Metrics for Migdal et al, Equation (64)

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

sample1.6s (15.2%)

Memory

1.7MiB live, 1 245.2MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 954.0ms

ival-cos: 402.0ms (42.2% of total)

ival-mult: 194.0ms (20.3% of total)

ival-add: 123.0ms (12.9% of total)

ival-div: 114.0ms (12% of total)

ival-sqrt: 106.0ms (11.1% of total)

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

exact: 6.0ms (0.6% of total)

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

Bogosity

preprocess137.0ms (1.3%)

Memory

13.0MiB live, 51.5MiB 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)

explain219.0ms (2%)

Memory

13.1MiB live, 257.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
256	-	256	(1.2838532228754467e-218 3.491404385255323e-5 3.624148887399899e-121)	`(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))`
256	-	256	(1.2838532228754467e-218 3.491404385255323e-5 3.624148887399899e-121)	`(+.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)))`
256	-	256	(1.2838532228754467e-218 3.491404385255323e-5 3.624148887399899e-121)	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
168	-	168	(1.2838532228754467e-218 3.491404385255323e-5 3.624148887399899e-121)	`(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))`
168	-	168	(1.2838532228754467e-218 3.491404385255323e-5 3.624148887399899e-121)	`(*.f64 a2 a2)`
0	-	0	-	`a1`
0	-	0	-	`(*.f64 a1 a1)`
0	-	0	-	`(sqrt.f64 #s(literal 2 binary64))`
0	-	0	-	`th`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(cos.f64 th)`
0	-	0	-	`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

95.0ms

512×

valid

Compiler

Compiled 219 to 64 computations (70.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-div: 26.0ms (33.8% of total)

ival-sqrt: 25.0ms (32.5% of total)

ival-cos: 12.0ms (15.6% of total)

ival-mult: 11.0ms (14.3% of total)

ival-add: 2.0ms (2.6% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 22 to 12 computations (45.5% saved)

simplify15.0ms (0.1%)

Memory

-29.4MiB live, 9.8MiB 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

localize41.0ms (0.4%)

Memory

31.5MiB live, 70.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	41.7%	(*.f64 a2 a2)
✓	accuracy	12.3%	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	5.8%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
✓	accuracy	5.0%	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))

Samples

29.0ms

256×

valid

Compiler

Compiled 117 to 26 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-cos: 6.0ms (30.4% of total)

ival-div: 5.0ms (25.4% of total)

ival-mult: 5.0ms (25.4% of total)

ival-sqrt: 2.0ms (10.1% of total)

ival-add: 1.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

series52.0ms (0.5%)

Memory

-34.3MiB live, 45.7MiB allocated

Counts

5 → 96

Calls

Call 1

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

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

Calls

24 calls:

Time	Variable		Point	Expression
17.0ms	th	@	inf	(cos th)
12.0ms	th	@	0	(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
3.0ms	a2	@	inf	(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
2.0ms	th	@	-inf	(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
2.0ms	th	@	inf	(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))

Compiler

Compiled 327 to 215 computations (34.3% saved)

rewrite384.0ms (3.5%)

Memory

6.9MiB live, 614.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
0	20	32
1	58	32
2	411	32
3	7331	32
0	8434	31

Stop Event

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

Counts

5 → 295

Calls

Call 1

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

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

simplify509.0ms (4.7%)

Memory

25.3MiB live, 1 084.6MiB allocated

Algorithm

1×	egg-herbie

Rules

22 992×	`lower-fma.f64`
22 992×	`lower-fma.f32`
6 272×	`lower-*.f64`
6 272×	`lower-*.f32`
4 840×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	1194
1	291	1062
2	960	990
3	2838	919
4	6076	893
5	7950	893
0	8011	875

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 92

Calls

Call 1

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

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

eval67.0ms (0.6%)

Memory: -10.8MiB live, 145.2MiB allocated
Compiler: Compiled 13 511 to 936 computations (93.1% saved)

prune76.0ms (0.7%)

Memory

33.4MiB live, 220.5MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	424	18	442
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	425	18	443

Accuracy

100.0%

Counts

443 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) a2 (.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
▶	37.5%	(fma.f64 a1 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
▶	99.6%	(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
▶	99.6%	(/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
	18.1%	(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))
	18.0%	(/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (cos.f64 th)) (.f64 (fma.f64 a1 (.f64 a1 (.f64 a1 a1)) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
▶	26.7%	(/.f64 (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (cos.f64 th)) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
	99.6%	(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
	52.2%	(/.f64 (.f64 a2 (.f64 a2 (*.f64 a2 (cos.f64 th)))) (sqrt.f64 #s(literal 2 binary64)))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2)))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))))
	97.1%	(+.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)))
	38.5%	(.f64 (fma.f64 (.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 a1 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
	99.6%	(.f64 (fma.f64 (cos.f64 th) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1)))) #s(literal 1/2 binary64))
	99.6%	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
▶	99.6%	(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
	99.6%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
	20.2%	(.f64 (.f64 a1 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 798 to 460 computations (42.4% saved)

simplify180.0ms (1.7%)

Memory

1.6MiB live, 371.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 a1 a1 (*.f64 a2 a2))
✓	cost-diff	0	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
✓	cost-diff	0	(.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (cos.f64 th))
✓	cost-diff	2048	(/.f64 (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (cos.f64 th)) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(*.f64 a2 a2)
✓	cost-diff	0	(fma.f64 a1 a1 (*.f64 a2 a2))
✓	cost-diff	0	(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	1088	(/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
✓	cost-diff	0	(*.f64 a2 a2)
✓	cost-diff	0	(fma.f64 a1 a1 (*.f64 a2 a2))
✓	cost-diff	0	(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
✓	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	(fma.f64 a1 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
✓	cost-diff	0	(*.f64 a2 a2)
✓	cost-diff	0	(fma.f64 a1 a1 (*.f64 a2 a2))
✓	cost-diff	384	(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))

Rules

4 642×	`lower-*.f32`
4 626×	`lower-*.f64`
3 364×	`lower-fma.f32`
3 360×	`lower-fma.f64`
1 398×	`lower-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	262
0	50	238
1	91	237
2	254	237
3	1479	237
4	6809	237
0	8142	237

Stop Event

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

Calls

Call 1

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

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

localize109.0ms (1%)

Memory

-3.0MiB live, 315.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	3.5%	(/.f64 (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (cos.f64 th)) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	2.0%	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
✓	accuracy	1.2%	(-.f64 a1 a2)
✓	accuracy	1.2%	(.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	13.0%	(cos.f64 th)
✓	accuracy	6.9%	(fma.f64 a1 a1 (*.f64 a2 a2))
✓	accuracy	4.3%	(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	4.1%	(/.f64 #s(literal 1 binary64) (cos.f64 th))
✓	accuracy	37.5%	(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
✓	accuracy	13.0%	(cos.f64 th)
✓	accuracy	6.9%	(fma.f64 a1 a1 (*.f64 a2 a2))
✓	accuracy	4.3%	(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	20.8%	(.f64 a2 (.f64 a2 a2))
✓	accuracy	20.8%	(/.f64 (.f64 a2 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	6.7%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	3.9%	(fma.f64 a1 (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	18.9%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
✓	accuracy	13.0%	(cos.f64 th)
✓	accuracy	6.9%	(fma.f64 a1 a1 (*.f64 a2 a2))
✓	accuracy	3.2%	(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))

Samples

59.0ms

256×

valid

Compiler

Compiled 542 to 57 computations (89.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 13.0ms (33.4% of total)

ival-div: 12.0ms (30.9% of total)

ival-cos: 6.0ms (15.4% of total)

ival-add: 3.0ms (7.7% of total)

ival-sqrt: 3.0ms (7.7% of total)

ival-sub: 1.0ms (2.6% of total)

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

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

exact: 0.0ms (0% of total)

series85.0ms (0.8%)

