a2 a2) (/.f64 #s(literal 0 binary64) a1))) a1) #s(literal 0 binary64))) a1)) (*.f64 a1 a1))
(/ 1 (pow a1 2))
(/.f64 #s(literal 1 binary64) (*.f64 a1 a1))
(+ (/ 1 (pow a1 2)) (/ (pow a2 2) (pow a1 4)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) (/.f64 (.f64 a2 a2) (pow.f64 a1 #s(literal 4 binary64))))
(+ (* (pow a2 2) (+ (/ 1 (pow a1 4)) (/ (pow a2 2) (pow a1 6)))) (/ 1 (pow a1 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal 4 binary64))) (/.f64 (.f64 a2 a2) (pow.f64 a1 #s(literal 6 binary64))))))
(+ (* (pow a2 2) (+ (* (pow a2 2) (+ (/ 1 (pow a1 6)) (/ (pow a2 2) (pow a1 8)))) (/ 1 (pow a1 4)))) (/ 1 (pow a1 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal 4 binary64))) (.f64 (.f64 a2 a2) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal 6 binary64))) (/.f64 (.f64 a2 a2) (pow.f64 a1 #s(literal 8 binary64))))))))
(/ -1 (pow a2 2))
(/.f64 #s(literal -1 binary64) (*.f64 a2 a2))
(/ (- (* -1 (/ (+ a1 (* -1 a1)) a2)) 1) (pow a2 2))
(/.f64 (+.f64 (/.f64 #s(literal 0 binary64) a2) #s(literal -1 binary64)) (*.f64 a2 a2))
(/ (- (* -1 (/ (+ (pow a1 2) (pow (+ a1 (* -1 a1)) 2)) (pow a2 2))) (+ 1 (+ (* -1 (/ a1 a2)) (/ a1 a2)))) (pow a2 2))
(/.f64 (+.f64 (/.f64 (.f64 a1 a1) (-.f64 #s(literal 0 binary64) (.f64 a2 a2))) #s(literal -1 binary64)) (*.f64 a2 a2))
(/ (- (* -1 (/ (+ (* (+ a1 (* -1 a1)) (+ (pow a1 2) (pow (+ a1 (* -1 a1)) 2))) (* (pow a1 2) (+ a1 (* -1 a1)))) (pow a2 3))) (+ 1 (+ (* -1 (/ a1 a2)) (+ (/ a1 a2) (+ (/ (pow a1 2) (pow a2 2)) (/ (pow (+ a1 (* -1 a1)) 2) (pow a2 2))))))) (pow a2 2))
(/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (.f64 a2 (.f64 a2 a2))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 #s(literal 0 binary64) (.f64 a2 a2))))) (.f64 a2 a2))
(/ -1 (pow a2 2))
(/.f64 #s(literal -1 binary64) (*.f64 a2 a2))
(/ (- (+ (* -1 (/ a1 a2)) (/ a1 a2)) 1) (pow a2 2))
(/.f64 #s(literal -1 binary64) (*.f64 a2 a2))
(/ (- (* -1 (/ (- (+ (/ (pow a1 2) a2) (/ (pow (+ a1 (* -1 a1)) 2) a2)) (+ a1 (* -1 a1))) a2)) 1) (pow a2 2))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) a2) (+.f64 (/.f64 (.f64 a1 a1) a2) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) a2)) #s(literal -1 binary64)) (.f64 a2 a2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ a1 (* -1 a1)) (+ (pow a1 2) (pow (+ a1 (* -1 a1)) 2))) a2) (/ (* (pow a1 2) (+ a1 (* -1 a1))) a2)) (+ (pow a1 2) (pow (+ a1 (* -1 a1)) 2))) a2)) (+ a1 (* -1 a1))) a2)) 1) (pow a2 2))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 0 binary64) a2) (/.f64 #s(literal 0 binary64) a2)) (.f64 a1 a1)) a2) #s(literal 0 binary64)) a2) #s(literal -1 binary64)) (.f64 a2 a2))

eval473.0ms (4.1%)

Memory: 17.4MiB live, 890.6MiB allocated
Compiler: Compiled 95 899 to 7 047 computations (92.7% saved)

prune459.0ms (4%)

Memory

6.7MiB live, 999.0MiB allocated

Pruning

46 alts after pruning (40 fresh and 6 done)

	Pruned	Kept	Total
New	3 030	17	3 047
Fresh	1	23	24
Picked	2	3	5
Done	0	3	3
Total	3 033	46	3 079

