Metrics for Migdal et al, Equation (64)

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample1.6s (12.7%)

Memory

45.4MiB live, 1 782.1MiB allocated

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-mult: 372.0ms (37.1% of total)

ival-cos: 365.0ms (36.4% of total)

ival-sqrt: 115.0ms (11.5% of total)

ival-div: 81.0ms (8.1% of total)

ival-add: 54.0ms (5.4% of total)

ival-true: 6.0ms (0.6% of total)

exact: 6.0ms (0.6% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess137.0ms (1.1%)

Memory

1.9MiB live, 38.6MiB allocated

Algorithm

1×	egg-herbie

Rules

1 520×	`times-frac`
1 254×	`distribute-lft-in`
1 236×	`distribute-rgt-in`
946×	`div-sub`
714×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	120
1	130	120
2	373	120
3	1018	120
4	2414	120
5	4784	120
6	5686	120
7	6500	120
8	6573	120
9	6589	120
10	6760	120
11	6878	120
12	6890	120
13	6890	120
14	6890	120
0	12	19
0	20	13
1	33	13
2	58	13
3	88	13
4	100	13
0	100	12

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs th)

(abs a2)

(abs a1)

(sort a1 a2)

explain164.0ms (1.3%)

Memory

-44.8MiB live, 296.4MiB 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

64.0ms

512×

valid

Compiler

Compiled 160 to 52 computations (67.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-cos: 15.0ms (33.4% of total)

ival-mult: 14.0ms (31.1% of total)

ival-add: 8.0ms (17.8% of total)

ival-sqrt: 4.0ms (8.9% of total)

ival-div: 3.0ms (6.7% 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 22 to 12 computations (45.5% saved)

simplify7.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB 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	8192	(+.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×	`lower-*.f32`
92×	`lower-*.f64`
60×	`lower-fma.f64`
60×	`lower-fma.f32`
48×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
0	20	50
1	33	50
2	58	50
3	88	50
4	100	50
0	100	49

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize42.0ms (0.3%)

Memory

0.5MiB live, 82.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 th)
✓	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: 16.0ms

ival-cos: 6.0ms (36.4% of total)

ival-mult: 6.0ms (36.4% of total)

ival-div: 2.0ms (12.1% of total)

ival-sqrt: 2.0ms (12.1% of total)

ival-add: 1.0ms (6.1% of total)

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

exact: 0.0ms (0% of total)

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

series24.0ms (0.2%)

Memory

-5.3MiB live, 33.3MiB allocated

Counts

5 → 108

Calls

Call 1

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

rewrite344.0ms (2.8%)

Memory

18.1MiB live, 490.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 176×	`lower-fma.f64`
6 176×	`lower-fma.f32`
4 662×	`lower-*.f32`
4 654×	`lower-*.f64`
2 804×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
0	20	38
1	58	38
2	411	38
3	7331	38
0	8434	37

Stop Event

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

Counts

5 → 327

Calls

Call 1

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

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

simplify634.0ms (5.2%)

Memory

11.2MiB live, 1 080.7MiB allocated

Algorithm

1×	egg-herbie

Rules

34 694×	`lower-fma.f64`
34 694×	`lower-fma.f32`
6 426×	`lower-*.f64`
6 426×	`lower-*.f32`
4 620×	`lower-+.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)))
(fma.f64 a1 (/.f64 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 (fma.f64 th (.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 (/.f64 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 (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (.f64 th th) (fma.f64 th (.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 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))))
(fma.f64 th (.f64 th (.f64 (.f64 (/.f64 (.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2))) (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (.f64 (fma.f64 th (.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.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) (fma.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) (fma.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) (fma.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) (fma.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) (fma.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) (fma.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) (fma.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) (fma.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) (fma.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) (fma.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) (fma.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 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (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 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (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 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (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 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (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 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (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 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (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) (fma.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) (fma.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) (fma.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 (.f64 a2 a2) (.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (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 (.f64 a2 a2) (.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (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 (.f64 a2 a2) (.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (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 (.f64 a2 a2) (.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (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 (.f64 a2 a2) (.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (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 (.f64 a2 a2) (.f64 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (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 (fma.f64 th (.f64 th #s(literal -1/2 binary64)) #s(literal 1 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))) (fma.f64 (.f64 th th) (fma.f64 th (.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 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)))
(fma.f64 (.f64 th th) (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) (/.f64 (.f64 a1 a1) (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)))
(/ (* (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 (fma.f64 th (.f64 th #s(literal -1/2 binary64)) #s(literal 1 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)))
(fma.f64 (/.f64 (.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 th (.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 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)))
(fma.f64 (.f64 th th) (/.f64 (.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 th (.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 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)))
(fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(fma.f64 (.f64 th th) (fma.f64 th (.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(fma.f64 (.f64 th th) (fma.f64 th (.f64 th (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 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 (fma.f64 th (.f64 th #s(literal -1/2 binary64)) #s(literal 1 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))) (fma.f64 (.f64 th th) (fma.f64 th (.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 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)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th)) (fma.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 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)))
(/ (* (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: -10.6MiB live, 155.8MiB allocated
Compiler: Compiled 14 576 to 1 018 computations (93% saved)

prune74.0ms (0.6%)

Memory

2.0MiB live, 197.6MiB allocated

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	471	19	490
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	472	19	491

Accuracy

100.0%

Counts

491 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.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 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
	99.7%	(fma.f64 (.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
▶	69.3%	(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
	99.7%	(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
	99.7%	(/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
	99.7%	(/.f64 (/.f64 (.f64 (cos.f64 th) (fma.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)))
	22.4%	(/.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 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
	22.5%	(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
	22.5%	(/.f64 (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (cos.f64 th)) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
	99.5%	(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
▶	48.6%	(/.f64 (.f64 (.f64 a1 a1) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2)))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))))
▶	33.1%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th)) (fma.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
	99.7%	(.f64 (fma.f64 (cos.f64 th) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1)))) #s(literal 1/2 binary64))
	60.6%	(.f64 (fma.f64 th (.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
	63.9%	(.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (.f64 th th) (fma.f64 th (.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
▶	99.6%	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
▶	99.7%	(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))

Compiler

Compiled 860 to 514 computations (40.2% saved)

simplify326.0ms (2.7%)

Memory

9.1MiB live, 689.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	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	128	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th)) (fma.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
✓	cost-diff	1664	(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th)) (fma.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
✓	cost-diff	0	(.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (cos.f64 th))
✓	cost-diff	0	(*.f64 a1 a1)
✓	cost-diff	0	(/.f64 (.f64 (.f64 a1 a1) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	1344	(.f64 (.f64 a1 a1) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (cos.f64 th)))
✓	cost-diff	0	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 a2 a2)
✓	cost-diff	0	(fma.f64 a1 a1 (*.f64 a2 a2))
✓	cost-diff	0	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(*.f64 a2 a2)
✓	cost-diff	0	(fma.f64 a1 a1 (*.f64 a2 a2))
✓	cost-diff	0	(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))

Rules

12 852×	`lower-fma.f32`
12 840×	`lower-fma.f64`
4 764×	`lower-+.f32`
4 762×	`lower-+.f64`
3 676×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	338
0	67	332
1	130	332
2	350	324
3	1332	324
4	3658	321
5	7332	318
0	8385	315

Stop Event

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

Calls

Call 1

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

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

localize257.0ms (2.1%)