Memory

-3.2MiB live, 235.1MiB allocated

Counts

20 → 420

Calls

Call 1

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

Outputs
#<alt (/ (* (pow a2 4) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a1 5) (cos th)) (sqrt 2))>
#<alt (* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))>
#<alt (* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))>
#<alt (* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))>
#<alt (* -1 (/ (* (pow a1 5) (cos th)) (sqrt 2)))>
#<alt (* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (/ (* (pow a1 4) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a2 5) (cos th)) (sqrt 2))>
#<alt (* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))>
#<alt (* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))>
#<alt (* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))>
#<alt (* -1 (/ (* (pow a2 5) (cos th)) (sqrt 2)))>
#<alt (* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))>
#<alt (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (pow a2 2)>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (pow a1 3)>
#<alt (* (pow a1 3) (+ 1 (/ (pow a2 3) (pow a1 3))))>
#<alt (* (pow a1 3) (+ 1 (/ (pow a2 3) (pow a1 3))))>
#<alt (* (pow a1 3) (+ 1 (/ (pow a2 3) (pow a1 3))))>
#<alt (* -1 (pow a1 3))>
#<alt (* -1 (* (pow a1 3) (+ 1 (* -1 (/ (pow a2 3) (pow a1 3))))))>
#<alt (* -1 (* (pow a1 3) (+ 1 (* -1 (/ (pow a2 3) (pow a1 3))))))>
#<alt (* -1 (* (pow a1 3) (+ 1 (* -1 (/ (pow a2 3) (pow a1 3))))))>
#<alt (pow a1 2)>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (pow a2 3)>
#<alt (* (pow a2 3) (+ 1 (/ (pow a1 3) (pow a2 3))))>
#<alt (* (pow a2 3) (+ 1 (/ (pow a1 3) (pow a2 3))))>
#<alt (* (pow a2 3) (+ 1 (/ (pow a1 3) (pow a2 3))))>
#<alt (* -1 (pow a2 3))>
#<alt (* -1 (* (pow a2 3) (+ 1 (* -1 (/ (pow a1 3) (pow a2 3))))))>
#<alt (* -1 (* (pow a2 3) (+ 1 (* -1 (/ (pow a1 3) (pow a2 3))))))>
#<alt (* -1 (* (pow a2 3) (+ 1 (* -1 (/ (pow a1 3) (pow a2 3))))))>
#<alt a2>
#<alt a2>
#<alt a2>
#<alt a2>
#<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 (sqrt 2)>
#<alt (+ (sqrt 2) (* 1/2 (* (pow th 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))>
#<alt (+ (sqrt 2) (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (sqrt 2)) (+ (* 1/48 (sqrt 2)) (* 1/2 (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2)))))))) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (/ (pow a1 3) (sqrt 2))>
#<alt (* (pow a1 3) (+ (/ 1 (sqrt 2)) (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))))>
#<alt (* (pow a1 3) (+ (/ 1 (sqrt 2)) (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))))>
#<alt (* (pow a1 3) (+ (/ 1 (sqrt 2)) (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))))>
#<alt (* -1 (/ (pow a1 2) (sqrt 2)))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2))))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2))))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2))))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (/ (pow a2 3) (sqrt 2))>
#<alt (* (pow a2 3) (+ (/ 1 (sqrt 2)) (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))))>
#<alt (* (pow a2 3) (+ (/ 1 (sqrt 2)) (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))))>
#<alt (* (pow a2 3) (+ (/ 1 (sqrt 2)) (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))))>
#<alt (* -1 (/ (pow a2 2) (sqrt 2)))>
#<alt (* (pow a2 2) (- (/ (pow a1 2) (* (pow a2 2) (sqrt 2))) (/ 1 (sqrt 2))))>
#<alt (* (pow a2 2) (- (/ (pow a1 2) (* (pow a2 2) (sqrt 2))) (/ 1 (sqrt 2))))>
#<alt (* (pow a2 2) (- (/ (pow a1 2) (* (pow a2 2) (sqrt 2))) (/ 1 (sqrt 2))))>
#<alt (/ a1 (sqrt 2))>
#<alt (/ a1 (sqrt 2))>
#<alt (/ a1 (sqrt 2))>
#<alt (/ a1 (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt a1>
#<alt a1>
#<alt a1>
#<alt a1>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (/ (* (pow a2 4) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a1 5) (cos th)) (sqrt 2))>
#<alt (* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))>
#<alt (* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))>
#<alt (* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))>
#<alt (* -1 (/ (* (pow a1 5) (cos th)) (sqrt 2)))>
#<alt (* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (/ (* (pow a1 4) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a2 5) (cos th)) (sqrt 2))>
#<alt (* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))>
#<alt (* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))>
#<alt (* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))>
#<alt (* -1 (/ (* (pow a2 5) (cos th)) (sqrt 2)))>
#<alt (* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))>
#<alt (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (/ (pow a1 3) (sqrt 2))>
#<alt (* (pow a1 3) (+ (/ 1 (sqrt 2)) (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))))>
#<alt (* (pow a1 3) (+ (/ 1 (sqrt 2)) (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))))>
#<alt (* (pow a1 3) (+ (/ 1 (sqrt 2)) (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))))>
#<alt (* -1 (/ (pow a1 3) (sqrt 2)))>
#<alt (* -1 (* (pow a1 3) (+ (* -1 (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))) (/ 1 (sqrt 2)))))>
#<alt (* -1 (* (pow a1 3) (+ (* -1 (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))) (/ 1 (sqrt 2)))))>
#<alt (* -1 (* (pow a1 3) (+ (* -1 (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))) (/ 1 (sqrt 2)))))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (/ (pow a2 3) (sqrt 2))>
#<alt (* (pow a2 3) (+ (/ 1 (sqrt 2)) (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))))>
#<alt (* (pow a2 3) (+ (/ 1 (sqrt 2)) (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))))>
#<alt (* (pow a2 3) (+ (/ 1 (sqrt 2)) (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))))>
#<alt (* -1 (/ (pow a2 3) (sqrt 2)))>
#<alt (* -1 (* (pow a2 3) (+ (* -1 (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))) (/ 1 (sqrt 2)))))>
#<alt (* -1 (* (pow a2 3) (+ (* -1 (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))) (/ 1 (sqrt 2)))))>
#<alt (* -1 (* (pow a2 3) (+ (* -1 (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))) (/ 1 (sqrt 2)))))>
#<alt (/ (* (pow a2 4) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a1 5) (cos th)) (sqrt 2))>
#<alt (* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))>
#<alt (* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))>
#<alt (* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))>
#<alt (* -1 (/ (* (pow a1 5) (cos th)) (sqrt 2)))>
#<alt (* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (/ (* (pow a1 4) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a2 5) (cos th)) (sqrt 2))>
#<alt (* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))>
#<alt (* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))>
#<alt (* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))>
#<alt (* -1 (/ (* (pow a2 5) (cos th)) (sqrt 2)))>
#<alt (* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))>
#<alt (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (pow a2 4) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a1 5) (cos th)) (sqrt 2))>
#<alt (* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))>
#<alt (* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))>
#<alt (* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))>
#<alt (* -1 (/ (* (pow a1 5) (cos th)) (sqrt 2)))>
#<alt (* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (/ (* (pow a1 4) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a2 5) (cos th)) (sqrt 2))>
#<alt (* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))>
#<alt (* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))>
#<alt (* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))>
#<alt (* -1 (/ (* (pow a2 5) (cos th)) (sqrt 2)))>
#<alt (* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))>
#<alt (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (* -1 (* (pow a2 7) (cos th)))>
#<alt (+ (* -1 (* (pow a2 7) (cos th))) (* a1 (* (cos th) (+ (* -1 (pow a2 6)) (pow a2 6)))))>
#<alt (+ (* -1 (* (pow a2 7) (cos th))) (* a1 (+ (* a1 (* (pow a2 5) (cos th))) (* (cos th) (+ (* -1 (pow a2 6)) (pow a2 6))))))>
#<alt (+ (* -1 (* (pow a2 7) (cos th))) (* a1 (+ (* a1 (+ (* -1 (* (pow a1 3) (* (pow a2 2) (cos th)))) (* (pow a2 5) (cos th)))) (* (cos th) (+ (* -1 (pow a2 6)) (pow a2 6))))))>
#<alt (* (pow a1 9) (cos th))>
#<alt (* (pow a1 9) (+ (cos th) (/ (* (cos th) (+ a2 (* -1 a2))) a1)))>
