Metrics for Migdal et al, Equation (64)

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

sample1.3s (14.1%)

Memory

44.6MiB live, 1 884.9MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 713.0ms

ival-cos: 271.0ms (38% of total)

ival-mult: 212.0ms (29.8% of total)

ival-div: 124.0ms (17.4% of total)

ival-sqrt: 56.0ms (7.9% of total)

ival-add: 36.0ms (5.1% of total)

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

exact: 5.0ms (0.7% of total)

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

Bogosity

preprocess142.0ms (1.5%)

Memory

-26.8MiB live, 73.1MiB 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)

explain160.0ms (1.7%)

Memory

-16.3MiB live, 297.4MiB 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

57.0ms

512×

valid

Compiler

Compiled 160 to 52 computations (67.5% saved)

Precisions

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

ival-mult: 14.0ms (40.8% of total)

ival-cos: 11.0ms (32.1% of total)

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

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

ival-add: 2.0ms (5.8% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 22 to 12 computations (45.5% saved)

simplify7.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB 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

localize157.0ms (1.7%)

Memory

10.9MiB live, 86.5MiB 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

142.0ms

256×

valid

Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

ival-cos: 123.0ms (92.6% of total)

ival-mult: 5.0ms (3.8% of total)

ival-div: 2.0ms (1.5% of total)

ival-sqrt: 2.0ms (1.5% of total)

ival-add: 1.0ms (0.8% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Memory

-18.4MiB live, 21.4MiB allocated

Counts

4 → 72

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	th	@	0	(* (/ (cos th) (sqrt 2)) (* a2 a2))
2.0ms	a1	@	0	(* (/ (cos th) (sqrt 2)) (* a1 a1))
1.0ms	th	@	inf	(* (/ (cos th) (sqrt 2)) (* a2 a2))
1.0ms	th	@	inf	(* (/ (cos th) (sqrt 2)) (* a1 a1))
1.0ms	a2	@	0	(* (/ (cos th) (sqrt 2)) (* a2 a2))

rewrite194.0ms (2.1%)

Memory

-16.8MiB live, 244.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 536×	`lower-*.f32`
2 528×	`lower-*.f64`
2 046×	`lower-/.f32`
2 044×	`lower-/.f64`
524×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
0	18	25
1	40	25
2	162	25
3	799	25
0	4469	25

Stop Event

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

Counts

4 → 330

Calls

Call 1

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

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

simplify567.0ms (6.1%)

Memory

7.7MiB live, 611.6MiB allocated

Algorithm

1×	egg-herbie

Rules

22 970×	`lower-fma.f64`
22 970×	`lower-fma.f32`
5 914×	`lower-*.f64`
5 914×	`lower-*.f32`
3 134×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	730
1	223	730
2	716	686
3	2049	661
4	3458	659
5	6896	655
0	8040	632

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

simplify103.0ms (1.1%)

Memory

-13.2MiB live, 64.6MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	617	4516
1	618	4516
0	618	4516

Stop Event

1×	saturated
1×	saturated

Counts

330 → 0

Calls

Call 1

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

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

eval17.0ms (0.2%)

Memory: 30.9MiB live, 30.9MiB allocated
Compiler: Compiled 4 011 to 89 computations (97.8% saved)

prune59.0ms (0.6%)

Memory

-35.7MiB live, 6.3MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	188	4	192
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	188	5	193

Accuracy

99.6%

Counts

193 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.2%	(+.f64 (/.f64 (.f64 a1 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
▶	98.5%	(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
▶	99.5%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
▶	69.0%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
✓	99.5%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))

Compiler

Compiled 108 to 65 computations (39.8% saved)

simplify110.0ms (1.2%)