Memory

-26.6MiB live, 336.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	98.9%	(.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th)) (fma.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))
✓	accuracy	95.2%	(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 th th)) (fma.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
✓	accuracy	69.1%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th))
✓	accuracy	99.7%	(/.f64 (.f64 (.f64 a1 a1) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	92.2%	(fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))
✓	accuracy	90.9%	(/.f64 a2 (*.f64 a1 a1))
✓	accuracy	58.4%	(.f64 (.f64 a1 a1) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (cos.f64 th)))
✓	accuracy	100.0%	(fma.f64 a1 a1 (*.f64 a2 a2))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.7%	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	98.9%	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	99.7%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.3%	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(fma.f64 a1 a1 (*.f64 a2 a2))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.9%	(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
✓	accuracy	99.7%	(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))

Samples

142.0ms

256×

valid

Compiler

Compiled 362 to 42 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-mult: 81.0ms (69.6% of total)

ival-div: 11.0ms (9.4% of total)

ival-add: 9.0ms (7.7% of total)

ival-cos: 6.0ms (5.2% of total)

const: 6.0ms (5.2% of total)

ival-sqrt: 2.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series122.0ms (1%)

Memory

10.3MiB live, 167.4MiB allocated

Counts

22 → 504

Calls

Call 1

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

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

Calls

126 calls:

Time	Variable		Point	Expression
15.0ms	a1	@	inf	(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (+ (* a2 (/ a2 (sqrt 2))) (* (* (/ (* a2 a2) (sqrt 2)) (* th th)) (+ (* th (* th (+ (* (* th th) -1/720) 1/24))) -1/2))))
15.0ms	a2	@	-inf	(+ (* a1 (/ a1 (sqrt 2))) (/ (* a2 a2) (sqrt 2)))
4.0ms	a2	@	inf	(/ (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (sqrt 2))
4.0ms	a2	@	0	(* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th)))
2.0ms	a2	@	0	(+ (* a2 (/ a2 (sqrt 2))) (* (* (/ (* a2 a2) (sqrt 2)) (* th th)) (+ (* th (* th (+ (* (* th th) -1/720) 1/24))) -1/2)))

rewrite598.0ms (4.9%)

Memory

23.9MiB live, 614.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 958×	`lower-fma.f32`
6 946×	`lower-fma.f64`
4 350×	`lower-*.f32`
4 328×	`lower-*.f64`
4 004×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	240
0	67	240
1	267	232
2	2156	228
0	8335	227

Stop Event

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

Counts

22 → 931

Calls

Call 1

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

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

simplify529.0ms (4.3%)

Memory

9.5MiB live, 882.6MiB allocated

Algorithm

1×	egg-herbie

Rules

18 890×	`lower-fma.f64`
18 890×	`lower-fma.f32`
5 614×	`lower-*.f64`
5 614×	`lower-*.f32`
5 292×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	258	8242
1	860	7799
2	3146	7107
0	8184	6641

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

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

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

eval222.0ms (1.8%)

Memory: -7.6MiB live, 550.2MiB allocated
Compiler: Compiled 56 709 to 3 131 computations (94.5% saved)

prune195.0ms (1.6%)

Memory

-20.1MiB live, 555.6MiB allocated

Pruning

38 alts after pruning (38 fresh and 0 done)

	Pruned	Kept	Total
New	1 718	31	1 749
Fresh	7	7	14
Picked	5	0	5
Done	0	0	0
Total	1 730	38	1 768

Accuracy

100.0%

Counts

1 768 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.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 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
	69.3%	(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
	69.3%	(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
	69.3%	(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
	69.3%	(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))
	69.3%	(/.f64 (fma.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))) #s(literal 2 binary64))
▶	69.2%	(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 a2 a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	69.3%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
	99.7%	(/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
	11.7%	(/.f64 (/.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
	22.4%	(/.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 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
	22.5%	(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
	99.5%	(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
	44.2%	(/.f64 (.f64 (.f64 a1 a1) (.f64 (/.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
	99.5%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
	69.2%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
▶	13.2%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
▶	99.7%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
	11.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) #s(literal 2 binary64))))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))))
	59.1%	(.f64 (fma.f64 (.f64 th th) (fma.f64 th (.f64 th (fma.f64 th (.f64 th #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
	99.7%	(.f64 (fma.f64 (cos.f64 th) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1)))) #s(literal 1/2 binary64))
	60.6%	(.f64 (fma.f64 th (.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
▶	63.9%	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
	60.6%	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
	99.7%	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
	99.6%	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
	69.3%	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
	99.6%	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
	34.2%	(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
	60.6%	(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))))
	60.6%	(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))
	99.5%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
	13.9%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) (.f64 a1 a1)))))) (/.f64 (cos.f64 th) (fma.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (.f64 a1 a1) (.f64 a1 a1)))))
	99.7%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2)))) (cos.f64 th))
	99.5%	(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
	46.1%	(.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
	64.3%	(.f64 a1 (/.f64 (.f64 a1 (.f64 (cos.f64 th) (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 1 542 to 940 computations (39% saved)

simplify200.0ms (1.6%)

Memory

21.1MiB live, 459.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)))
✓	cost-diff	768	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))))
✓	cost-diff	0	(*.f64 a1 a1)
✓	cost-diff	512	(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 a2 a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
✓	cost-diff	1088	(fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a2 a2))))
✓	cost-diff	1728	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 a2 a2)
✓	cost-diff	0	(fma.f64 a1 a1 (*.f64 a2 a2))
✓	cost-diff	64	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 a1 a1)
✓	cost-diff	64	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))
✓	cost-diff	0	(cos.f64 th)
✓	cost-diff	448	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))

Rules

6 320×	`lower-fma.f32`
6 312×	`lower-fma.f64`
2 770×	`lower-*.f32`
2 758×	`lower-*.f64`
1 684×	`lower--.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	243
0	54	241
1	104	231
2	250	223
3	597	222
4	1752	220
5	5075	220
6	7404	220
0	8117	220

Stop Event

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

Calls

Call 1

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

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

localize114.0ms (0.9%)

Memory

-22.2MiB live, 295.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.9%	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))))
✓	accuracy	99.0%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)))
✓	accuracy	100.0%	(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a2 a2))))
✓	accuracy	99.7%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 a2 a2)))
✓	accuracy	98.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	99.9%	(fma.f64 (.f64 th th) (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.5%	(fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
✓	accuracy	99.2%	(/.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	95.6%	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	100.0%	(*.f64 a1 a1)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.7%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(fma.f64 a1 a1 (*.f64 a2 a2))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.8%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
✓	accuracy	99.0%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))

Samples

71.0ms

256×

valid

Compiler

Compiled 263 to 34 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 14.0ms (30.1% of total)

ival-div: 12.0ms (25.8% of total)

ival-cos: 6.0ms (12.9% of total)

ival-add: 5.0ms (10.8% of total)

const: 4.0ms (8.6% of total)

ival-sqrt: 2.0ms (4.3% of total)

ival-neg: 2.0ms (4.3% of total)

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

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

exact: 0.0ms (0% of total)

series67.0ms (0.6%)

Memory

20.4MiB live, 179.7MiB allocated

Counts

20 → 372

Calls

Call 1

Inputs
#<alt (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))>
#<alt (cos.f64 th)>
#<alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 a1 a1)>
#<alt (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (fma.f64 a1 a1 (*.f64 a2 a2))>
#<alt (*.f64 a2 a2)>
#<alt (/.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))>
#<alt (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a2 a2))))>
#<alt (/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 a2 a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))))>
#<alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)))>
#<alt (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))>
#<alt (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))>
#<alt (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))>
#<alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 a2 a2)))>
#<alt (neg.f64 (sqrt.f64 #s(literal 2 binary64)))>

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

Calls

93 calls:

Time	Variable		Point	Expression
8.0ms	th	@	inf	(/ (+ (* (* th th) (+ (* (* th th) 1/24) -1/2)) 1) (sqrt 2))
3.0ms	a1	@	0	(* (+ (* a1 a1) (* a2 a2)) (/ (+ (* (* th th) (+ (* (* th th) 1/24) -1/2)) 1) (sqrt 2)))
2.0ms	th	@	inf	(+ (* (* th th) 1/24) -1/2)
2.0ms	a2	@	-inf	(/ 1 (/ (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (cos th))))
1.0ms	a1	@	0	(/ (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) (cos th)))

rewrite665.0ms (5.4%)

Memory

16.1MiB live, 690.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 510×	`lower-fma.f32`
6 502×	`lower-fma.f64`
4 668×	`lower-*.f32`
4 656×	`lower-*.f64`
3 786×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	181
0	54	179
1	202	169
2	1463	168
0	8731	166

Stop Event

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

Counts

20 → 1 012

Calls

Call 1

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

Outputs
(+.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 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(+.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (.f64 #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))) (.f64 #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1 binary64) (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1 binary64) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) (.f64 a2 a2))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) (.f64 a1 a1))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) (.f64 a2 a2))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a2 a2) (cos.f64 th))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 a1) (cos.f64 th))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a1 a1) (cos.f64 th))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a2 a2) (cos.f64 th))))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (.f64 a2 a2)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (.f64 a1 a1)))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (.f64 a1 a1)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (.f64 a2 a2))) (.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (.f64 a1 a1))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (.f64 a1 a1))) (.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (.f64 a2 a2))))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))))) (neg.f64 (/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) (.f64 #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1 binary64) (.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1 binary64) (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a2 a2) (cos.f64 th)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 a1 a1) (cos.f64 th))))
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(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
(/.f64 (fma.f64 a1 a1 (*.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) (fma.f64 a1 a1 (.f64 a2 a2)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
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(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (.f64 (.f64 th th) #s(literal 1/24 binary64))))) #s(literal 3 binary64)) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 th th) (.f64 (.f64 th th) (.f64 th th))))) (fma.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (.f64 (.f64 th th) #s(literal 1/24 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (.f64 (.f64 th th) #s(literal 1/24 binary64))))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) (.f64 th th))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (.f64 (.f64 th th) #s(literal 1/24 binary64))))) (.f64 (*.f64 th th) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 th (.f64 (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))) (fma.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 th (.f64 (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))) (fma.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (/.f64 (.f64 th (.f64 (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))) (fma.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (.f64 (/.f64 (.f64 th (.f64 (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))) (fma.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 th (.f64 th (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 th th) (.f64 (.f64 th th) #s(literal 1/576 binary64))) (.f64 (.f64 th th) (.f64 th th))) (.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (-.f64 (.f64 th (.f64 th (.f64 (.f64 th th) #s(literal 1/24 binary64)))) (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (.f64 (.f64 th th) #s(literal 1/24 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (.f64 (.f64 th th) #s(literal 1/24 binary64)))))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 th th) (.f64 th th)))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (.f64 (.f64 th th) #s(literal 1/24 binary64))))) (.f64 (*.f64 th th) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 th (.f64 (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))) (fma.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (/.f64 (.f64 th (.f64 (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))) (fma.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))))) (+.f64 (/.f64 (.f64 th (.f64 (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))) (fma.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 th (.f64 th (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 th (.f64 th (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 th (.f64 th (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (fma.f64 (.f64 th (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (neg.f64 th) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 th (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (neg.f64 th) #s(literal -1 binary64)) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (.f64 th (.f64 (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 th (.f64 (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) (.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))))
(.f64 (fma.f64 (.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (.f64 th (.f64 (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 th th) (.f64 (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (.f64 (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (neg.f64 th))))))
(.f64 (fma.f64 th (.f64 (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 th (.f64 th (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (.f64 th (.f64 (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 th (.f64 (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) (.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))))))
(.f64 (neg.f64 (fma.f64 th (.f64 (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 th (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (neg.f64 th) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 th (.f64 (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (.f64 th (.f64 th (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 th (.f64 th (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))))
(+.f64 #s(literal 0 binary64) (neg.f64 (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (neg.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64) (neg.f64 (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
(neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)))
(neg.f64 (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (neg.f64 (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (+.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 a2 a2)))
(.f64 a2 (neg.f64 (.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
(.f64 (neg.f64 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
(.f64 (neg.f64 a2) (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (neg.f64 a2))
(.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)
(+.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal 0 binary64) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))

simplify604.0ms (4.9%)

Memory

-3.7MiB live, 714.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 906×	`lower-fma.f64`
12 906×	`lower-fma.f32`
5 756×	`lower-*.f64`
5 756×	`lower-*.f32`
4 680×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	350	6523
1	1110	6217
2	3874	5900
0	8211	5548