#<alt (* (pow a1 9) (+ (cos th) (+ (* -1 (/ (* (pow a2 2) (cos th)) (pow a1 2))) (/ (* (cos th) (+ a2 (* -1 a2))) a1))))>
#<alt (* (pow a1 9) (+ (cos th) (+ (* -1 (/ (* (pow a2 2) (cos th)) (pow a1 2))) (+ (/ (* (cos th) (+ a2 (* -1 a2))) a1) (/ (* (pow a2 7) (cos th)) (pow a1 7))))))>
#<alt (* (pow a1 10) (cos th))>
#<alt (* (pow a1 10) (+ (cos th) (/ (* (cos th) (+ a2 (* -1 a2))) a1)))>
#<alt (* (pow a1 10) (+ (cos th) (* -1 (/ (+ (* -1 (* (cos th) (+ a2 (* -1 a2)))) (/ (* (pow a2 2) (cos th)) a1)) a1))))>
#<alt (* (pow a1 10) (+ (cos th) (* -1 (/ (+ (* -1 (* (cos th) (+ a2 (* -1 a2)))) (* -1 (/ (+ (* -1 (* (pow a2 2) (cos th))) (/ (* (pow a2 8) (cos th)) (pow a1 6))) a1))) a1))))>
#<alt (* (pow a1 7) (cos th))>
#<alt (+ (* a2 (* (cos th) (+ (* -1 (pow a1 6)) (pow a1 6)))) (* (pow a1 7) (cos th)))>
#<alt (+ (* a2 (+ (* -1 (* (pow a1 5) (* a2 (cos th)))) (* (cos th) (+ (* -1 (pow a1 6)) (pow a1 6))))) (* (pow a1 7) (cos th)))>
#<alt (+ (* a2 (+ (* a2 (+ (* -1 (* (pow a1 5) (cos th))) (* (pow a1 2) (* (pow a2 3) (cos th))))) (* (cos th) (+ (* -1 (pow a1 6)) (pow a1 6))))) (* (pow a1 7) (cos th)))>
#<alt (* -1 (* (pow a2 9) (cos th)))>
#<alt (* (pow a2 9) (+ (* -1 (cos th)) (/ (* (cos th) (+ a1 (* -1 a1))) a2)))>
#<alt (* (pow a2 9) (+ (* -1 (cos th)) (+ (/ (* (cos th) (+ a1 (* -1 a1))) a2) (/ (* (pow a1 2) (cos th)) (pow a2 2)))))>
#<alt (* (pow a2 9) (+ (* -1 (cos th)) (+ (* -1 (/ (* (pow a1 7) (cos th)) (pow a2 7))) (+ (/ (* (cos th) (+ a1 (* -1 a1))) a2) (/ (* (pow a1 2) (cos th)) (pow a2 2))))))>
#<alt (* (pow a2 9) (cos th))>
#<alt (* -1 (* (pow a2 9) (+ (* -1 (cos th)) (* -1 (/ (* (cos th) (+ a1 (* -1 a1))) a2)))))>
#<alt (* -1 (* (pow a2 9) (+ (* -1 (cos th)) (* -1 (/ (+ (* -1 (/ (* (pow a1 2) (cos th)) a2)) (* (cos th) (+ a1 (* -1 a1)))) a2)))))>
#<alt (* -1 (* (pow a2 9) (+ (* -1 (cos th)) (* -1 (/ (+ (* -1 (/ (+ (* (pow a1 2) (cos th)) (/ (* (pow a1 7) (cos th)) (pow a2 5))) a2)) (* (cos th) (+ a1 (* -1 a1)))) a2)))))>
#<alt (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2)))>
#<alt (+ (* -1/2 (* (pow th 2) (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2))))) (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2))))>
#<alt (+ (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2))) (* (pow th 2) (+ (* -1/2 (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2)))) (* 1/24 (* (pow th 2) (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2))))))))>
#<alt (+ (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2))) (* (pow th 2) (+ (* -1/2 (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2))))) (* 1/24 (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2)))))))))>
#<alt (* (cos th) (* (+ a1 a2) (* (+ (pow a1 7) (pow a2 7)) (- a1 a2))))>
#<alt (* (cos th) (* (+ a1 a2) (* (+ (pow a1 7) (pow a2 7)) (- a1 a2))))>
#<alt (* (cos th) (* (+ a1 a2) (* (+ (pow a1 7) (pow a2 7)) (- a1 a2))))>
#<alt (* (cos th) (* (+ a1 a2) (* (+ (pow a1 7) (pow a2 7)) (- a1 a2))))>
#<alt (* (cos th) (* (+ a1 a2) (* (+ (pow a1 7) (pow a2 7)) (- a1 a2))))>
#<alt (* (cos th) (* (+ a1 a2) (* (+ (pow a1 7) (pow a2 7)) (- a1 a2))))>
#<alt (* (cos th) (* (+ a1 a2) (* (+ (pow a1 7) (pow a2 7)) (- a1 a2))))>
#<alt (* (cos th) (* (+ a1 a2) (* (+ (pow a1 7) (pow a2 7)) (- a1 a2))))>
#<alt (* -1 (pow a2 5))>
#<alt (+ (* -1 (pow a2 5)) (* a1 (+ (* -1 (pow a2 4)) (pow a2 4))))>
#<alt (+ (* -1 (pow a2 5)) (* a1 (+ (* -1 (pow a2 4)) (+ (* a1 (pow a2 3)) (pow a2 4)))))>
#<alt (+ (* -1 (pow a2 5)) (* a1 (+ (* -1 (pow a2 4)) (+ (* a1 (+ (* -1 (* a1 (pow a2 2))) (pow a2 3))) (pow a2 4)))))>
#<alt (pow a1 7)>
#<alt (* (pow a1 7) (+ 1 (+ (* -1 (/ a2 a1)) (/ a2 a1))))>
#<alt (* (pow a1 7) (+ 1 (+ (* -1 (/ a2 a1)) (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ a2 a1)))))>
#<alt (* (pow a1 7) (+ 1 (+ (* -1 (/ a2 a1)) (+ (* -1 (/ (pow a2 2) (pow a1 2))) (+ (/ a2 a1) (/ (pow a2 5) (pow a1 5)))))))>
#<alt (pow a1 8)>
#<alt (* (pow a1 8) (+ 1 (+ (* -1 (/ a2 a1)) (/ a2 a1))))>
#<alt (* (pow a1 8) (+ 1 (* -1 (/ (+ (* -1 (+ a2 (* -1 a2))) (/ (pow a2 2) a1)) a1))))>
#<alt (* (pow a1 8) (+ 1 (* -1 (/ (+ (* -1 (+ a2 (* -1 a2))) (* -1 (/ (+ (* -1 (pow a2 2)) (/ (pow a2 6) (pow a1 4))) a1))) a1))))>
#<alt (pow a1 5)>
#<alt (+ (* a2 (+ (* -1 (pow a1 4)) (pow a1 4))) (pow a1 5))>
#<alt (+ (* a2 (+ (* -1 (* (pow a1 3) a2)) (+ (* -1 (pow a1 4)) (pow a1 4)))) (pow a1 5))>
#<alt (+ (* a2 (+ (* -1 (pow a1 4)) (+ (* a2 (+ (* -1 (pow a1 3)) (* (pow a1 2) a2))) (pow a1 4)))) (pow a1 5))>
#<alt (* -1 (pow a2 7))>
#<alt (* (pow a2 7) (- (+ (* -1 (/ a1 a2)) (/ a1 a2)) 1))>
#<alt (* (pow a2 7) (- (+ (* -1 (/ a1 a2)) (+ (/ a1 a2) (/ (pow a1 2) (pow a2 2)))) 1))>
#<alt (* (pow a2 7) (- (+ (* -1 (/ a1 a2)) (+ (* -1 (/ (pow a1 5) (pow a2 5))) (+ (/ a1 a2) (/ (pow a1 2) (pow a2 2))))) 1))>
#<alt (pow a2 7)>
#<alt (* -1 (* (pow a2 7) (- (* -1 (/ (+ a1 (* -1 a1)) a2)) 1)))>
#<alt (* -1 (* (pow a2 7) (- (* -1 (/ (+ a1 (+ (* -1 a1) (* -1 (/ (pow a1 2) a2)))) a2)) 1)))>
#<alt (* -1 (* (pow a2 7) (- (* -1 (/ (+ a1 (+ (* -1 a1) (* -1 (/ (+ (/ (pow a1 5) (pow a2 3)) (pow a1 2)) a2)))) a2)) 1)))>
#<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 (/ a2 (sqrt 2))>
#<alt (/ a2 (sqrt 2))>
#<alt (/ a2 (sqrt 2))>
#<alt (/ a2 (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 a2>
#<alt a2>
#<alt a2>
#<alt a2>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow th 2)))>
#<alt (+ 1 (* (pow th 2) (+ 1/2 (* 5/24 (pow th 2)))))>
#<alt (+ 1 (* (pow th 2) (+ 1/2 (* (pow th 2) (+ 5/24 (* 61/720 (pow th 2)))))))>
#<alt (/ 1 (cos th))>
#<alt (/ 1 (cos th))>
#<alt (/ 1 (cos th))>
#<alt (/ 1 (cos th))>
#<alt (/ 1 (cos th))>
#<alt (/ 1 (cos th))>
#<alt (/ 1 (cos th))>
#<alt (/ 1 (cos th))>
#<alt (* -1 (* (pow a2 2) (sqrt 2)))>
#<alt (+ (* -1 (* (pow a2 2) (sqrt 2))) (* a1 (* (sqrt 2) (+ a2 (* -1 a2)))))>
#<alt (+ (* -1 (* (pow a2 2) (sqrt 2))) (* a1 (+ (* a1 (sqrt 2)) (* (sqrt 2) (+ a2 (* -1 a2))))))>
#<alt (+ (* -1 (* (pow a2 2) (sqrt 2))) (* a1 (+ (* a1 (sqrt 2)) (* (sqrt 2) (+ a2 (* -1 a2))))))>
#<alt (* (pow a1 2) (sqrt 2))>
#<alt (* (pow a1 2) (+ (sqrt 2) (/ (* (sqrt 2) (+ a2 (* -1 a2))) a1)))>
#<alt (* (pow a1 2) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (sqrt 2) (+ a2 (* -1 a2))) a1))))>
#<alt (* (pow a1 2) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (sqrt 2) (+ a2 (* -1 a2))) a1))))>
#<alt (* (pow a1 2) (sqrt 2))>
#<alt (* (pow a1 2) (+ (sqrt 2) (/ (* (sqrt 2) (+ a2 (* -1 a2))) a1)))>
#<alt (* (pow a1 2) (+ (sqrt 2) (* -1 (/ (+ (* -1 (* (sqrt 2) (+ a2 (* -1 a2)))) (/ (* (pow a2 2) (sqrt 2)) a1)) a1))))>
#<alt (* (pow a1 2) (+ (sqrt 2) (* -1 (/ (+ (* -1 (* (sqrt 2) (+ a2 (* -1 a2)))) (/ (* (pow a2 2) (sqrt 2)) a1)) a1))))>
#<alt (* (pow a1 2) (sqrt 2))>
#<alt (+ (* a2 (* (sqrt 2) (+ a1 (* -1 a1)))) (* (pow a1 2) (sqrt 2)))>
#<alt (+ (* a2 (+ (* -1 (* a2 (sqrt 2))) (* (sqrt 2) (+ a1 (* -1 a1))))) (* (pow a1 2) (sqrt 2)))>
#<alt (+ (* a2 (+ (* -1 (* a2 (sqrt 2))) (* (sqrt 2) (+ a1 (* -1 a1))))) (* (pow a1 2) (sqrt 2)))>
#<alt (* -1 (* (pow a2 2) (sqrt 2)))>
#<alt (* (pow a2 2) (+ (* -1 (sqrt 2)) (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2)))>
#<alt (* (pow a2 2) (+ (* -1 (sqrt 2)) (+ (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* -1 (sqrt 2)) (+ (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))>
#<alt (* -1 (* (pow a2 2) (sqrt 2)))>
#<alt (* (pow a2 2) (+ (* -1 (sqrt 2)) (* -1 (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2))))>
#<alt (* (pow a2 2) (+ (* -1 (sqrt 2)) (* -1 (/ (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) a2)) (* (sqrt 2) (+ a1 (* -1 a1)))) a2))))>
#<alt (* (pow a2 2) (+ (* -1 (sqrt 2)) (* -1 (/ (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) a2)) (* (sqrt 2) (+ a1 (* -1 a1)))) a2))))>
#<alt (* -1 a2)>
#<alt (- a1 a2)>
#<alt (- a1 a2)>
#<alt (- a1 a2)>
#<alt a1>
#<alt (* a1 (+ 1 (* -1 (/ a2 a1))))>
#<alt (* a1 (+ 1 (* -1 (/ a2 a1))))>
#<alt (* a1 (+ 1 (* -1 (/ a2 a1))))>
#<alt a1>
#<alt (* -1 (* a1 (- (/ a2 a1) 1)))>
#<alt (* -1 (* a1 (- (/ a2 a1) 1)))>
#<alt (* -1 (* a1 (- (/ a2 a1) 1)))>
#<alt a1>
#<alt (+ a1 (* -1 a2))>
#<alt (+ a1 (* -1 a2))>
#<alt (+ a1 (* -1 a2))>
#<alt (* -1 a2)>
#<alt (* a2 (- (/ a1 a2) 1))>
#<alt (* a2 (- (/ a1 a2) 1))>
#<alt (* a2 (- (/ a1 a2) 1))>
#<alt (* -1 a2)>
#<alt (* -1 (* a2 (+ 1 (* -1 (/ a1 a2)))))>
#<alt (* -1 (* a2 (+ 1 (* -1 (/ a1 a2)))))>
#<alt (* -1 (* a2 (+ 1 (* -1 (/ a1 a2)))))>