Memory

3.3MiB live, 42.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) a1 a1)
✓	cost-diff	0	(.f64 a1 (fma.f64 (.f64 #s(literal -1/2 binary64) (*.f64 th th)) a1 a1))
✓	cost-diff	0	(/.f64 (.f64 a1 (fma.f64 (.f64 #s(literal -1/2 binary64) (*.f64 th th)) a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	1472	(+.f64 (/.f64 (.f64 a1 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 a1 a1)
✓	cost-diff	0	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	1472	(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
✓	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) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
✓	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	1472	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))

Rules

960×	`lower-*.f32`
944×	`lower-*.f64`
832×	`lower-fma.f32`
830×	`lower-fma.f64`
466×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	250
0	46	250
1	85	244
2	140	244
3	228	244
4	297	244
5	458	244
6	689	244
7	755	244
8	778	244
9	778	244
10	862	242
11	917	237
12	960	235
13	982	235
14	986	235
0	986	231

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

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

localize248.0ms (2.7%)

Memory

-4.6MiB live, 115.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	97.0%	(+.f64 (/.f64 (.f64 a1 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
✓	accuracy	96.6%	(.f64 a1 (fma.f64 (.f64 #s(literal -1/2 binary64) (*.f64 th th)) a1 a1))
✓	accuracy	90.0%	(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) a1 a1)
✓	accuracy	99.7%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
✓	accuracy	99.6%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.2%	(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
✓	accuracy	98.9%	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.9%	(.f64 (cos.f64 th) (.f64 a2 a2))
✓	accuracy	99.7%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
✓	accuracy	99.6%	(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	98.9%	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.7%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
✓	accuracy	99.6%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.4%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	98.9%	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Samples

114.0ms

256×

valid

Compiler

Compiled 256 to 28 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 11.0ms (35.4% of total)

ival-div: 7.0ms (22.5% of total)

ival-cos: 6.0ms (19.3% of total)

ival-add: 5.0ms (16.1% of total)

ival-sqrt: 2.0ms (6.4% of total)

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

exact: 0.0ms (0% of total)

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

series38.0ms (0.4%)

Memory

5.4MiB live, 43.9MiB allocated

Counts

12 → 288

Calls

Call 1

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

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

Calls

72 calls:

Time	Variable		Point	Expression
4.0ms	a1	@	-inf	(+ (/ (* a1 (+ (* (* -1/2 (* th th)) a1) a1)) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
2.0ms	a2	@	0	(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (* a2 a2) (sqrt 2)))
1.0ms	a2	@	0	(+ (/ (* a1 (+ (* (* -1/2 (* th th)) a1) a1)) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
1.0ms	a1	@	0	(+ (* (* -1/2 (* th th)) a1) a1)
1.0ms	a1	@	inf	(+ (* (* -1/2 (* th th)) a1) a1)

rewrite543.0ms (5.9%)

Memory

14.4MiB live, 406.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 026×	`lower-fma.f32`
8 024×	`lower-fma.f64`
5 058×	`lower-/.f32`
5 048×	`lower-/.f64`
3 982×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	123
0	44	123
1	157	119
2	1487	119
0	8700	116

Stop Event

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

Counts

12 → 704

Calls

Call 1

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

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

simplify613.0ms (6.6%)

Memory

29.9MiB live, 785.3MiB allocated

Algorithm

1×	egg-herbie

Rules

23 578×	`lower-fma.f64`
23 578×	`lower-fma.f32`
4 268×	`lower-*.f64`
4 268×	`lower-*.f32`
3 830×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	3897
1	527	3887
2	1735	3669
3	4113	3608
4	6886	3608
0	8067	3403

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 287

Calls

Call 1

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

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

simplify153.0ms (1.7%)

Memory

-40.8MiB live, 364.5MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1297	19633
1	1298	19633
0	1298	19633

Stop Event

1×	saturated
1×	saturated

Counts

704 → 0

Calls

Call 1

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

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

eval76.0ms (0.8%)

Memory: 9.2MiB live, 202.2MiB allocated
Compiler: Compiled 14 639 to 157 computations (98.9% saved)

prune24.0ms (0.3%)