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

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

Outputs
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (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))))
(fma.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 th th)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* (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))))
(fma.f64 (/.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 th (.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2))))
(+ (* (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))))
(fma.f64 (.f64 th th) (fma.f64 (/.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (/.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 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))) (fma.f64 a1 a1 (.f64 a2 a2)))
(+ (/ (* (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))) (fma.f64 a1 a1 (.f64 a2 a2)))
(+ (/ (* (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))) (fma.f64 a1 a1 (.f64 a2 a2)))
(/ (* (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 a1 a1) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (.f64 a1 a1) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (.f64 a1 a1) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(/ (* (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 a1 a1) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (.f64 a1 a1) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(.f64 (.f64 a1 a1) (.f64 (fma.f64 a2 (/.f64 a2 (.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(/ (* (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) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))
(+ (/ (* (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))) (fma.f64 a1 a1 (.f64 a2 a2)))
(+ (/ (* (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))) (fma.f64 a1 a1 (.f64 a2 a2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 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 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (.f64 a2 (.f64 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 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (.f64 a2 (.f64 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 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (.f64 a2 (.f64 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 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (.f64 a2 (.f64 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 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (.f64 a2 (.f64 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 (fma.f64 a1 (/.f64 a1 (.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow th 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(fma.f64 (.f64 th th) (fma.f64 th (.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(fma.f64 (.f64 th th) (fma.f64 (.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 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)
(/ (sqrt 2) (pow a2 2))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))
(+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 4))) (/ (sqrt 2) (pow a2 2)))
(/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 a2 a2))) (.f64 a2 a2))
(+ (* (pow a1 2) (- (/ (* (pow a1 2) (sqrt 2)) (pow a2 6)) (/ (sqrt 2) (pow a2 4)))) (/ (sqrt 2) (pow a2 2)))
(fma.f64 (.f64 a1 a1) (-.f64 (.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a2 a2) (.f64 a2 a2)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
(+ (* (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)))
(fma.f64 (.f64 a1 a1) (fma.f64 (neg.f64 (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (/.f64 a1 (pow.f64 a2 #s(literal 8 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 6 binary64))))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a2 a2) (.f64 a2 a2)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
(/ (sqrt 2) (pow a1 2))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))
(/ (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))
(/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1))) (.f64 a1 a1))
(/ (- (+ (sqrt 2) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (pow a1 2))
(/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (.f64 a1 a1))) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(/ (- (+ (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))
(/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (.f64 a1 a1))) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (pow.f64 a1 #s(literal 6 binary64))))) (.f64 a1 a1))
(/ (sqrt 2) (pow a1 2))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))
(/ (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))
(/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1))) (.f64 a1 a1))
(/ (- (+ (sqrt 2) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (pow a1 2))
(/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (.f64 a1 a1))) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(/ (- (+ (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))
(/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (.f64 a1 a1))) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (pow.f64 a1 #s(literal 6 binary64))))) (.f64 a1 a1))
(/ (sqrt 2) (pow a1 2))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))
(+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 4))) (/ (sqrt 2) (pow a1 2)))
(/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1))) (.f64 a1 a1))
(+ (* (pow a2 2) (- (/ (* (pow a2 2) (sqrt 2)) (pow a1 6)) (/ (sqrt 2) (pow a1 4)))) (/ (sqrt 2) (pow a1 2)))
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(/ (- (+ (/ (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))
(/.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 (neg.f64 (/.f64 a1 (.f64 a2 a2))) (+.f64 (/.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (.f64 a2 a2))) #s(literal 1 binary64)))) (*.f64 a2 a2))
(/ (- (+ (* -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))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 (neg.f64 (/.f64 a1 (.f64 a2 a2))) (+.f64 (/.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (.f64 a2 a2))) #s(literal 1 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (.f64 (cos.f64 th) (neg.f64 (pow.f64 a2 #s(literal 6 binary64)))))) (.f64 a2 a2))
(/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+ (* 1/2 (/ (* (pow th 2) (sqrt 2)) (+ (pow a1 2) (pow a2 2)))) (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* (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))))
(fma.f64 (.f64 th th) (neg.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) (fma.f64 #s(literal -5/24 binary64) (.f64 th th) #s(literal -1/2 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* (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))))
(fma.f64 (.f64 th th) (fma.f64 (.f64 th th) (.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) #s(literal -61/720 binary64)) (neg.f64 (.f64 th th))) (neg.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))) (fma.f64 #s(literal -5/24 binary64) (.f64 th th) #s(literal -1/2 binary64))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2))))
(/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)))
(/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)))
(/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)))
(/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)))
(/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)))
(/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)))
(/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)))
(/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)))
(* (pow a2 2) (cos th))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))
(* (pow a1 2) (cos th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(.f64 (.f64 a1 a1) (fma.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (.f64 a1 a1)) (cos.f64 th)))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(.f64 (.f64 a1 a1) (fma.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (.f64 a1 a1)) (cos.f64 th)))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(.f64 (.f64 a1 a1) (fma.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (.f64 a1 a1)) (cos.f64 th)))
(* (pow a1 2) (cos th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(.f64 (.f64 a1 a1) (fma.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (.f64 a1 a1)) (cos.f64 th)))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(.f64 (.f64 a1 a1) (fma.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (.f64 a1 a1)) (cos.f64 th)))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(.f64 (.f64 a1 a1) (fma.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (.f64 a1 a1)) (cos.f64 th)))
(* (pow a1 2) (cos th))
(.f64 a1 (.f64 a1 (cos.f64 th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))
(* (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) (fma.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (.f64 a2 a2)) (cos.f64 th)))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(.f64 (.f64 a2 a2) (fma.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (.f64 a2 a2)) (cos.f64 th)))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(.f64 (.f64 a2 a2) (fma.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (.f64 a2 a2)) (cos.f64 th)))
(* (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) (fma.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (.f64 a2 a2)) (cos.f64 th)))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(.f64 (.f64 a2 a2) (fma.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (.f64 a2 a2)) (cos.f64 th)))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(.f64 (.f64 a2 a2) (fma.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (.f64 a2 a2)) (cos.f64 th)))
(+ (pow a1 2) (pow a2 2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (fma.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)))
(fma.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (.f64 th th) (fma.f64 th (.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+ (* (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)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (.f64 th th) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))
(* (cos th) (+ (pow a1 2) (pow a2 2)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))
-1/2
#s(literal -1/2 binary64)
(- (* 1/24 (pow th 2)) 1/2)
(fma.f64 th (*.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(- (* 1/24 (pow th 2)) 1/2)
(fma.f64 th (*.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(- (* 1/24 (pow th 2)) 1/2)
(fma.f64 th (*.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(* 1/24 (pow th 2))
(.f64 (.f64 th th) #s(literal 1/24 binary64))
(* (pow th 2) (- 1/24 (* 1/2 (/ 1 (pow th 2)))))
(.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 th th))))
(* (pow th 2) (- 1/24 (* 1/2 (/ 1 (pow th 2)))))
(.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 th th))))
(* (pow th 2) (- 1/24 (* 1/2 (/ 1 (pow th 2)))))
(.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 th th))))
(* 1/24 (pow th 2))
(.f64 (.f64 th th) #s(literal 1/24 binary64))
(* (pow th 2) (- 1/24 (* 1/2 (/ 1 (pow th 2)))))
(.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 th th))))
(* (pow th 2) (- 1/24 (* 1/2 (/ 1 (pow th 2)))))
(.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 th th))))
(* (pow th 2) (- 1/24 (* 1/2 (/ 1 (pow th 2)))))
(.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 th th))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow th 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(fma.f64 (.f64 th th) (fma.f64 th (.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(fma.f64 (.f64 th th) (fma.f64 th (.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* 1/24 (pow th 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) (.f64 th th)))
(* (pow th 4) (- 1/24 (* 1/2 (/ 1 (pow th 2)))))
(.f64 (.f64 (.f64 th th) (.f64 th th)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 th th))))
(* (pow th 4) (- (+ 1/24 (/ 1 (pow th 4))) (* 1/2 (/ 1 (pow th 2)))))
(.f64 (.f64 (.f64 th th) (.f64 th th)) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (.f64 th th)))))
(* (pow th 4) (- (+ 1/24 (/ 1 (pow th 4))) (* 1/2 (/ 1 (pow th 2)))))
(.f64 (.f64 (.f64 th th) (.f64 th th)) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (.f64 th th)))))
(* 1/24 (pow th 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) (.f64 th th)))
(* (pow th 4) (- 1/24 (* 1/2 (/ 1 (pow th 2)))))
(.f64 (.f64 (.f64 th th) (.f64 th th)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 th th))))
(* (pow th 4) (- (+ 1/24 (/ 1 (pow th 4))) (* 1/2 (/ 1 (pow th 2)))))
(.f64 (.f64 (.f64 th th) (.f64 th th)) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (.f64 th th)))))
(* (pow th 4) (- (+ 1/24 (/ 1 (pow th 4))) (* 1/2 (/ 1 (pow th 2)))))
(.f64 (.f64 (.f64 th th) (.f64 th th)) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (.f64 th th)))))
(* -1 (* (pow a2 2) (sqrt 2)))
(.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* (pow a2 2) (sqrt 2)))
(.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* (pow a2 2) (sqrt 2)))
(.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* (pow a2 2) (sqrt 2)))
(.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* (pow a2 2) (sqrt 2)))
(.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* (pow a2 2) (sqrt 2)))
(.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* (pow a2 2) (sqrt 2)))
(.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* (pow a2 2) (sqrt 2)))
(.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* (pow a2 2) (sqrt 2)))
(.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* (pow a2 2) (sqrt 2)))
(.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* (pow a2 2) (sqrt 2)))
(.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* (pow a2 2) (sqrt 2)))
(.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))

eval729.0ms (6%)

Memory: -124.9MiB live, 460.4MiB allocated
Compiler: Compiled 52 030 to 3 837 computations (92.6% saved)

prune305.0ms (2.5%)

Memory

24.7MiB live, 548.0MiB allocated

Pruning

38 alts after pruning (38 fresh and 0 done)

	Pruned	Kept	Total
New	1 858	19	1 877
Fresh	14	19	33
Picked	5	0	5
Done	0	0	0
Total	1 877	38	1 915