Calls

105 calls:

Time	Variable		Point	Expression
4.0ms	th	@	-inf	(/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) (cos th)))
3.0ms	a1	@	inf	(/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) (cos th)))
3.0ms	a2	@	inf	(/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th)))
2.0ms	th	@	inf	(* (* (+ (* a1 a1) (* a2 a2)) (* (+ a1 a2) (- a1 a2))) (cos th))
2.0ms	a2	@	-inf	(* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (cos th))

Compiler

Compiled 1 492 to 1 030 computations (31% saved)

rewrite286.0ms (2.6%)

Memory

-26.8MiB live, 674.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 556×	`lower-/.f32`
4 540×	`lower-/.f64`
4 098×	`lower-fma.f32`
4 094×	`lower-fma.f64`
3 686×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	179
0	50	155
1	179	140
2	1452	140
0	8435	140

Stop Event

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

Counts

20 → 1 048

Calls

Call 1

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

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

simplify291.0ms (2.7%)

Memory

-11.4MiB live, 675.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 064×	`lower-fma.f64`
7 064×	`lower-fma.f32`
5 854×	`lower-*.f64`
5 854×	`lower-*.f32`
2 206×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	509	5882
1	1654	5308
2	6062	5138
0	8382	5054

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 405

Calls

Call 1

Inputs
(/ (* (pow a2 4) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(/ (* (pow a1 5) (cos th)) (sqrt 2))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(* -1 (/ (* (pow a1 5) (cos th)) (sqrt 2)))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(/ (* (pow a1 4) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(/ (* (pow a2 5) (cos th)) (sqrt 2))
(* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))
(* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))
(* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))
(* -1 (/ (* (pow a2 5) (cos th)) (sqrt 2)))
(* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(pow a1 3)
(* (pow a1 3) (+ 1 (/ (pow a2 3) (pow a1 3))))
(* (pow a1 3) (+ 1 (/ (pow a2 3) (pow a1 3))))
(* (pow a1 3) (+ 1 (/ (pow a2 3) (pow a1 3))))
(* -1 (pow a1 3))
(* -1 (* (pow a1 3) (+ 1 (* -1 (/ (pow a2 3) (pow a1 3))))))
(* -1 (* (pow a1 3) (+ 1 (* -1 (/ (pow a2 3) (pow a1 3))))))
(* -1 (* (pow a1 3) (+ 1 (* -1 (/ (pow a2 3) (pow a1 3))))))
(pow a1 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(pow a2 3)
(* (pow a2 3) (+ 1 (/ (pow a1 3) (pow a2 3))))
(* (pow a2 3) (+ 1 (/ (pow a1 3) (pow a2 3))))
(* (pow a2 3) (+ 1 (/ (pow a1 3) (pow a2 3))))
(* -1 (pow a2 3))
(* -1 (* (pow a2 3) (+ 1 (* -1 (/ (pow a1 3) (pow a2 3))))))
(* -1 (* (pow a2 3) (+ 1 (* -1 (/ (pow a1 3) (pow a2 3))))))
(* -1 (* (pow a2 3) (+ 1 (* -1 (/ (pow a1 3) (pow a2 3))))))
a2
a2
a2
a2
(pow a2 2)
(pow a2 2)
(pow a2 2)
(pow a2 2)
(pow a2 2)
(pow a2 2)
(pow a2 2)
(pow a2 2)
(sqrt 2)
(+ (sqrt 2) (* 1/2 (* (pow th 2) (sqrt 2))))
(+ (sqrt 2) (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
(+ (sqrt 2) (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (sqrt 2)) (+ (* 1/48 (sqrt 2)) (* 1/2 (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2)))))))) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (pow a1 3) (sqrt 2))
(* (pow a1 3) (+ (/ 1 (sqrt 2)) (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))))
(* (pow a1 3) (+ (/ 1 (sqrt 2)) (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))))
(* (pow a1 3) (+ (/ 1 (sqrt 2)) (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))))
(* -1 (/ (pow a1 2) (sqrt 2)))
(* (pow a1 2) (- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2))))
(* (pow a1 2) (- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2))))
(* (pow a1 2) (- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2))))
(/ (pow a1 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (pow a2 3) (sqrt 2))
(* (pow a2 3) (+ (/ 1 (sqrt 2)) (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))))
(* (pow a2 3) (+ (/ 1 (sqrt 2)) (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))))
(* (pow a2 3) (+ (/ 1 (sqrt 2)) (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))))
(* -1 (/ (pow a2 2) (sqrt 2)))
(* (pow a2 2) (- (/ (pow a1 2) (* (pow a2 2) (sqrt 2))) (/ 1 (sqrt 2))))
(* (pow a2 2) (- (/ (pow a1 2) (* (pow a2 2) (sqrt 2))) (/ 1 (sqrt 2))))
(* (pow a2 2) (- (/ (pow a1 2) (* (pow a2 2) (sqrt 2))) (/ 1 (sqrt 2))))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
a1
a1
a1
a1
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(/ (* (pow a2 4) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(/ (* (pow a1 5) (cos th)) (sqrt 2))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(* -1 (/ (* (pow a1 5) (cos th)) (sqrt 2)))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(/ (* (pow a1 4) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(/ (* (pow a2 5) (cos th)) (sqrt 2))
(* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))
(* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))
(* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))
(* -1 (/ (* (pow a2 5) (cos th)) (sqrt 2)))
(* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (pow a1 3) (sqrt 2))
(* (pow a1 3) (+ (/ 1 (sqrt 2)) (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))))
(* (pow a1 3) (+ (/ 1 (sqrt 2)) (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))))
(* (pow a1 3) (+ (/ 1 (sqrt 2)) (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))))
(* -1 (/ (pow a1 3) (sqrt 2)))
(* -1 (* (pow a1 3) (+ (* -1 (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))) (/ 1 (sqrt 2)))))
(* -1 (* (pow a1 3) (+ (* -1 (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))) (/ 1 (sqrt 2)))))
(* -1 (* (pow a1 3) (+ (* -1 (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))) (/ 1 (sqrt 2)))))
(/ (pow a1 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (pow a2 3) (sqrt 2))
(* (pow a2 3) (+ (/ 1 (sqrt 2)) (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))))
(* (pow a2 3) (+ (/ 1 (sqrt 2)) (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))))
(* (pow a2 3) (+ (/ 1 (sqrt 2)) (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))))
(* -1 (/ (pow a2 3) (sqrt 2)))
(* -1 (* (pow a2 3) (+ (* -1 (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))) (/ 1 (sqrt 2)))))
(* -1 (* (pow a2 3) (+ (* -1 (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))) (/ 1 (sqrt 2)))))
(* -1 (* (pow a2 3) (+ (* -1 (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))) (/ 1 (sqrt 2)))))
(/ (* (pow a2 4) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(/ (* (pow a1 5) (cos th)) (sqrt 2))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(* -1 (/ (* (pow a1 5) (cos th)) (sqrt 2)))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(/ (* (pow a1 4) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(/ (* (pow a2 5) (cos th)) (sqrt 2))
(* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))
(* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))
(* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))
(* -1 (/ (* (pow a2 5) (cos th)) (sqrt 2)))
(* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (pow a2 4) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(/ (* (pow a1 5) (cos th)) (sqrt 2))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(* -1 (/ (* (pow a1 5) (cos th)) (sqrt 2)))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(/ (* (pow a1 4) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(/ (* (pow a2 5) (cos th)) (sqrt 2))
(* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))
(* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))
(* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))
(* -1 (/ (* (pow a2 5) (cos th)) (sqrt 2)))
(* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(* -1 (* (pow a2 7) (cos th)))
(+ (* -1 (* (pow a2 7) (cos th))) (* a1 (* (cos th) (+ (* -1 (pow a2 6)) (pow a2 6)))))