Memory

33.4MiB live, 73.1MiB allocated

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	726	16	742
Fresh	0	0	0
Picked	2	2	4
Done	1	0	1
Total	729	18	747

Accuracy

99.7%

Counts

747 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.0%	(fma.f64 (.f64 th th) (/.f64 (.f64 a2 (.f64 (cos.f64 th) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 th th))) (/.f64 (.f64 a1 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) a1) a1)) (sqrt.f64 #s(literal 2 binary64))))
	59.1%	(fma.f64 (.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 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
	11.6%	(/.f64 (.f64 th (.f64 th (.f64 #s(literal -1/2 binary64) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
▶	99.2%	(/.f64 (.f64 a2 (.f64 (cos.f64 th) a2)) (sqrt.f64 #s(literal 2 binary64)))
	68.9%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
▶	14.6%	(/.f64 (.f64 a1 (fma.f64 #s(literal -1/2 binary64) (.f64 (*.f64 th th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)))
▶	13.2%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
▶	58.0%	(+.f64 (/.f64 (.f64 a1 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
▶	98.5%	(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	69.0%	(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
✓	98.5%	(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
	52.5%	(+.f64 (.f64 (fma.f64 (.f64 th th) (.f64 (/.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 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1)) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
✓	99.5%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	59.8%	(.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 a1 a1 (.f64 a2 a2))))
	93.5%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) (cos.f64 th)))
	38.6%	(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (.f64 a1 a1)) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))))
	38.5%	(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) (cos.f64 th)))
	69.0%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))

Compiler

Compiled 667 to 417 computations (37.5% saved)

simplify34.0ms (0.4%)

Memory

-34.2MiB live, 89.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

756×	`lower-*.f32`
738×	`lower-*.f64`
482×	`lower-fma.f32`
478×	`lower-fma.f64`
360×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	210
0	51	210
1	90	210
2	135	210
3	218	210
4	264	210
5	414	210
6	626	210
7	690	210
8	713	210
9	713	210
10	733	210
0	733	208

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize104.0ms (1.1%)

Memory

1.9MiB live, 284.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (cos.f64 th) (.f64 a2 a2))
✓	accuracy	99.6%	(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.6%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.2%	(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	99.6%	(/.f64 (.f64 a1 (fma.f64 (.f64 #s(literal -1/2 binary64) (*.f64 th th)) a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	96.6%	(.f64 a1 (fma.f64 (.f64 #s(literal -1/2 binary64) (*.f64 th th)) a1 a1))
✓	accuracy	93.9%	(+.f64 (/.f64 (.f64 a1 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	90.0%	(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 th th)) a1 a1)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 (.f64 a1 (fma.f64 #s(literal -1/2 binary64) (.f64 (*.f64 th th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	96.6%	(.f64 a1 (fma.f64 #s(literal -1/2 binary64) (.f64 (*.f64 th th) a1) a1))
✓	accuracy	89.0%	(.f64 (.f64 th th) a1)
✓	accuracy	100.0%	(*.f64 a1 a1)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.9%	(.f64 a2 (.f64 (cos.f64 th) a2))
✓	accuracy	99.8%	(*.f64 (cos.f64 th) a2)
✓	accuracy	99.6%	(/.f64 (.f64 a2 (.f64 (cos.f64 th) a2)) (sqrt.f64 #s(literal 2 binary64)))

Samples

56.0ms

256×

valid

Compiler

Compiled 219 to 31 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 17.0ms (45.4% of total)

ival-div: 8.0ms (21.4% of total)

ival-cos: 6.0ms (16% of total)

ival-add: 4.0ms (10.7% of total)

ival-sqrt: 2.0ms (5.3% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Memory

-5.8MiB live, 33.0MiB allocated

Counts

17 → 372

Calls

Call 1

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

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

Calls

93 calls:

Time	Variable		Point	Expression
0.0ms	th	@	inf	(+ (/ (* a1 (+ (* (* -1/2 (* th th)) a1) a1)) (sqrt 2)) (/ (* a2 a2) (sqrt 2)))
0.0ms	a1	@	inf	(/ (* a1 (+ (* -1/2 (* (* th th) a1)) a1)) (sqrt 2))
0.0ms	a2	@	0	(* (cos th) a2)
0.0ms	th	@	inf	(* (cos th) a2)
0.0ms	a1	@	-inf	(/ (* a1 (+ (* -1/2 (* (* th th) a1)) a1)) (sqrt 2))

rewrite355.0ms (3.8%)

Memory

4.5MiB live, 959.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 538×	`lower-fma.f32`
9 534×	`lower-fma.f64`
4 564×	`lower-*.f32`
4 546×	`lower-*.f64`
4 362×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	142
0	51	142
1	183	138
2	1329	138
0	8526	136

Stop Event

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

Counts

17 → 728

Calls

Call 1

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

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

simplify419.0ms (4.5%)

Memory

45.1MiB live, 913.6MiB allocated

Algorithm

1×	egg-herbie

Rules

18 136×	`lower-fma.f64`
18 136×	`lower-fma.f32`
5 334×	`lower-*.f64`
5 334×	`lower-*.f32`
2 652×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	4152
1	459	4152
2	1412	3998
3	3993	3893
4	7329	3893
0	8340	3658

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 370

Calls

Call 1

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

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

simplify145.0ms (1.6%)

Memory

-21.9MiB live, 348.9MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1155	18768
1	1156	18768
0	1156	18768

Stop Event

1×	saturated
1×	saturated

Counts

728 → 0

Calls

Call 1

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

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

eval82.0ms (0.9%)

Memory: 21.6MiB live, 255.7MiB allocated
Compiler: Compiled 11 929 to 138 computations (98.8% saved)

prune26.0ms (0.3%)

Memory

-12.1MiB live, 77.5MiB allocated

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	805	7	812
Fresh	2	9	11
Picked	2	3	5
Done	0	2	2
Total	809	21	830

Accuracy

99.8%

Counts

830 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.0%	(fma.f64 (.f64 th th) (/.f64 (.f64 a2 (.f64 (cos.f64 th) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 th th))) (/.f64 (.f64 a1 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) a1) a1)) (sqrt.f64 #s(literal 2 binary64))))
	30.9%	(fma.f64 (.f64 th th) (/.f64 (.f64 a2 a2) (.f64 th (.f64 th (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (.f64 (fma.f64 th (.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
	11.6%	(/.f64 (.f64 th (.f64 th (.f64 #s(literal -1/2 binary64) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
✓	99.2%	(/.f64 (.f64 a2 (.f64 (cos.f64 th) a2)) (sqrt.f64 #s(literal 2 binary64)))
▶	68.9%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
✓	13.2%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
▶	59.1%	(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 th (.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
✓	98.5%	(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	69.0%	(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
✓	98.5%	(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
	52.5%	(+.f64 (.f64 (fma.f64 (.f64 th th) (.f64 (/.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 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1)) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
✓	99.5%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	59.8%	(.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 a1 a1 (.f64 a2 a2))))
▶	93.5%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) (cos.f64 th)))
	38.6%	(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (.f64 a1 a1)) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))))
▶	51.9%	(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (.f64 a1 a1))) #s(literal 1 binary64)))
	38.5%	(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) (cos.f64 th)))
	69.0%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (.f64 a1 a1)))
	58.0%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) a1) a1) (.f64 a2 a2)))
	11.6%	(.f64 (.f64 th (.f64 th (.f64 a1 a1))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
▶	59.7%	(.f64 (.f64 a2 a2) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 757 to 477 computations (37% saved)

simplify504.0ms (5.4%)