Accuracy

100.0%

Counts

3 079 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.8%	(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) a2) #s(literal 2 binary64))
	41.3%	(/.f64 (/.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 a1 a2)) (-.f64 a1 a2))
	57.7%	(/.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 th th))))
	8.6%	(/.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))))
	63.4%	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
✓	99.6%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
	62.3%	(/.f64 (.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64)))
✓	98.6%	(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
✓	62.9%	(/.f64 (*.f64 a2 a2) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
✓	62.9%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
	14.0%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
	98.6%	(/.f64 a2 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) a2))
	62.9%	(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
	17.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))
	15.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))))
	8.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))))
	8.6%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
	2.2%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 a1 a1)))
	55.6%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 a2 a1) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (-.f64 a2 a1))))
	55.6%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a1 a2) (.f64 (-.f64 a1 a2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))))
	6.8%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (-.f64 a1 a2) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (-.f64 a1 a2) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
	20.8%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a1 a2) (.f64 (-.f64 a1 a2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
	8.6%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 (+.f64 a1 a2)) (.f64 a1 (-.f64 a1 a2)))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
	28.5%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (/.f64 (-.f64 a2 a1) (/.f64 #s(literal -1 binary64) (+.f64 a1 a2))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
	18.7%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))) (+.f64 a1 a2))))))
	1.6%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (*.f64 a1 a1) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
	28.4%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
	28.0%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a2 a2) (.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
	62.9%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
	14.0%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
	62.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
	63.3%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
	26.6%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))
	62.9%	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
	46.1%	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))
	16.7%	(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))
✓	62.9%	(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
	63.0%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)
	63.3%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	62.3%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
	62.9%	(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) a2) a2)
	98.6%	(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
	63.0%	(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))
	63.4%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	99.7%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
	98.7%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (*.f64 a2 a2) (cos.f64 th)))

Compiler

Compiled 2 328 to 831 computations (64.3% saved)

regimes283.0ms (2.5%)

Memory

2.8MiB live, 333.4MiB allocated

Counts

67 → 1

Calls

Call 1

Inputs
(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) a2) a2)
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 a2))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
(/.f64 (*.f64 a2 a2) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 th th))))
(.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 th th))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 a1 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 a2 a1) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (-.f64 a2 a1))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a1 a2) (.f64 (-.f64 a1 a2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a2 a2) (.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (*.f64 a1 a1) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 (/.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 a1 a2)) (-.f64 a1 a2))
(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (/.f64 (-.f64 a2 a1) (/.f64 #s(literal -1 binary64) (+.f64 a1 a2))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))) (+.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a1 a2) (.f64 (-.f64 a1 a2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(/.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 (+.f64 a1 a2)) (.f64 a1 (-.f64 a1 a2)))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (-.f64 a1 a2) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (-.f64 a1 a2) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) a2) #s(literal 2 binary64))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 a2 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) a2))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) a2) (*.f64 (cos.f64 th) a2))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 a2 a2)) (cos.f64 th))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (*.f64 a2 a2)))

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

Calls

8 calls:

129.0ms	a2
37.0ms	a1
21.0ms	th
18.0ms	(cos.f64 th)
17.0ms	(*.f64 a2 a2)

Results

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

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes152.0ms (1.3%)

Memory

16.4MiB live, 166.9MiB allocated

Counts

58 → 1

Calls

Call 1

Inputs
(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) a2) a2)
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 a2))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
(/.f64 (*.f64 a2 a2) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 th th))))
(.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 th th))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 a1 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 a2 a1) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (-.f64 a2 a1))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a1 a2) (.f64 (-.f64 a1 a2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a2 a2) (.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (*.f64 a1 a1) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 (/.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 a1 a2)) (-.f64 a1 a2))
(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (/.f64 (-.f64 a2 a1) (/.f64 #s(literal -1 binary64) (+.f64 a1 a2))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))) (+.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a1 a2) (.f64 (-.f64 a1 a2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(/.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 (+.f64 a1 a2)) (.f64 a1 (-.f64 a1 a2)))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (-.f64 a1 a2) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (-.f64 a1 a2) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) a2) #s(literal 2 binary64))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 a2 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) a2))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) a2) (*.f64 (cos.f64 th) a2))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 a2 a2)) (cos.f64 th))

Outputs
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 a2 a2)) (cos.f64 th))

Calls

6 calls:

48.0ms	(*.f64 a2 a2)
32.0ms	(cos.f64 th)
18.0ms	a1
17.0ms	a2
16.0ms	th

Results

Accuracy	Segments	Branch
98.7%	1	`a1`
98.7%	1	`a2`
98.7%	1	`th`
98.7%	1	`(cos.f64 th)`
98.7%	1	`(*.f64 a1 a1)`
98.7%	1	`(*.f64 a2 a2)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes107.0ms (0.9%)