Accuracy

100.0%

Counts

1 915 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.3%	(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
	69.3%	(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
	69.3%	(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
	69.2%	(/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (neg.f64 a2) (.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	69.3%	(/.f64 (fma.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))) #s(literal 2 binary64))
▶	11.5%	(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (+.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	69.0%	(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (.f64 a2 a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	11.6%	(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a2 a2))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	69.3%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
	11.6%	(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 #s(literal -2 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) #s(literal -2 binary64)))
	11.7%	(/.f64 (/.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
	63.8%	(/.f64 (.f64 (.f64 a2 a2) (fma.f64 (.f64 th th) (fma.f64 th (.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
	69.1%	(/.f64 (.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	99.5%	(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
	33.1%	(/.f64 (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	99.5%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
	69.2%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
	99.6%	(/.f64 (cos.f64 th) (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
	99.5%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
	13.2%	(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))))
	69.3%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a2 a2) (cos.f64 th))))
	61.4%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))))
	59.1%	(.f64 (fma.f64 (.f64 th th) (fma.f64 th (.f64 th (fma.f64 th (.f64 th #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
	69.3%	(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) #s(literal 1/2 binary64))
▶	60.6%	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
	99.6%	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
	69.3%	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
	34.2%	(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
	60.6%	(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))))
	60.6%	(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))
	99.5%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
▶	13.2%	(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
▶	99.7%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2)))) (cos.f64 th))
	13.2%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
	99.5%	(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
▶	46.1%	(.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 1 406 to 898 computations (36.1% saved)

simplify231.0ms (1.9%)

Memory

10.1MiB live, 402.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	192	(+.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)))
✓	cost-diff	1088	(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (+.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
✓	cost-diff	1280	(/.f64 (.f64 #s(literal -2 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (+.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))))
✓	cost-diff	1728	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(*.f64 a2 a2)
✓	cost-diff	0	(/.f64 (.f64 a2 a2) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
✓	cost-diff	1024	(.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
✓	cost-diff	1280	(fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 a2 a2)
✓	cost-diff	0	(fma.f64 a1 a1 (*.f64 a2 a2))
✓	cost-diff	0	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))
✓	cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2)))) (cos.f64 th))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))

Rules

5 842×	`lower-*.f32`
5 816×	`lower-*.f64`
5 262×	`lower-fma.f32`
5 254×	`lower-fma.f64`
3 056×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	315
0	69	283
1	135	266
2	347	249
3	1228	245
4	3789	243
5	6754	243
0	8039	241

Stop Event

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

Calls

Call 1

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

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

localize136.0ms (1.1%)

Memory

0.5MiB live, 238.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 a2 (.f64 a2 a2))
✓	accuracy	99.7%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))
✓	accuracy	98.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	22.7%	(/.f64 (.f64 #s(literal -2 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (+.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))))
✓	accuracy	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)
✓	accuracy	88.9%	(fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	88.8%	(.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
✓	accuracy	75.5%	(/.f64 (.f64 a2 a2) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))
✓	accuracy	100.0%	(fma.f64 a1 a1 (*.f64 a2 a2))
✓	accuracy	99.7%	(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
✓	accuracy	99.1%	(/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	92.7%	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.8%	(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
✓	accuracy	99.3%	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.9%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2)))) (cos.f64 th))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
✓	accuracy	99.0%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))

Samples

87.0ms

256×

valid

Compiler

Compiled 330 to 42 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 31.0ms (50.6% of total)

ival-div: 13.0ms (21.2% of total)

ival-add: 7.0ms (11.4% of total)

ival-cos: 6.0ms (9.8% of total)

ival-sqrt: 2.0ms (3.3% of total)

exact: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

series56.0ms (0.5%)

Memory

-3.5MiB live, 114.4MiB allocated

Counts

22 → 372

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (.f64 a2 a2)))) (cos.f64 th))>
#<alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)>
#<alt (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (fma.f64 a1 a1 (*.f64 a2 a2))>
#<alt (*.f64 a2 a2)>
#<alt (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (/.f64 (.f64 a2 a2) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))>
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (.f64 #s(literal -2 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (+.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))))>
#<alt (/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (+.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)))>
#<alt (cos.f64 th)>
#<alt (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))>
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)>
#<alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))>
#<alt (.f64 a2 (.f64 a2 a2))>

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

Calls

93 calls:

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

rewrite307.0ms (2.5%)

Memory

-6.8MiB live, 443.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 528×	`lower-fma.f32`
4 520×	`lower-fma.f64`
4 452×	`lower-/.f32`
4 438×	`lower-/.f64`
4 250×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	211
0	69	215
1	248	173
2	2085	169
0	8730	167

Stop Event

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

Counts

22 → 1 129

Calls

Call 1

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

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

simplify309.0ms (2.5%)

Memory

-20.7MiB live, 532.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 678×	`lower-fma.f64`
9 678×	`lower-fma.f32`
4 698×	`lower-*.f64`
4 698×	`lower-*.f32`
2 722×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	219	4602
1	645	4430
2	2125	4319
3	6913	4259
0	8183	4003