Memory

1.4MiB live, 866.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 a1 a1)
✓	cost-diff	0	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	1344	(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (.f64 a1 a1))) #s(literal 1 binary64)))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 a1 a1)
✓	cost-diff	0	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	768	(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 th (.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 th (*.f64 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	(.f64 (.f64 a2 a2) (/.f64 (fma.f64 th (*.f64 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 a2 a2)
✓	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 a2 a2)
✓	cost-diff	0	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	1024	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) (cos.f64 th)))

Rules

25 880×	`lower-fma.f32`
25 874×	`lower-fma.f64`
7 864×	`lower-*.f32`
7 848×	`lower-*.f64`
2 576×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	232
0	49	230
1	100	230
2	239	230
3	724	230
4	2653	224
5	3077	223
6	3417	223
7	3842	223
8	4783	223
9	6631	223
10	7394	223
0	8094	220

Stop Event

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

Calls

Call 1

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

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

localize114.0ms (1.2%)

Memory

-2.7MiB live, 191.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	95.7%	(.f64 a2 (/.f64 a2 (.f64 a1 a1)))
✓	accuracy	89.8%	(/.f64 a2 (*.f64 a1 a1))
✓	accuracy	62.4%	(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (.f64 a1 a1))) #s(literal 1 binary64)))
✓	accuracy	99.7%	(/.f64 (.f64 (fma.f64 th (.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.6%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	98.0%	(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 th (.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	97.4%	(.f64 (fma.f64 th (.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 a2 a2))
✓	accuracy	100.0%	(*.f64 a2 a2)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.0%	(/.f64 (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	97.2%	(.f64 (.f64 a2 a2) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	100.0%	(*.f64 a2 a2)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) (cos.f64 th))
✓	accuracy	99.8%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) (cos.f64 th)))
✓	accuracy	99.6%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	89.3%	(/.f64 a1 (*.f64 a2 a2))

Samples

62.0ms

256×

valid

Compiler

Compiled 245 to 31 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-div: 14.0ms (33.6% of total)

ival-mult: 14.0ms (33.6% of total)

ival-add: 6.0ms (14.4% of total)

ival-cos: 5.0ms (12% of total)

ival-sqrt: 2.0ms (4.8% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (0.4%)

Memory

-14.2MiB live, 67.9MiB allocated

Counts

15 → 336

Calls

Call 1

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

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

Calls

84 calls:

Time	Variable		Point	Expression
7.0ms	a2	@	0	(/ a2 (* a1 a1))
1.0ms	th	@	inf	(* (/ (* a1 a1) (sqrt 2)) (+ (* (cos th) (* a2 (/ a2 (* a1 a1)))) 1))
1.0ms	th	@	-inf	(* (/ (* a1 a1) (sqrt 2)) (+ (* (cos th) (* a2 (/ a2 (* a1 a1)))) 1))
1.0ms	th	@	inf	(* (/ (* a2 a2) (sqrt 2)) (+ (* a1 (/ a1 (* a2 a2))) (cos th)))
1.0ms	th	@	inf	(* (* a2 a2) (/ (+ (* th (* th -1/2)) 1) (sqrt 2)))

rewrite339.0ms (3.7%)

Memory

51.5MiB live, 439.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 706×	`lower-fma.f32`
5 700×	`lower-fma.f64`
5 010×	`lower-/.f32`
4 998×	`lower-/.f64`
4 062×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	142
0	49	142
1	190	140
2	1678	134
0	8651	133

Stop Event

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

Counts

15 → 973

Calls

Call 1

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

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

simplify435.0ms (4.7%)

Memory

-20.6MiB live, 574.5MiB allocated

Algorithm

1×	egg-herbie

Rules

19 064×	`lower-fma.f64`
19 064×	`lower-fma.f32`
5 652×	`lower-*.f64`
5 652×	`lower-*.f32`
3 190×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	4157
1	352	4115
2	1053	3920
3	4093	3627
4	5894	3627
0	8219	3389

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

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

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

simplify194.0ms (2.1%)