(+ (* -1 (* (pow a2 7) (cos th))) (* a1 (+ (* a1 (* (pow a2 5) (cos th))) (* (cos th) (+ (* -1 (pow a2 6)) (pow a2 6))))))
(+ (* -1 (* (pow a2 7) (cos th))) (* a1 (+ (* a1 (+ (* -1 (* (pow a1 3) (* (pow a2 2) (cos th)))) (* (pow a2 5) (cos th)))) (* (cos th) (+ (* -1 (pow a2 6)) (pow a2 6))))))
(* (pow a1 9) (cos th))
(* (pow a1 9) (+ (cos th) (/ (* (cos th) (+ a2 (* -1 a2))) a1)))
(* (pow a1 9) (+ (cos th) (+ (* -1 (/ (* (pow a2 2) (cos th)) (pow a1 2))) (/ (* (cos th) (+ a2 (* -1 a2))) a1))))
(* (pow a1 9) (+ (cos th) (+ (* -1 (/ (* (pow a2 2) (cos th)) (pow a1 2))) (+ (/ (* (cos th) (+ a2 (* -1 a2))) a1) (/ (* (pow a2 7) (cos th)) (pow a1 7))))))
(* (pow a1 10) (cos th))
(* (pow a1 10) (+ (cos th) (/ (* (cos th) (+ a2 (* -1 a2))) a1)))
(* (pow a1 10) (+ (cos th) (* -1 (/ (+ (* -1 (* (cos th) (+ a2 (* -1 a2)))) (/ (* (pow a2 2) (cos th)) a1)) a1))))
(* (pow a1 10) (+ (cos th) (* -1 (/ (+ (* -1 (* (cos th) (+ a2 (* -1 a2)))) (* -1 (/ (+ (* -1 (* (pow a2 2) (cos th))) (/ (* (pow a2 8) (cos th)) (pow a1 6))) a1))) a1))))
(* (pow a1 7) (cos th))
(+ (* a2 (* (cos th) (+ (* -1 (pow a1 6)) (pow a1 6)))) (* (pow a1 7) (cos th)))
(+ (* a2 (+ (* -1 (* (pow a1 5) (* a2 (cos th)))) (* (cos th) (+ (* -1 (pow a1 6)) (pow a1 6))))) (* (pow a1 7) (cos th)))
(+ (* a2 (+ (* a2 (+ (* -1 (* (pow a1 5) (cos th))) (* (pow a1 2) (* (pow a2 3) (cos th))))) (* (cos th) (+ (* -1 (pow a1 6)) (pow a1 6))))) (* (pow a1 7) (cos th)))
(* -1 (* (pow a2 9) (cos th)))
(* (pow a2 9) (+ (* -1 (cos th)) (/ (* (cos th) (+ a1 (* -1 a1))) a2)))
(* (pow a2 9) (+ (* -1 (cos th)) (+ (/ (* (cos th) (+ a1 (* -1 a1))) a2) (/ (* (pow a1 2) (cos th)) (pow a2 2)))))
(* (pow a2 9) (+ (* -1 (cos th)) (+ (* -1 (/ (* (pow a1 7) (cos th)) (pow a2 7))) (+ (/ (* (cos th) (+ a1 (* -1 a1))) a2) (/ (* (pow a1 2) (cos th)) (pow a2 2))))))
(* (pow a2 9) (cos th))
(* -1 (* (pow a2 9) (+ (* -1 (cos th)) (* -1 (/ (* (cos th) (+ a1 (* -1 a1))) a2)))))
(* -1 (* (pow a2 9) (+ (* -1 (cos th)) (* -1 (/ (+ (* -1 (/ (* (pow a1 2) (cos th)) a2)) (* (cos th) (+ a1 (* -1 a1)))) a2)))))
(* -1 (* (pow a2 9) (+ (* -1 (cos th)) (* -1 (/ (+ (* -1 (/ (+ (* (pow a1 2) (cos th)) (/ (* (pow a1 7) (cos th)) (pow a2 5))) a2)) (* (cos th) (+ a1 (* -1 a1)))) a2)))))
(* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2)))
(+ (* -1/2 (* (pow th 2) (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2))))) (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2))))
(+ (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2))) (* (pow th 2) (+ (* -1/2 (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2)))) (* 1/24 (* (pow th 2) (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2))))))))
(+ (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2))) (* (pow th 2) (+ (* -1/2 (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2))))) (* 1/24 (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2)))))))))
(* (cos th) (* (+ a1 a2) (* (+ (pow a1 7) (pow a2 7)) (- a1 a2))))
(* (cos th) (* (+ a1 a2) (* (+ (pow a1 7) (pow a2 7)) (- a1 a2))))
(* (cos th) (* (+ a1 a2) (* (+ (pow a1 7) (pow a2 7)) (- a1 a2))))
(* (cos th) (* (+ a1 a2) (* (+ (pow a1 7) (pow a2 7)) (- a1 a2))))
(* (cos th) (* (+ a1 a2) (* (+ (pow a1 7) (pow a2 7)) (- a1 a2))))
(* (cos th) (* (+ a1 a2) (* (+ (pow a1 7) (pow a2 7)) (- a1 a2))))
(* (cos th) (* (+ a1 a2) (* (+ (pow a1 7) (pow a2 7)) (- a1 a2))))
(* (cos th) (* (+ a1 a2) (* (+ (pow a1 7) (pow a2 7)) (- a1 a2))))
(* -1 (pow a2 5))
(+ (* -1 (pow a2 5)) (* a1 (+ (* -1 (pow a2 4)) (pow a2 4))))
(+ (* -1 (pow a2 5)) (* a1 (+ (* -1 (pow a2 4)) (+ (* a1 (pow a2 3)) (pow a2 4)))))
(+ (* -1 (pow a2 5)) (* a1 (+ (* -1 (pow a2 4)) (+ (* a1 (+ (* -1 (* a1 (pow a2 2))) (pow a2 3))) (pow a2 4)))))
(pow a1 7)
(* (pow a1 7) (+ 1 (+ (* -1 (/ a2 a1)) (/ a2 a1))))
(* (pow a1 7) (+ 1 (+ (* -1 (/ a2 a1)) (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ a2 a1)))))
(* (pow a1 7) (+ 1 (+ (* -1 (/ a2 a1)) (+ (* -1 (/ (pow a2 2) (pow a1 2))) (+ (/ a2 a1) (/ (pow a2 5) (pow a1 5)))))))
(pow a1 8)
(* (pow a1 8) (+ 1 (+ (* -1 (/ a2 a1)) (/ a2 a1))))
(* (pow a1 8) (+ 1 (* -1 (/ (+ (* -1 (+ a2 (* -1 a2))) (/ (pow a2 2) a1)) a1))))
(* (pow a1 8) (+ 1 (* -1 (/ (+ (* -1 (+ a2 (* -1 a2))) (* -1 (/ (+ (* -1 (pow a2 2)) (/ (pow a2 6) (pow a1 4))) a1))) a1))))
(pow a1 5)
(+ (* a2 (+ (* -1 (pow a1 4)) (pow a1 4))) (pow a1 5))
(+ (* a2 (+ (* -1 (* (pow a1 3) a2)) (+ (* -1 (pow a1 4)) (pow a1 4)))) (pow a1 5))
(+ (* a2 (+ (* -1 (pow a1 4)) (+ (* a2 (+ (* -1 (pow a1 3)) (* (pow a1 2) a2))) (pow a1 4)))) (pow a1 5))
(* -1 (pow a2 7))
(* (pow a2 7) (- (+ (* -1 (/ a1 a2)) (/ a1 a2)) 1))
(* (pow a2 7) (- (+ (* -1 (/ a1 a2)) (+ (/ a1 a2) (/ (pow a1 2) (pow a2 2)))) 1))
(* (pow a2 7) (- (+ (* -1 (/ a1 a2)) (+ (* -1 (/ (pow a1 5) (pow a2 5))) (+ (/ a1 a2) (/ (pow a1 2) (pow a2 2))))) 1))
(pow a2 7)
(* -1 (* (pow a2 7) (- (* -1 (/ (+ a1 (* -1 a1)) a2)) 1)))
(* -1 (* (pow a2 7) (- (* -1 (/ (+ a1 (+ (* -1 a1) (* -1 (/ (pow a1 2) a2)))) a2)) 1)))
(* -1 (* (pow a2 7) (- (* -1 (/ (+ a1 (+ (* -1 a1) (* -1 (/ (+ (/ (pow a1 5) (pow a2 3)) (pow a1 2)) a2)))) a2)) 1)))
1
(+ 1 (* -1/2 (pow th 2)))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ a2 (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
a2
a2
a2
a2
(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 (* 1/2 (pow th 2)))
(+ 1 (* (pow th 2) (+ 1/2 (* 5/24 (pow th 2)))))
(+ 1 (* (pow th 2) (+ 1/2 (* (pow th 2) (+ 5/24 (* 61/720 (pow th 2)))))))
(/ 1 (cos th))
(/ 1 (cos th))
(/ 1 (cos th))
(/ 1 (cos th))
(/ 1 (cos th))
(/ 1 (cos th))
(/ 1 (cos th))
(/ 1 (cos th))
(* -1 (* (pow a2 2) (sqrt 2)))
(+ (* -1 (* (pow a2 2) (sqrt 2))) (* a1 (* (sqrt 2) (+ a2 (* -1 a2)))))
(+ (* -1 (* (pow a2 2) (sqrt 2))) (* a1 (+ (* a1 (sqrt 2)) (* (sqrt 2) (+ a2 (* -1 a2))))))
(+ (* -1 (* (pow a2 2) (sqrt 2))) (* a1 (+ (* a1 (sqrt 2)) (* (sqrt 2) (+ a2 (* -1 a2))))))
(* (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (sqrt 2) (/ (* (sqrt 2) (+ a2 (* -1 a2))) a1)))
(* (pow a1 2) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (sqrt 2) (+ a2 (* -1 a2))) a1))))
(* (pow a1 2) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (sqrt 2) (+ a2 (* -1 a2))) a1))))
(* (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (sqrt 2) (/ (* (sqrt 2) (+ a2 (* -1 a2))) a1)))
(* (pow a1 2) (+ (sqrt 2) (* -1 (/ (+ (* -1 (* (sqrt 2) (+ a2 (* -1 a2)))) (/ (* (pow a2 2) (sqrt 2)) a1)) a1))))
(* (pow a1 2) (+ (sqrt 2) (* -1 (/ (+ (* -1 (* (sqrt 2) (+ a2 (* -1 a2)))) (/ (* (pow a2 2) (sqrt 2)) a1)) a1))))
(* (pow a1 2) (sqrt 2))
(+ (* a2 (* (sqrt 2) (+ a1 (* -1 a1)))) (* (pow a1 2) (sqrt 2)))
(+ (* a2 (+ (* -1 (* a2 (sqrt 2))) (* (sqrt 2) (+ a1 (* -1 a1))))) (* (pow a1 2) (sqrt 2)))
(+ (* a2 (+ (* -1 (* a2 (sqrt 2))) (* (sqrt 2) (+ a1 (* -1 a1))))) (* (pow a1 2) (sqrt 2)))
(* -1 (* (pow a2 2) (sqrt 2)))
(* (pow a2 2) (+ (* -1 (sqrt 2)) (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2)))
(* (pow a2 2) (+ (* -1 (sqrt 2)) (+ (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* (pow a2 2) (+ (* -1 (sqrt 2)) (+ (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* -1 (* (pow a2 2) (sqrt 2)))
(* (pow a2 2) (+ (* -1 (sqrt 2)) (* -1 (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2))))
(* (pow a2 2) (+ (* -1 (sqrt 2)) (* -1 (/ (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) a2)) (* (sqrt 2) (+ a1 (* -1 a1)))) a2))))
(* (pow a2 2) (+ (* -1 (sqrt 2)) (* -1 (/ (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) a2)) (* (sqrt 2) (+ a1 (* -1 a1)))) a2))))
(* -1 a2)
(- a1 a2)
(- a1 a2)
(- a1 a2)
a1
(* a1 (+ 1 (* -1 (/ a2 a1))))
(* a1 (+ 1 (* -1 (/ a2 a1))))
(* a1 (+ 1 (* -1 (/ a2 a1))))
a1
(* -1 (* a1 (- (/ a2 a1) 1)))
(* -1 (* a1 (- (/ a2 a1) 1)))
(* -1 (* a1 (- (/ a2 a1) 1)))
a1
(+ a1 (* -1 a2))
(+ a1 (* -1 a2))
(+ a1 (* -1 a2))
(* -1 a2)
(* a2 (- (/ a1 a2) 1))
(* a2 (- (/ a1 a2) 1))
(* a2 (- (/ a1 a2) 1))
(* -1 a2)
(* -1 (* a2 (+ 1 (* -1 (/ a1 a2)))))
(* -1 (* a2 (+ 1 (* -1 (/ a1 a2)))))
(* -1 (* a2 (+ 1 (* -1 (/ a1 a2)))))