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

Inputs
(/ (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)))))
(/ (* (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))
(/ (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 a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(+ (* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2)))
(+ (* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2)))
(+ (* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2)))
(/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (* (pow a1 2) (sqrt 2))))))
(* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (* (pow a1 2) (sqrt 2))))))
(* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (* (pow a1 2) (sqrt 2))))))
(/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (* (pow a1 2) (sqrt 2))))))
(* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (* (pow a1 2) (sqrt 2))))))
(* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (* (pow a1 2) (sqrt 2))))))
(/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(+ (* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2)))
(+ (* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2)))
(+ (* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2)))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (* (pow a2 2) (sqrt 2))))))
(* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (* (pow a2 2) (sqrt 2))))))
(* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (* (pow a2 2) (sqrt 2))))))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (* (pow a2 2) (sqrt 2))))))
(* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (* (pow a2 2) (sqrt 2))))))
(* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (* (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))))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 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))))
(* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2)))
(* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (+ (/ (pow a1 2) (* (pow th 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2))))))
(* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (+ (/ (pow a1 2) (* (pow th 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2))))))
(* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (+ (/ (pow a1 2) (* (pow th 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2))))))
(* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2)))
(* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (+ (/ (pow a1 2) (* (pow th 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2))))))
(* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (+ (/ (pow a1 2) (* (pow th 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2))))))
(* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (+ (/ (pow a1 2) (* (pow th 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2))))))
(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 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)
(/ 1 (sqrt 2))
(+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))
(+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))
(+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))
(* -1/2 (/ (pow th 2) (sqrt 2)))
(* (pow th 2) (- (/ 1 (* (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))
(* (pow th 2) (- (/ 1 (* (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))
(* (pow th 2) (- (/ 1 (* (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))
(* -1/2 (/ (pow th 2) (sqrt 2)))
(* (pow th 2) (- (/ 1 (* (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))
(* (pow th 2) (- (/ 1 (* (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))
(* (pow th 2) (- (/ 1 (* (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))
(/ (pow a2 2) (* a1 (sqrt 2)))
(/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) a1)
(/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) a1)
(/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) a1)
(/ a1 (sqrt 2))
(* a1 (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* a1 (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* a1 (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ a1 (sqrt 2))
(* -1 (* a1 (- (* -1 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (/ 1 (sqrt 2)))))
(* -1 (* a1 (- (* -1 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (/ 1 (sqrt 2)))))
(* -1 (* a1 (- (* -1 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (/ 1 (sqrt 2)))))
(/ a1 (sqrt 2))
(+ (/ a1 (sqrt 2)) (/ (pow a2 2) (* a1 (sqrt 2))))
(+ (/ a1 (sqrt 2)) (/ (pow a2 2) (* a1 (sqrt 2))))
(+ (/ a1 (sqrt 2)) (/ (pow a2 2) (* a1 (sqrt 2))))
(/ (pow a2 2) (* a1 (sqrt 2)))
(* (pow a2 2) (+ (/ 1 (* a1 (sqrt 2))) (/ a1 (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (* a1 (sqrt 2))) (/ a1 (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (* a1 (sqrt 2))) (/ a1 (* (pow a2 2) (sqrt 2)))))
(/ (pow a2 2) (* a1 (sqrt 2)))
(* (pow a2 2) (+ (/ 1 (* a1 (sqrt 2))) (/ a1 (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (* a1 (sqrt 2))) (/ a1 (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (* a1 (sqrt 2))) (/ a1 (* (pow a2 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 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)))))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(* -2 (/ (pow a2 2) (sqrt 2)))
(* -2 (/ (pow a2 2) (sqrt 2)))
(* -2 (/ (pow a2 2) (sqrt 2)))
(* -2 (/ (pow a2 2) (sqrt 2)))
(* -2 (/ (pow a2 2) (sqrt 2)))
(* -2 (/ (pow a2 2) (sqrt 2)))
(* -2 (/ (pow a2 2) (sqrt 2)))
(* -2 (/ (pow a2 2) (sqrt 2)))
(* -2 (/ (pow a2 2) (sqrt 2)))
(* -2 (/ (pow a2 2) (sqrt 2)))
(* -2 (/ (pow a2 2) (sqrt 2)))
(* -2 (/ (pow a2 2) (sqrt 2)))
(* 2 (/ (pow a2 2) (pow (sqrt 2) 3)))
(+ (* 2 (/ (pow a2 2) (pow (sqrt 2) 3))) (/ (pow a1 2) (sqrt 2)))
(+ (* 2 (/ (pow a2 2) (pow (sqrt 2) 3))) (/ (pow a1 2) (sqrt 2)))
(+ (* 2 (/ (pow a2 2) (pow (sqrt 2) 3))) (/ (pow a1 2) (sqrt 2)))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (* 2 (/ (pow a2 2) (* (pow a1 2) (pow (sqrt 2) 3)))) (/ 1 (sqrt 2))))
(* (pow a1 2) (+ (* 2 (/ (pow a2 2) (* (pow a1 2) (pow (sqrt 2) 3)))) (/ 1 (sqrt 2))))
(* (pow a1 2) (+ (* 2 (/ (pow a2 2) (* (pow a1 2) (pow (sqrt 2) 3)))) (/ 1 (sqrt 2))))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (* 2 (/ (pow a2 2) (* (pow a1 2) (pow (sqrt 2) 3)))) (/ 1 (sqrt 2))))
(* (pow a1 2) (+ (* 2 (/ (pow a2 2) (* (pow a1 2) (pow (sqrt 2) 3)))) (/ 1 (sqrt 2))))
(* (pow a1 2) (+ (* 2 (/ (pow a2 2) (* (pow a1 2) (pow (sqrt 2) 3)))) (/ 1 (sqrt 2))))
(/ (pow a1 2) (sqrt 2))
(+ (* 2 (/ (pow a2 2) (pow (sqrt 2) 3))) (/ (pow a1 2) (sqrt 2)))
(+ (* 2 (/ (pow a2 2) (pow (sqrt 2) 3))) (/ (pow a1 2) (sqrt 2)))
(+ (* 2 (/ (pow a2 2) (pow (sqrt 2) 3))) (/ (pow a1 2) (sqrt 2)))
(* 2 (/ (pow a2 2) (pow (sqrt 2) 3)))
(* (pow a2 2) (+ (* 2 (/ 1 (pow (sqrt 2) 3))) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (* 2 (/ 1 (pow (sqrt 2) 3))) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (* 2 (/ 1 (pow (sqrt 2) 3))) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* 2 (/ (pow a2 2) (pow (sqrt 2) 3)))
(* (pow a2 2) (+ (* 2 (/ 1 (pow (sqrt 2) 3))) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (* 2 (/ 1 (pow (sqrt 2) 3))) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (* 2 (/ 1 (pow (sqrt 2) 3))) (/ (pow a1 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))
(* (pow a2 2) (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)
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 (pow th 2)) 1/2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(* -1/2 (pow th 2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(* a1 (sqrt 2))
(* a1 (sqrt 2))
(* a1 (sqrt 2))
(* a1 (sqrt 2))
(* a1 (sqrt 2))
(* a1 (sqrt 2))
(* a1 (sqrt 2))
(* a1 (sqrt 2))
(* a1 (sqrt 2))
(* a1 (sqrt 2))
(* a1 (sqrt 2))
(* a1 (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))
(* (pow a2 2) (sqrt 2))
(pow a2 3)
(pow a2 3)
(pow a2 3)
(pow a2 3)
(pow a2 3)
(pow a2 3)
(pow a2 3)
(pow a2 3)
(pow a2 3)
(pow a2 3)
(pow a2 3)
(pow a2 3)

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

eval214.0ms (1.7%)

Memory: 51.5MiB live, 427.1MiB allocated
Compiler: Compiled 48 120 to 4 354 computations (91% saved)

prune253.0ms (2.1%)

Memory

3.4MiB live, 566.5MiB allocated

Pruning

59 alts after pruning (57 fresh and 2 done)

	Pruned	Kept	Total
New	1 693	30	1 723
Fresh	6	27	33
Picked	3	2	5
Done	0	0	0
Total	1 702	59	1 761

Accuracy

100.0%

Counts

1 761 → 59

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.3%	(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
	33.1%	(fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 (.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))))
	69.3%	(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
	69.2%	(/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (neg.f64 a2) (.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	69.3%	(/.f64 (fma.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))) #s(literal 2 binary64))
	11.5%	(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) #s(literal -2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	2.3%	(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	2.3%	(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (neg.f64 a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	11.5%	(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	2.3%	(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	18.5%	(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	58.8%	(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 #s(literal -2 binary64) a2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	11.5%	(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) (.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	69.0%	(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (.f64 a2 #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	69.0%	(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	2.3%	(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	18.5%	(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	18.5%	(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	15.7%	(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a2 #s(literal -2 binary64)) (/.f64 (.f64 a2 (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	11.6%	(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a2 a2))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	69.3%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
	2.3%	(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 #s(literal 2 binary64) (.f64 (.f64 a2 a2) (.f64 a2 a2)))) (.f64 #s(literal -2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (neg.f64 a1)))))
	11.6%	(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 #s(literal -2 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) #s(literal -2 binary64)))
	11.7%	(/.f64 (/.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
	63.8%	(/.f64 (.f64 (.f64 a2 a2) (fma.f64 (.f64 th th) (fma.f64 th (.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
	69.1%	(/.f64 (.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	99.5%	(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
	33.1%	(/.f64 (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	99.5%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
	69.2%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
	15.8%	(/.f64 (.f64 a1 (fma.f64 a1 (.f64 #s(literal -1/2 binary64) (*.f64 th th)) a1)) (sqrt.f64 #s(literal 2 binary64)))
	99.6%	(/.f64 (cos.f64 th) (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
	99.5%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
	13.2%	(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))))
	69.3%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a2 a2) (cos.f64 th))))
	18.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (neg.f64 a1)))))
	59.1%	(.f64 (fma.f64 (.f64 th th) (fma.f64 th (.f64 th (fma.f64 th (.f64 th #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
	18.5%	(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (neg.f64 a1))) #s(literal -1/2 binary64))
	69.3%	(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) #s(literal 1/2 binary64))
	99.6%	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
	69.3%	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
	99.5%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
✓	13.2%	(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
	99.5%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))) (cos.f64 th))
	13.2%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) a1)
	13.2%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
	13.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
	60.4%	(.f64 (.f64 a2 a2) (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
	99.5%	(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
	14.9%	(.f64 (.f64 a1 a1) (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
	46.8%	(.f64 a1 (fma.f64 (.f64 a1 a2) (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
	63.2%	(.f64 a1 (fma.f64 a2 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
✓	46.1%	(.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
	58.1%	(.f64 a1 (fma.f64 a1 (/.f64 #s(literal 1 binary64) (/.f64 a1 (.f64 a2 (/.f64 a2 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
	63.2%	(.f64 a1 (/.f64 (fma.f64 (.f64 (.f64 a2 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 a1 #s(literal 1 binary64))) (.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
	63.2%	(.f64 a1 (/.f64 (fma.f64 (.f64 (.f64 a2 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
	63.1%	(.f64 a1 (/.f64 (.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))