Memory

16.9MiB live, 247.0MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1775	28608
1	1776	28608
0	1776	28608

Stop Event

1×	saturated
1×	saturated

Counts

973 → 0

Calls

Call 1

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

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

eval76.0ms (0.8%)

Memory: 17.1MiB live, 128.8MiB allocated
Compiler: Compiled 12 661 to 88 computations (99.3% saved)

prune28.0ms (0.3%)

Memory

-8.0MiB live, 41.4MiB allocated

Pruning

24 alts after pruning (17 fresh and 7 done)

	Pruned	Kept	Total
New	806	10	816
Fresh	4	7	11
Picked	2	3	5
Done	1	4	5
Total	813	24	837

Accuracy

99.8%

Counts

837 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.0%	(fma.f64 (.f64 th th) (/.f64 (.f64 a2 (.f64 (cos.f64 th) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 th th))) (/.f64 (.f64 a1 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) a1) a1)) (sqrt.f64 #s(literal 2 binary64))))
	30.9%	(fma.f64 (.f64 th th) (/.f64 (.f64 a2 a2) (.f64 th (.f64 th (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (.f64 (fma.f64 th (.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
	98.5%	(/.f64 (fma.f64 (.f64 a2 a2) (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
	69.0%	(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
	99.1%	(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
	15.6%	(/.f64 (.f64 th (.f64 th (.f64 (.f64 a2 a2) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
✓	99.2%	(/.f64 (.f64 a2 (.f64 (cos.f64 th) a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	68.9%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
✓	13.2%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
✓	98.5%	(+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
	52.5%	(+.f64 (.f64 (fma.f64 (.f64 th th) (.f64 (/.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 (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 a1 a1)) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
✓	99.5%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	59.8%	(.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 a1 a1 (.f64 a2 a2))))
	63.2%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)))
	99.2%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
	48.0%	(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (.f64 a1 a1)) #s(literal 1 binary64)))
✓	51.9%	(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (.f64 a1 a1))) #s(literal 1 binary64)))
	38.5%	(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) (cos.f64 th)))
	58.0%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) a1) a1) (.f64 a2 a2)))
	11.6%	(.f64 (.f64 th (.f64 th (.f64 a1 a1))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓	59.7%	(.f64 (.f64 a2 a2) (/.f64 (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
	14.8%	(.f64 (.f64 a2 a2) (/.f64 (.f64 th (.f64 th #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
	68.9%	(.f64 (.f64 a2 a2) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
	59.7%	(.f64 (.f64 a2 a2) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 th th) #s(literal 1 binary64))))

Compiler

Compiled 1 035 to 397 computations (61.6% saved)

regimes89.0ms (1%)

Memory

0.7MiB live, 115.5MiB allocated

Counts

38 → 1

Calls

Call 1

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

Calls

8 calls:

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

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)

regimes85.0ms (0.9%)

Memory

-5.9MiB live, 110.6MiB allocated

Counts

36 → 1

Calls

Call 1

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

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

Calls

8 calls:

12.0ms	(*.f64 a2 a2)
11.0ms	a2
11.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
10.0ms	a1
10.0ms	th

Results

Accuracy	Segments	Branch
99.2%	1	`a1`
99.2%	1	`a2`
99.2%	1	`th`
99.2%	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)))`
99.2%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.2%	1	`(cos.f64 th)`
99.2%	1	`(*.f64 a1 a1)`
99.2%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes58.0ms (0.6%)

Memory

-0.3MiB live, 77.6MiB allocated

Counts

23 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
99.2%	1	`a1`
99.2%	1	`a2`
99.2%	1	`th`
99.2%	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)))`
99.2%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.2%	1	`(cos.f64 th)`
99.2%	1	`(*.f64 a1 a1)`
99.2%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes55.0ms (0.6%)