Memory

-30.7MiB live, 246.7MiB allocated

Counts

57 → 1

Calls

Call 1

Inputs
(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) a2) a2)
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 a2))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
(/.f64 (*.f64 a2 a2) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 th th))))
(.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 th th))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 a1 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 a2 a1) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (-.f64 a2 a1))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a1 a2) (.f64 (-.f64 a1 a2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a2 a2) (.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (*.f64 a1 a1) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 (/.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 a1 a2)) (-.f64 a1 a2))
(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (/.f64 (-.f64 a2 a1) (/.f64 #s(literal -1 binary64) (+.f64 a1 a2))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))) (+.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a1 a2) (.f64 (-.f64 a1 a2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(/.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 (+.f64 a1 a2)) (.f64 a1 (-.f64 a1 a2)))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (-.f64 a1 a2) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (-.f64 a1 a2) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) a2) #s(literal 2 binary64))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 a2 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) a2))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) a2) (*.f64 (cos.f64 th) a2))

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

Calls

6 calls:

17.0ms	a1
17.0ms	(*.f64 a1 a1)
16.0ms	th
16.0ms	(cos.f64 th)
16.0ms	a2

Results

Accuracy	Segments	Branch
98.7%	1	`a1`
98.7%	1	`a2`
98.7%	1	`th`
98.7%	1	`(cos.f64 th)`
98.7%	1	`(*.f64 a1 a1)`
98.7%	1	`(*.f64 a2 a2)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes91.0ms (0.8%)

Memory

26.8MiB live, 188.4MiB allocated

Counts

49 → 1

Calls

Call 1

Inputs
(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) a2) a2)
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 a2))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
(/.f64 (*.f64 a2 a2) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 th th))))
(.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 th th))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 a1 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 a2 a1) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (-.f64 a2 a1))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a1 a2) (.f64 (-.f64 a1 a2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a2 a2) (.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (*.f64 a1 a1) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 (/.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 a1 a2)) (-.f64 a1 a2))
(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (/.f64 (-.f64 a2 a1) (/.f64 #s(literal -1 binary64) (+.f64 a1 a2))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))) (+.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a1 a2) (.f64 (-.f64 a1 a2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(/.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 (+.f64 a1 a2)) (.f64 a1 (-.f64 a1 a2)))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (-.f64 a1 a2) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (-.f64 a1 a2) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) a2) #s(literal 2 binary64))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))

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

Calls

6 calls:

19.0ms	th
14.0ms	a2
14.0ms	a1
13.0ms	(cos.f64 th)
12.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
98.6%	1	`a1`
98.6%	1	`th`
98.6%	1	`(*.f64 a1 a1)`
98.6%	1	`a2`
98.6%	1	`(cos.f64 th)`
98.6%	1	`(*.f64 a2 a2)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes69.0ms (0.6%)

Memory

4.3MiB live, 161.7MiB allocated

Counts

48 → 2

Calls

Call 1

Inputs
(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) a2) a2)
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 a2))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
(/.f64 (*.f64 a2 a2) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 a2 a2) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 th th))))
(.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 th th))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 a1 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 a2 a1) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (-.f64 a2 a1))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 th th)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a1 a2) (.f64 (-.f64 a1 a2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a2 a2) (.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (*.f64 a1 a1) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 (/.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 a1 a2)) (-.f64 a1 a2))
(.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (/.f64 (-.f64 a2 a1) (/.f64 #s(literal -1 binary64) (+.f64 a1 a2))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))) (+.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a1 a2) (.f64 (-.f64 a1 a2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(/.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 (+.f64 a1 a2)) (.f64 a1 (-.f64 a1 a2)))) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2)))))) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (-.f64 a1 a2) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 (.f64 a2 a2))))) (.f64 (-.f64 a1 a2) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))) (.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2))))))
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) a2) #s(literal 2 binary64))

Outputs
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))

Calls

5 calls:

14.0ms	a2
14.0ms	th
13.0ms	(*.f64 a2 a2)
13.0ms	a1
12.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
68.5%	2	`th`
65.1%	2	`a1`
67.7%	2	`a2`
63.4%	1	`(*.f64 a1 a1)`
65.8%	2	`(*.f64 a2 a2)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes20.0ms (0.2%)

Memory

5.6MiB live, 43.5MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	th
4.0ms	a1
4.0ms	a2
4.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
63.4%	1	`a1`
63.4%	1	`(*.f64 a2 a2)`
63.4%	1	`a2`
63.4%	1	`th`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes25.0ms (0.2%)