Compiler

Compiled 3 104 to 1 077 computations (65.3% saved)

regimes224.0ms (1.8%)

Memory

-31.6MiB live, 405.6MiB allocated

Counts

100 → 1

Calls

Call 1

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

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

Calls

8 calls:

29.0ms	(cos.f64 th)
29.0ms	th
29.0ms	a1
28.0ms	a2
27.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

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)

regimes158.0ms (1.3%)

Memory

24.7MiB live, 301.9MiB allocated

Counts

70 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 a1 (/.f64 (.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) a1)
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 a1 a1) (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 a2 a2) (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 a1 (fma.f64 a1 (.f64 #s(literal -1/2 binary64) (*.f64 th th)) a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) #s(literal 1/2 binary64))
(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (neg.f64 a1))) #s(literal -1/2 binary64))
(/.f64 (fma.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))) #s(literal 2 binary64))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))))
(/.f64 (.f64 (.f64 a2 a2) (fma.f64 (.f64 th th) (fma.f64 th (.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(.f64 a1 (fma.f64 a2 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(/.f64 (.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (fma.f64 (.f64 th th) (fma.f64 th (.f64 th (fma.f64 th (.f64 th #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (neg.f64 a1)))))
(.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 a1 (fma.f64 (.f64 a1 a2) (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 th (.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 (.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (.f64 th th) (fma.f64 th (.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 a2 a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (neg.f64 a2) (.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 a1 (fma.f64 a1 (/.f64 #s(literal 1 binary64) (/.f64 a1 (.f64 a2 (/.f64 a2 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 #s(literal -2 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 a1 (/.f64 (fma.f64 (.f64 (.f64 a2 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (.f64 a2 #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (.f64 a2 a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 #s(literal 2 binary64) (.f64 (.f64 a2 a2) (.f64 a2 a2)))) (.f64 #s(literal -2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (neg.f64 a1)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a2 a2))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 a1 (/.f64 (fma.f64 (.f64 (.f64 a2 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 a1 #s(literal 1 binary64))) (.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a2 #s(literal -2 binary64)) (/.f64 (.f64 a2 (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) #s(literal -2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (neg.f64 a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (+.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) (.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 #s(literal -2 binary64) a2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (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) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))

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

Calls

8 calls:

21.0ms	th
20.0ms	a2
20.0ms	a1
19.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
19.0ms	(*.f64 a2 a2)

Results

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

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes174.0ms (1.4%)

Memory

2.3MiB live, 322.0MiB allocated

Counts

67 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 a1 (/.f64 (.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) a1)
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 a1 a1) (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 a2 a2) (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 a1 (fma.f64 a1 (.f64 #s(literal -1/2 binary64) (*.f64 th th)) a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) #s(literal 1/2 binary64))
(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (neg.f64 a1))) #s(literal -1/2 binary64))
(/.f64 (fma.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))) #s(literal 2 binary64))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))))
(/.f64 (.f64 (.f64 a2 a2) (fma.f64 (.f64 th th) (fma.f64 th (.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(.f64 a1 (fma.f64 a2 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(/.f64 (.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (fma.f64 (.f64 th th) (fma.f64 th (.f64 th (fma.f64 th (.f64 th #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (neg.f64 a1)))))
(.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 a1 (fma.f64 (.f64 a1 a2) (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 th (.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 (.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (.f64 th th) (fma.f64 th (.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 a2 a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (neg.f64 a2) (.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 a1 (fma.f64 a1 (/.f64 #s(literal 1 binary64) (/.f64 a1 (.f64 a2 (/.f64 a2 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 #s(literal -2 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 a1 (/.f64 (fma.f64 (.f64 (.f64 a2 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (.f64 a2 #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (.f64 a2 a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 #s(literal 2 binary64) (.f64 (.f64 a2 a2) (.f64 a2 a2)))) (.f64 #s(literal -2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (neg.f64 a1)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a2 a2))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 a1 (/.f64 (fma.f64 (.f64 (.f64 a2 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 a1 #s(literal 1 binary64))) (.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a2 #s(literal -2 binary64)) (/.f64 (.f64 a2 (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) #s(literal -2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (neg.f64 a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (+.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) (.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 #s(literal -2 binary64) a2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))

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

Calls

8 calls:

28.0ms	(*.f64 a1 a1)
23.0ms	th
21.0ms	a1
21.0ms	a2
20.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Results

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

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes181.0ms (1.5%)

Memory

-13.8MiB live, 305.7MiB allocated

Counts

66 → 2

Calls

Call 1

Inputs
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 a1 (/.f64 (.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) a1)
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 a1 a1) (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 a2 a2) (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 a1 (fma.f64 a1 (.f64 #s(literal -1/2 binary64) (*.f64 th th)) a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) #s(literal 1/2 binary64))
(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (neg.f64 a1))) #s(literal -1/2 binary64))
(/.f64 (fma.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))) #s(literal 2 binary64))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1))))
(/.f64 (.f64 (.f64 a2 a2) (fma.f64 (.f64 th th) (fma.f64 th (.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(.f64 a1 (fma.f64 a2 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(/.f64 (.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (fma.f64 (.f64 th th) (fma.f64 th (.f64 th (fma.f64 th (.f64 th #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (neg.f64 a1)))))
(.f64 a1 (fma.f64 a1 (/.f64 (.f64 a2 a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 a1 (fma.f64 (.f64 a1 a2) (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 th (.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (/.f64 (.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (.f64 th th) (fma.f64 th (.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) #s(literal 2 binary64)) (/.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 a2 a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (neg.f64 a2) (.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 a1 (fma.f64 a1 (/.f64 #s(literal 1 binary64) (/.f64 a1 (.f64 a2 (/.f64 a2 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 #s(literal -2 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 a1 (/.f64 (fma.f64 (.f64 (.f64 a2 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) a1) (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (.f64 a2 #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (.f64 a2 a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 a1 a1) (.f64 a1 a1)) (.f64 #s(literal 2 binary64) (.f64 (.f64 a2 a2) (.f64 a2 a2)))) (.f64 #s(literal -2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (neg.f64 a1)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a2 a2))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 a1 (/.f64 (fma.f64 (.f64 (.f64 a2 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (.f64 a1 #s(literal 1 binary64))) (.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a2 #s(literal -2 binary64)) (/.f64 (.f64 a2 (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (.f64 a2 a2) (.f64 (.f64 a2 a2) #s(literal -2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (neg.f64 a2)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (+.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) (.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 #s(literal -2 binary64) a2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))

Outputs

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

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

Calls

8 calls:

36.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
27.0ms	(cos.f64 th)
20.0ms	(*.f64 a2 a2)
20.0ms	th
19.0ms	a2

Results

Accuracy	Segments	Branch
69.3%	1	`a1`
69.3%	1	`a2`
72.5%	3	`th`
80.4%	2	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
80.4%	2	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
80.4%	2	`(cos.f64 th)`
69.3%	1	`(*.f64 a1 a1)`
69.3%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes25.0ms (0.2%)