Memory

-1.0MiB live, 75.8MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

8.0ms	a1
7.0ms	(cos.f64 th)
7.0ms	th
7.0ms	a2
6.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
69.0%	1	`a1`
69.0%	1	`a2`
69.0%	1	`th`
77.7%	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)))`
77.3%	2	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
77.3%	2	`(cos.f64 th)`
69.0%	1	`(*.f64 a1 a1)`
69.0%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes6.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

16 → 2

Calls

Call 1

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

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

Calls

1 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)))

Results

Accuracy	Segments	Branch
77.7%	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 22 to 12 computations (45.5% saved)

regimes22.0ms (0.2%)

Memory

-5.0MiB live, 33.7MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
69.0%	1	`a1`
69.0%	1	`(*.f64 a1 a1)`
69.0%	1	`th`
69.0%	1	`a2`
69.0%	1	`(*.f64 a2 a2)`
69.0%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
69.0%	1	`(cos.f64 th)`
69.0%	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)

regimes15.0ms (0.2%)

Memory

26.9MiB live, 26.9MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
68.9%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
68.9%	1	`a1`
68.9%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
68.9%	1	`(cos.f64 th)`
68.9%	1	`(*.f64 a1 a1)`
68.9%	1	`th`
68.9%	1	`a2`
68.9%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes12.0ms (0.1%)

Memory

-19.1MiB live, 20.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

8 calls:

3.0ms	(*.f64 a2 a2)
1.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
1.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
1.0ms	a2
1.0ms	th

Results

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

Compiler

Compiled 59 to 40 computations (32.2% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.986537841034542e-225	-5.88382536176697e-279

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.986537841034542e-225	-5.88382536176697e-279

Compiler

Compiled 25 to 18 computations (28% saved)

simplify7.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
4×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	148
1	40	148

Stop Event

1×

saturated

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 a2 (.f64 (cos.f64 th) a2)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(if (<=.f64 (+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) #s(literal -3334007216439927/3334007216439927137039925895360628898572379161157954080198128905882018618908816035760716100435777145371464955296716620222944400827059682540181678026165415023047578789757007279231539142955907012364482508067943300990845374018738230645581938688 binary64)) (.f64 (.f64 a2 a2) (/.f64 (.f64 th (.f64 th #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(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 -3334007216439927/3334007216439927137039925895360628898572379161157954080198128905882018618908816035760716100435777145371464955296716620222944400827059682540181678026165415023047578789757007279231539142955907012364482508067943300990845374018738230645581938688 binary64)) (.f64 (.f64 a2 a2) (/.f64 (.f64 th (.f64 th #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 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 a2 (.f64 (cos.f64 th) a2)) (sqrt.f64 #s(literal 2 binary64)))
(.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))))
(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 -3334007216439927/3334007216439927137039925895360628898572379161157954080198128905882018618908816035760716100435777145371464955296716620222944400827059682540181678026165415023047578789757007279231539142955907012364482508067943300990845374018738230645581938688 binary64)) (.f64 (.f64 a2 a2) (/.f64 (.f64 th (.f64 th #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(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 -3334007216439927/3334007216439927137039925895360628898572379161157954080198128905882018618908816035760716100435777145371464955296716620222944400827059682540181678026165415023047578789757007279231539142955907012364482508067943300990845374018738230645581938688 binary64)) (.f64 (.f64 a2 a2) (/.f64 (.f64 th (.f64 th #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
(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 -3334007216439927/3334007216439927137039925895360628898572379161157954080198128905882018618908816035760716100435777145371464955296716620222944400827059682540181678026165415023047578789757007279231539142955907012364482508067943300990845374018738230645581938688 binary64)) (.f64 (.f64 a2 a2) (/.f64 (.f64 th (.f64 th #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))

soundness1.3s (13.9%)