Memory

-31.3MiB live, 46.0MiB allocated

Accuracy

Total -31.5b remaining (-132.8%)

Threshold costs -31.5b (-132.8%)

Counts

11 → 1

Calls

Call 1

Inputs
(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) a2) a2)
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 a2))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
(/.f64 (*.f64 a2 a2) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))

Outputs
(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))

Calls

5 calls:

5.0ms	(*.f64 a2 a2)
4.0ms	th
4.0ms	a2
4.0ms	a1
3.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
63.0%	1	`th`
63.0%	1	`a1`
63.0%	1	`(*.f64 a1 a1)`
63.0%	1	`a2`
63.0%	1	`(*.f64 a2 a2)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch15.0ms (0.1%)

Memory

32.7MiB live, 32.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.555676281710464e+100	2.012090736386849e+101

Samples

10.0ms

96×

valid

Compiler

Compiled 193 to 150 computations (22.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-cos: 3.0ms (41.9% of total)

ival-mult: 2.0ms (27.9% of total)

ival-div: 1.0ms (14% of total)

ival-sqrt: 1.0ms (14% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify11.0ms (0.1%)

Memory

-6.5MiB live, 31.1MiB allocated

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative_binary64`
14×	`+-commutative_binary64`
12×	`sub-neg_binary64`
12×	`neg-mul-1_binary64`
10×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	80
1	48	80
2	56	80
3	68	80
4	78	80
5	84	80
6	86	80

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 a2 a2)) (cos.f64 th))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(if (<=.f64 th #s(literal 42999999999999999323956093161666126370328142048501475326374921161818041844063951744264921295538356224 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))

Outputs
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (cos.f64 th)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 a2 a2)) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(if (<=.f64 th #s(literal 42999999999999999323956093161666126370328142048501475326374921161818041844063951744264921295538356224 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))))
(if (<=.f64 th #s(literal 42999999999999999323956093161666126370328142048501475326374921161818041844063951744264921295538356224 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (-.f64 #s(literal 0 binary64) a2))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 a2))

soundness1.3s (11%)

Memory

-13.5MiB live, 1 123.7MiB allocated

Rules

34 694×	`accelerator-lowering-fma.f32`
34 694×	`accelerator-lowering-fma.f64`
13 504×	`accelerator-lowering-fma.f32`
13 504×	`accelerator-lowering-fma.f64`
11 912×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	385	6378
1	1267	6078
2	4706	6041
0	8472	5718
0	12	38
1	50	38
2	403	38
3	7321	38
0	8424	37
0	25	136
1	120	132
2	835	132
0	8422	121
0	366	5547
1	1116	5443
2	4105	5074
0	8615	4744
0	111	1498
1	343	1366
2	1205	1262
3	3898	1233
0	8422	1172
0	837	6139
1	2767	4820
0	10109	4642
0	26	157
1	127	153
2	919	153
0	8832	145

Stop Event

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

Compiler

Compiled 352 to 230 computations (34.7% saved)

preprocess127.0ms (1.1%)

Memory

-5.9MiB live, 151.0MiB allocated

Remove

(sort a1 a2)

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 596 to 354 computations (40.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.3s (11.5%)

preprocess163.0ms (1.4%)

explain148.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize43.0ms (0.4%)

series15.0ms (0.1%)

rewrite340.0ms (3%)

simplify718.0ms (6.3%)

eval57.0ms (0.5%)

prune59.0ms (0.5%)

simplify19.0ms (0.2%)

localize116.0ms (1%)

series35.0ms (0.3%)

rewrite799.0ms (7%)

simplify470.0ms (4.1%)

eval400.0ms (3.5%)

prune265.0ms (2.3%)

simplify46.0ms (0.4%)

localize130.0ms (1.1%)

series30.0ms (0.3%)

rewrite429.0ms (3.7%)

simplify606.0ms (5.3%)

eval425.0ms (3.7%)

prune377.0ms (3.3%)

simplify212.0ms (1.9%)

localize157.0ms (1.4%)

series49.0ms (0.4%)

rewrite449.0ms (3.9%)

simplify468.0ms (4.1%)

eval473.0ms (4.1%)

prune459.0ms (4%)

regimes283.0ms (2.5%)

regimes152.0ms (1.3%)

regimes107.0ms (0.9%)

regimes91.0ms (0.8%)

regimes69.0ms (0.6%)

regimes20.0ms (0.2%)

regimes25.0ms (0.2%)

bsearch15.0ms (0.1%)

simplify11.0ms (0.1%)

soundness1.3s (11%)

preprocess127.0ms (1.1%)

end0.0ms (0%)

Profiling