Memory

25.3MiB live, 64.2MiB allocated

Counts

41 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

12.0ms	(cos.f64 th)
11.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
80.4%	2	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
80.4%	2	`(cos.f64 th)`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes28.0ms (0.2%)

Memory

-25.8MiB live, 58.7MiB allocated

Counts

40 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

15.0ms	(cos.f64 th)
12.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
80.4%	2	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
80.4%	2	`(cos.f64 th)`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes28.0ms (0.2%)

Memory

20.1MiB live, 59.2MiB allocated

Counts

30 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

9.0ms

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

9.0ms

(cos.f64 th)

8.0ms

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

Results

Accuracy	Segments	Branch
80.4%	2	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
80.4%	2	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
80.4%	2	`(cos.f64 th)`

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes20.0ms (0.2%)

Memory

-32.2MiB live, 48.2MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

7.0ms

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

6.0ms

(cos.f64 th)

6.0ms

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

Results

Accuracy	Segments	Branch
79.4%	2	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
77.8%	2	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
77.8%	2	`(cos.f64 th)`

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes12.0ms (0.1%)

Memory

30.8MiB live, 30.8MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

4.0ms

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

4.0ms

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

4.0ms

(cos.f64 th)

Results

Accuracy	Segments	Branch
73.1%	2	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
73.1%	2	`(cos.f64 th)`
74.8%	2	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes31.0ms (0.3%)

Memory

-13.9MiB live, 64.3MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

8 calls:

5.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
4.0ms	a2
4.0ms	th
4.0ms	a1
4.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
69.3%	1	`a1`
69.3%	1	`a2`
69.3%	1	`(*.f64 a2 a2)`
69.3%	1	`(*.f64 a1 a1)`
69.3%	1	`th`
69.3%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
69.3%	1	`(cos.f64 th)`
69.3%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes21.0ms (0.2%)

Memory

16.2MiB live, 55.5MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
69.2%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
69.2%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
69.2%	1	`(cos.f64 th)`
69.2%	1	`th`
69.2%	1	`a1`
69.2%	1	`a2`
69.2%	1	`(*.f64 a1 a1)`
69.2%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes14.0ms (0.1%)

Memory

-10.1MiB live, 30.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
13.2%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
13.2%	1	`(cos.f64 th)`
13.2%	1	`th`
13.2%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
13.2%	1	`a1`
13.2%	1	`a2`
13.2%	1	`(*.f64 a2 a2)`
13.2%	1	`(*.f64 a1 a1)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.035710306245512254	0.027028181273502247

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.035710306245512254	0.027028181273502247

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.035710306245512254	0.027028181273502247

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.035710306245512254	0.027028181273502247

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.024506217917108e-118	-2.808267674324183e-136

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.7422947072057198e-61	-7.3055239188339e-74

Compiler

Compiled 25 to 18 computations (28% saved)

simplify12.0ms (0.1%)

Memory

-18.5MiB live, 20.5MiB allocated

Algorithm

1×	egg-herbie

Rules

48×	`*-commutative_binary64`
20×	`+-commutative_binary64`
18×	`sub-neg_binary64`
18×	`neg-sub0_binary64`
18×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	280
1	84	280
2	100	280
3	121	280
4	133	280
5	140	280
6	142	280

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 (cos.f64 th) #s(literal -5764607523034235/288230376151711744 binary64)) (/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
(if (<=.f64 (cos.f64 th) #s(literal -5764607523034235/288230376151711744 binary64)) (/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
(if (<=.f64 (cos.f64 th) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (neg.f64 a1))) #s(literal -1/2 binary64)) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
(if (<=.f64 (cos.f64 th) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (neg.f64 a1))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #s(literal -5678427533559429/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104 binary64)) (.f64 (.f64 a2 a2) (/.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #s(literal -2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) (.f64 (.f64 a1 a1) (/.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)

Outputs
(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 (cos.f64 th) #s(literal -5764607523034235/288230376151711744 binary64)) (/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
(if (<=.f64 (cos.f64 th) #s(literal -5764607523034235/288230376151711744 binary64)) (/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
(if (<=.f64 (cos.f64 th) #s(literal -5764607523034235/288230376151711744 binary64)) (/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
(if (<=.f64 (cos.f64 th) #s(literal -5764607523034235/288230376151711744 binary64)) (/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
(if (<=.f64 (cos.f64 th) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (neg.f64 a1))) #s(literal -1/2 binary64)) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
(if (<=.f64 (cos.f64 th) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2) (neg.f64 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
(if (<=.f64 (cos.f64 th) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (neg.f64 a1))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 (cos.f64 th) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2) (neg.f64 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #s(literal -5678427533559429/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104 binary64)) (.f64 (.f64 a2 a2) (/.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -5678427533559429/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104 binary64)) (.f64 (.f64 a2 a2) (/.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #s(literal -2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) (.f64 (.f64 a1 a1) (/.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) (.f64 (.f64 a1 a1) (/.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))

soundness1.7s (14.3%)

Memory

38.4MiB live, 1 260.7MiB allocated

Rules

34 694×	`lower-fma.f64`
34 694×	`lower-fma.f32`
18 890×	`lower-fma.f64`
18 890×	`lower-fma.f32`
12 906×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	181
0	54	179
1	202	169
2	1463	168
0	8731	166
0	35	240
0	67	240
1	267	232
2	2156	228
0	8335	227
0	12	44
0	20	38
1	58	38
2	411	38
3	7331	38
0	8434	37
0	258	8242
1	860	7799
2	3146	7107
0	8184	6641
0	111	1498
1	343	1366
2	1205	1262
3	3898	1233
0	8422	1172
0	350	6523
1	1110	6217
2	3874	5900
0	8211	5548
0	37	211
0	69	215
1	248	173
2	2085	169
0	8730	167
0	219	4602
1	645	4430
2	2125	4319
3	6913	4259
0	8183	4003

Stop Event

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

Compiler

Compiled 845 to 423 computations (49.9% saved)

preprocess83.0ms (0.7%)

Memory

0.6MiB live, 193.6MiB allocated

Remove

(sort a1 a2)

(abs a1)

(abs a2)

(abs th)

Compiler

Compiled 970 to 380 computations (60.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.6s (12.7%)

preprocess137.0ms (1.1%)

explain164.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize42.0ms (0.3%)

series24.0ms (0.2%)

rewrite344.0ms (2.8%)

simplify634.0ms (5.2%)

eval57.0ms (0.5%)

prune74.0ms (0.6%)

simplify326.0ms (2.7%)

localize257.0ms (2.1%)

series122.0ms (1%)

rewrite598.0ms (4.9%)

simplify529.0ms (4.3%)

eval222.0ms (1.8%)

prune195.0ms (1.6%)

simplify200.0ms (1.6%)

localize114.0ms (0.9%)

series67.0ms (0.6%)

rewrite665.0ms (5.4%)

simplify604.0ms (4.9%)

eval729.0ms (6%)

prune305.0ms (2.5%)

simplify231.0ms (1.9%)

localize136.0ms (1.1%)

series56.0ms (0.5%)

rewrite307.0ms (2.5%)

simplify309.0ms (2.5%)

eval214.0ms (1.7%)

prune253.0ms (2.1%)

regimes224.0ms (1.8%)

regimes158.0ms (1.3%)

regimes174.0ms (1.4%)

regimes181.0ms (1.5%)

regimes25.0ms (0.2%)

regimes28.0ms (0.2%)

regimes28.0ms (0.2%)

regimes20.0ms (0.2%)

regimes12.0ms (0.1%)

regimes31.0ms (0.3%)

regimes21.0ms (0.2%)

regimes14.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

soundness1.7s (14.3%)

preprocess83.0ms (0.7%)

end0.0ms (0%)

Profiling