Memory

25.9MiB live, 716.0MiB allocated

Rules

23 578×	`lower-fma.f64`
23 578×	`lower-fma.f32`
22 970×	`lower-fma.f64`
22 970×	`lower-fma.f32`
19 064×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	4157
1	352	4115
2	1053	3920
3	4093	3627
4	5894	3627
0	8219	3389
0	161	3897
1	527	3887
2	1735	3669
3	4113	3608
4	6886	3608
0	8067	3403
0	81	730
1	223	730
2	716	686
3	2049	661
4	3458	659
5	6896	655
0	8040	632
0	149	4152
1	459	4152
2	1412	3998
3	3993	3893
4	7329	3893
0	8340	3658

Stop Event

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

Compiler

Compiled 473 to 251 computations (46.9% saved)

preprocess177.0ms (1.9%)

Memory

-10.5MiB live, 193.7MiB allocated

Remove

(sort a1 a2)

(abs a1)

(abs a2)

(abs th)

Compiler

Compiled 874 to 372 computations (57.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	25	250
0	46	250
1	85	244
2	140	244
3	228	244
4	297	244
5	458	244
6	689	244
7	755	244
8	778	244
9	778	244
10	862	242
11	917	237
12	960	235
13	982	235
14	986	235
0	986	231

Iter	Nodes	Cost
0	27	210
0	51	210
1	90	210
2	135	210
3	218	210
4	264	210
5	414	210
6	626	210
7	690	210
8	713	210
9	713	210
10	733	210
0	733	208

Iter	Nodes	Cost
0	25	250
0	46	250
1	85	244
2	140	244
3	228	244
4	297	244
5	458	244
6	689	244
7	755	244
8	778	244
9	778	244
10	862	242
11	917	237
12	960	235
13	982	235
14	986	235
0	986	231

Iter	Nodes	Cost
0	27	210
0	51	210
1	90	210
2	135	210
3	218	210
4	264	210
5	414	210
6	626	210
7	690	210
8	713	210
9	713	210
10	733	210
0	733	208

analyze0.0ms (0%)

sample1.3s (14.1%)

preprocess142.0ms (1.5%)

explain160.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize157.0ms (1.7%)

series14.0ms (0.2%)

rewrite194.0ms (2.1%)

simplify567.0ms (6.1%)

simplify103.0ms (1.1%)

eval17.0ms (0.2%)

prune59.0ms (0.6%)

simplify110.0ms (1.2%)

localize248.0ms (2.7%)

series38.0ms (0.4%)

rewrite543.0ms (5.9%)

simplify613.0ms (6.6%)

simplify153.0ms (1.7%)

eval76.0ms (0.8%)

prune24.0ms (0.3%)

simplify34.0ms (0.4%)

localize104.0ms (1.1%)

series12.0ms (0.1%)

rewrite355.0ms (3.8%)

simplify419.0ms (4.5%)

simplify145.0ms (1.6%)

eval82.0ms (0.9%)

prune26.0ms (0.3%)

simplify504.0ms (5.4%)

localize114.0ms (1.2%)

series34.0ms (0.4%)

rewrite339.0ms (3.7%)

simplify435.0ms (4.7%)

simplify194.0ms (2.1%)

eval76.0ms (0.8%)

prune28.0ms (0.3%)

regimes89.0ms (1%)

regimes85.0ms (0.9%)

regimes58.0ms (0.6%)

regimes55.0ms (0.6%)

regimes6.0ms (0.1%)

regimes22.0ms (0.2%)

regimes15.0ms (0.2%)

regimes12.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

soundness1.3s (13.9%)

preprocess177.0ms (1.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	25	250
0	46	250
1	85	244
2	140	244
3	228	244
4	297	244
5	458	244
6	689	244
7	755	244
8	778	244
9	778	244
10	862	242
11	917	237
12	960	235
13	982	235
14	986	235
0	986	231

Iter	Nodes	Cost
0	27	210
0	51	210
1	90	210
2	135	210
3	218	210
4	264	210
5	414	210
6	626	210
7	690	210
8	713	210
9	713	210
10	733	210
0	733	208