Outputs
(/ (* (pow a2 4) (cos th)) (sqrt 2))
(*.f64 (pow.f64 a2 #s(literal 4 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))
(/ (* (pow a1 5) (cos th)) (sqrt 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 5 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(.f64 (pow.f64 a1 #s(literal 5 binary64)) (.f64 (+.f64 (/.f64 (pow.f64 a2 #s(literal 5 binary64)) (pow.f64 a1 #s(literal 5 binary64))) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(.f64 (pow.f64 a1 #s(literal 5 binary64)) (.f64 (+.f64 (/.f64 (pow.f64 a2 #s(literal 5 binary64)) (pow.f64 a1 #s(literal 5 binary64))) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(.f64 (pow.f64 a1 #s(literal 5 binary64)) (.f64 (+.f64 (/.f64 (pow.f64 a2 #s(literal 5 binary64)) (pow.f64 a1 #s(literal 5 binary64))) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (/ (* (pow a1 5) (cos th)) (sqrt 2)))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 5 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(.f64 (fma.f64 (neg.f64 (cos.f64 th)) (/.f64 (pow.f64 a2 #s(literal 5 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 5 binary64)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (pow.f64 a1 #s(literal 5 binary64))))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(.f64 (fma.f64 (neg.f64 (cos.f64 th)) (/.f64 (pow.f64 a2 #s(literal 5 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 5 binary64)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (pow.f64 a1 #s(literal 5 binary64))))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(.f64 (fma.f64 (neg.f64 (cos.f64 th)) (/.f64 (pow.f64 a2 #s(literal 5 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 5 binary64)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (pow.f64 a1 #s(literal 5 binary64))))
(/ (* (pow a1 4) (cos th)) (sqrt 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a1 #s(literal 4 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))
(/ (* (pow a2 5) (cos th)) (sqrt 2))
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(+ (pow a1 2) (pow a2 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(pow a2 3)
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(* (pow a2 3) (+ 1 (/ (pow a1 3) (pow a2 3))))
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(* (pow a2 3) (+ 1 (/ (pow a1 3) (pow a2 3))))
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(* (pow a2 3) (+ 1 (/ (pow a1 3) (pow a2 3))))
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(* -1 (pow a2 3))
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a2
a2
a2
a2
(pow a2 2)
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(/ (pow a1 2) (sqrt 2))
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(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
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(/ (pow a2 3) (sqrt 2))
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(* (pow a2 3) (+ (/ 1 (sqrt 2)) (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))))
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(* (pow a2 2) (- (/ (pow a1 2) (* (pow a2 2) (sqrt 2))) (/ 1 (sqrt 2))))
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(/ a1 (sqrt 2))
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(/ a1 (sqrt 2))
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(/ a1 (sqrt 2))
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(/ (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)))
a1
a1
a1
a1
(pow a1 2)
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(pow a1 2)
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(pow a1 2)
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(pow a1 2)
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(pow a1 2)
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(/ (* (pow a2 4) (cos th)) (sqrt 2))
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(* (pow a1 2) (sqrt 2))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))
(* (pow a1 2) (+ (sqrt 2) (/ (* (sqrt 2) (+ a2 (* -1 a2))) a1)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))
(* (pow a1 2) (+ (sqrt 2) (* -1 (/ (+ (* -1 (* (sqrt 2) (+ a2 (* -1 a2)))) (/ (* (pow a2 2) (sqrt 2)) a1)) a1))))
(.f64 (.f64 a1 a1) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)) #s(literal 0 binary64))))
(* (pow a1 2) (+ (sqrt 2) (* -1 (/ (+ (* -1 (* (sqrt 2) (+ a2 (* -1 a2)))) (/ (* (pow a2 2) (sqrt 2)) a1)) a1))))
(.f64 (.f64 a1 a1) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)) #s(literal 0 binary64))))
(* (pow a1 2) (sqrt 2))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))
(+ (* a2 (* (sqrt 2) (+ a1 (* -1 a1)))) (* (pow a1 2) (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))
(+ (* a2 (+ (* -1 (* a2 (sqrt 2))) (* (sqrt 2) (+ a1 (* -1 a1))))) (* (pow a1 2) (sqrt 2)))
(-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(+ (* a2 (+ (* -1 (* a2 (sqrt 2))) (* (sqrt 2) (+ a1 (* -1 a1))))) (* (pow a1 2) (sqrt 2)))
(-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* (pow a2 2) (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (neg.f64 a2)))
(* (pow a2 2) (+ (* -1 (sqrt 2)) (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (neg.f64 a2)))
(* (pow a2 2) (+ (* -1 (sqrt 2)) (+ (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(.f64 (.f64 a2 a2) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 (/.f64 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (+ (* -1 (sqrt 2)) (+ (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(.f64 (.f64 a2 a2) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 (/.f64 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* (pow a2 2) (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (neg.f64 a2)))
(* (pow a2 2) (+ (* -1 (sqrt 2)) (* -1 (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (neg.f64 a2)))
(* (pow a2 2) (+ (* -1 (sqrt 2)) (* -1 (/ (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) a2)) (* (sqrt 2) (+ a1 (* -1 a1)))) a2))))
(neg.f64 (.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 (/.f64 a1 (.f64 a2 a2)))))) (*.f64 a2 a2)))
(* (pow a2 2) (+ (* -1 (sqrt 2)) (* -1 (/ (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) a2)) (* (sqrt 2) (+ a1 (* -1 a1)))) a2))))
(neg.f64 (.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 (/.f64 a1 (.f64 a2 a2)))))) (*.f64 a2 a2)))
(* -1 a2)
(neg.f64 a2)
(- a1 a2)
(-.f64 a1 a2)
(- a1 a2)
(-.f64 a1 a2)
(- a1 a2)
(-.f64 a1 a2)
a1
(* a1 (+ 1 (* -1 (/ a2 a1))))
(fma.f64 a1 (/.f64 a2 (neg.f64 a1)) a1)
(* a1 (+ 1 (* -1 (/ a2 a1))))
(fma.f64 a1 (/.f64 a2 (neg.f64 a1)) a1)
(* a1 (+ 1 (* -1 (/ a2 a1))))
(fma.f64 a1 (/.f64 a2 (neg.f64 a1)) a1)
a1
(* -1 (* a1 (- (/ a2 a1) 1)))
(neg.f64 (fma.f64 a1 (/.f64 a2 a1) (neg.f64 a1)))
(* -1 (* a1 (- (/ a2 a1) 1)))
(neg.f64 (fma.f64 a1 (/.f64 a2 a1) (neg.f64 a1)))
(* -1 (* a1 (- (/ a2 a1) 1)))
(neg.f64 (fma.f64 a1 (/.f64 a2 a1) (neg.f64 a1)))
a1
(+ a1 (* -1 a2))
(-.f64 a1 a2)
(+ a1 (* -1 a2))
(-.f64 a1 a2)
(+ a1 (* -1 a2))
(-.f64 a1 a2)
(* -1 a2)
(neg.f64 a2)
(* a2 (- (/ a1 a2) 1))
(-.f64 (*.f64 a2 (/.f64 a1 a2)) a2)
(* a2 (- (/ a1 a2) 1))
(-.f64 (*.f64 a2 (/.f64 a1 a2)) a2)
(* a2 (- (/ a1 a2) 1))
(-.f64 (*.f64 a2 (/.f64 a1 a2)) a2)
(* -1 a2)
(neg.f64 a2)
(* -1 (* a2 (+ 1 (* -1 (/ a1 a2)))))
(-.f64 (*.f64 a2 (/.f64 a1 a2)) a2)
(* -1 (* a2 (+ 1 (* -1 (/ a1 a2)))))
(-.f64 (*.f64 a2 (/.f64 a1 a2)) a2)
(* -1 (* a2 (+ 1 (* -1 (/ a1 a2)))))
(-.f64 (*.f64 a2 (/.f64 a1 a2)) a2)

eval241.0ms (2.2%)

Memory: 43.2MiB live, 537.7MiB allocated
Compiler: Compiled 57 133 to 3 388 computations (94.1% saved)

prune233.0ms (2.1%)

Memory

-14.1MiB live, 552.4MiB allocated

Pruning

33 alts after pruning (32 fresh and 1 done)

	Pruned	Kept	Total
New	2 062	28	2 090
Fresh	9	4	13
Picked	4	1	5
Done	0	0	0
Total	2 075	33	2 108

Accuracy

100.0%

Counts

2 108 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.f64 (.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) a2 (.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
	59.6%	(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
▶	99.6%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
	55.0%	(/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (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))))
	99.6%	(/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
	59.6%	(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
	99.6%	(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))))
	99.6%	(/.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
▶	26.7%	(/.f64 (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (+.f64 a1 a2)) (.f64 (-.f64 a1 a2) (cos.f64 th))) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
	14.0%	(/.f64 (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
	26.7%	(/.f64 (.f64 (.f64 (.f64 a2 a2) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (cos.f64 th)) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
	98.9%	(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
	59.4%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
	24.5%	(/.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
▶	14.2%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
▶	99.6%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))))
	99.6%	(.f64 (fma.f64 (cos.f64 th) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1)))) #s(literal 1/2 binary64))
	99.5%	(.f64 (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 th))
	99.6%	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
	99.5%	(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (+.f64 a1 a2)) (/.f64 (.f64 (cos.f64 th) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))))
	55.0%	(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (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)))
	57.7%	(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 th th) (fma.f64 th (.f64 th (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	59.2%	(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))
✓	99.6%	(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
	99.6%	(.f64 (/.f64 (/.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (-.f64 a1 a2)) (/.f64 #s(literal 1 binary64) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
	82.2%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a1 a2) (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (+.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
	99.6%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a1 a1 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
	26.7%	(.f64 (/.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
	98.9%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
	17.5%	(.f64 (.f64 a2 a2) (fma.f64 a1 (/.f64 a1 (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
▶	26.8%	(.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 1 273 to 786 computations (38.3% saved)

simplify183.0ms (1.7%)

Memory

-31.2MiB live, 348.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 a1 a1 (*.f64 a2 a2))
✓	cost-diff	0	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (+.f64 a1 a2))
✓	cost-diff	0	(.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (+.f64 a1 a2)) (.f64 (-.f64 a1 a2) (cos.f64 th)))
✓	cost-diff	2048	(/.f64 (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (+.f64 a1 a2)) (.f64 (-.f64 a1 a2) (cos.f64 th))) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))
✓	cost-diff	0	(cos.f64 th)
✓	cost-diff	384	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
✓	cost-diff	0	(/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)))
✓	cost-diff	0	(fma.f64 a2 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(*.f64 a1 a1)
✓	cost-diff	960	(.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 a1 a1)
✓	cost-diff	0	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
✓	cost-diff	0	(*.f64 a1 a1)
✓	cost-diff	0	(fma.f64 a2 a2 (*.f64 a1 a1))
✓	cost-diff	384	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))

Rules

4 822×	`lower-*.f32`
4 804×	`lower-*.f64`
4 108×	`lower-fma.f32`
4 102×	`lower-fma.f64`
2 590×	`lower-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	245
0	54	229
1	107	229
2	373	229
3	1867	227
4	7330	224
0	8244	224

Stop Event

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

Calls

Call 1

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

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

localize107.0ms (1%)

Memory

24.8MiB live, 221.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	3.7%	(/.f64 (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (+.f64 a1 a2)) (.f64 (-.f64 a1 a2) (cos.f64 th))) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	2.9%	(.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (+.f64 a1 a2)) (.f64 (-.f64 a1 a2) (cos.f64 th)))
✓	accuracy	2.2%	(.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	1.3%	(-.f64 a1 a2)
✓	accuracy	16.9%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
✓	accuracy	13.0%	(cos.f64 th)
✓	accuracy	4.4%	(*.f64 a2 a2)
✓	accuracy	3.2%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))
✓	accuracy	31.7%	(fma.f64 a2 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	21.2%	(.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
✓	accuracy	3.1%	(/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)))
✓	accuracy	1.6%	(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 a1 a1)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	18.9%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
✓	accuracy	13.0%	(cos.f64 th)
✓	accuracy	4.4%	(fma.f64 a2 a2 (*.f64 a1 a1))
✓	accuracy	3.2%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))

Samples

61.0ms

256×

valid

Compiler

Compiled 506 to 61 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 15.0ms (36.2% of total)

ival-div: 13.0ms (31.4% of total)

ival-cos: 6.0ms (14.5% of total)

ival-add: 4.0ms (9.7% of total)

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

ival-sub: 1.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series143.0ms (1.3%)

Memory

-16.9MiB live, 142.1MiB allocated

Counts

20 → 420

Calls

Call 1

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

Outputs
#<alt (/ (* (pow a1 4) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a2 5) (cos th)) (sqrt 2))>
#<alt (* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))>
#<alt (* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))>
#<alt (* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))>
#<alt (* -1 (/ (* (pow a2 5) (cos th)) (sqrt 2)))>
#<alt (* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (/ (* (pow a2 4) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a1 5) (cos th)) (sqrt 2))>
#<alt (* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))>
#<alt (* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))>
#<alt (* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))>
#<alt (* -1 (/ (* (pow a1 5) (cos th)) (sqrt 2)))>
#<alt (* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))>
#<alt (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (pow a1 2)>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (pow a2 3)>
#<alt (* (pow a2 3) (+ 1 (/ (pow a1 3) (pow a2 3))))>
#<alt (* (pow a2 3) (+ 1 (/ (pow a1 3) (pow a2 3))))>
#<alt (* (pow a2 3) (+ 1 (/ (pow a1 3) (pow a2 3))))>
#<alt (* -1 (pow a2 3))>
#<alt (* -1 (* (pow a2 3) (+ 1 (* -1 (/ (pow a1 3) (pow a2 3))))))>
#<alt (* -1 (* (pow a2 3) (+ 1 (* -1 (/ (pow a1 3) (pow a2 3))))))>
#<alt (* -1 (* (pow a2 3) (+ 1 (* -1 (/ (pow a1 3) (pow a2 3))))))>
#<alt (pow a2 2)>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (pow a1 3)>
#<alt (* (pow a1 3) (+ 1 (/ (pow a2 3) (pow a1 3))))>
#<alt (* (pow a1 3) (+ 1 (/ (pow a2 3) (pow a1 3))))>
#<alt (* (pow a1 3) (+ 1 (/ (pow a2 3) (pow a1 3))))>
#<alt (* -1 (pow a1 3))>
#<alt (* -1 (* (pow a1 3) (+ 1 (* -1 (/ (pow a2 3) (pow a1 3))))))>
#<alt (* -1 (* (pow a1 3) (+ 1 (* -1 (/ (pow a2 3) (pow a1 3))))))>
#<alt (* -1 (* (pow a1 3) (+ 1 (* -1 (/ (pow a2 3) (pow a1 3))))))>
#<alt a1>
#<alt a1>
#<alt a1>
#<alt a1>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* 1/2 (* (pow th 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))>
#<alt (+ (sqrt 2) (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (sqrt 2)) (+ (* 1/48 (sqrt 2)) (* 1/2 (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2)))))))) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ a1 (sqrt 2))>
#<alt (/ a1 (sqrt 2))>
#<alt (/ a1 (sqrt 2))>
#<alt (/ a1 (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 (/ (pow a1 2) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (* -1 (/ (pow a1 2) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (* -1 (/ (pow a1 2) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))>
#<alt (* -1 (/ (pow a1 2) (sqrt 2)))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2))))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2))))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2))))>
#<alt (* -1 (/ (pow a1 2) (sqrt 2)))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2))))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2))))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2))))>
#<alt (* -1 (/ (pow a1 2) (sqrt 2)))>
#<alt (+ (* -1 (/ (pow a1 2) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (* -1 (/ (pow a1 2) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (* -1 (/ (pow a1 2) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (/ 1 (sqrt 2))))>
#<alt (* (pow a2 2) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (/ 1 (sqrt 2))))>
#<alt (* (pow a2 2) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (/ 1 (sqrt 2))))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (/ 1 (sqrt 2))))>
#<alt (* (pow a2 2) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (/ 1 (sqrt 2))))>
#<alt (* (pow a2 2) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (/ 1 (sqrt 2))))>
#<alt (/ -1 (sqrt 2))>
#<alt (- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2)))>
#<alt (- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2)))>
#<alt (- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2)))>
#<alt (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))>
#<alt (* (pow a2 3) (- (/ 1 (* (pow a1 3) (sqrt 2))) (/ 1 (* (pow a2 3) (sqrt 2)))))>
#<alt (* (pow a2 3) (- (/ 1 (* (pow a1 3) (sqrt 2))) (/ 1 (* (pow a2 3) (sqrt 2)))))>
#<alt (* (pow a2 3) (- (/ 1 (* (pow a1 3) (sqrt 2))) (/ 1 (* (pow a2 3) (sqrt 2)))))>
#<alt (* -1 (/ (pow a2 3) (* (pow a1 3) (sqrt 2))))>
#<alt (* -1 (* (pow a2 3) (+ (/ 1 (* (pow a1 3) (sqrt 2))) (/ 1 (* (pow a2 3) (sqrt 2))))))>
#<alt (* -1 (* (pow a2 3) (+ (/ 1 (* (pow a1 3) (sqrt 2))) (/ 1 (* (pow a2 3) (sqrt 2))))))>
#<alt (* -1 (* (pow a2 3) (+ (/ 1 (* (pow a1 3) (sqrt 2))) (/ 1 (* (pow a2 3) (sqrt 2))))))>
#<alt (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))>
#<alt (/ (+ (* -1 (/ (pow a1 2) (sqrt 2))) (/ (pow a2 2) (sqrt 2))) (pow a1 2))>
#<alt (/ (+ (* -1 (/ (pow a1 2) (sqrt 2))) (/ (pow a2 2) (sqrt 2))) (pow a1 2))>
#<alt (/ (+ (* -1 (/ (pow a1 2) (sqrt 2))) (/ (pow a2 2) (sqrt 2))) (pow a1 2))>
#<alt (/ -1 (sqrt 2))>
#<alt (- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2)))>
#<alt (- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2)))>
#<alt (- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2)))>
#<alt (/ -1 (sqrt 2))>
#<alt (- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2)))>
#<alt (- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2)))>
#<alt (- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2)))>
#<alt (/ a2 (* (pow a1 2) (sqrt 2)))>
#<alt (/ a2 (* (pow a1 2) (sqrt 2)))>
#<alt (/ a2 (* (pow a1 2) (sqrt 2)))>
#<alt (/ a2 (* (pow a1 2) (sqrt 2)))>
#<alt (/ a2 (* (pow a1 3) (sqrt 2)))>
#<alt (/ a2 (* (pow a1 3) (sqrt 2)))>
#<alt (/ a2 (* (pow a1 3) (sqrt 2)))>
#<alt (/ a2 (* (pow a1 3) (sqrt 2)))>
#<alt (/ a2 (* (pow a1 3) (sqrt 2)))>
#<alt (/ a2 (* (pow a1 3) (sqrt 2)))>
#<alt (/ a2 (* (pow a1 3) (sqrt 2)))>
#<alt (/ a2 (* (pow a1 3) (sqrt 2)))>
#<alt (/ a2 (* (pow a1 2) (sqrt 2)))>
#<alt (/ a2 (* (pow a1 2) (sqrt 2)))>
#<alt (/ a2 (* (pow a1 2) (sqrt 2)))>
#<alt (/ a2 (* (pow a1 2) (sqrt 2)))>
#<alt (/ a2 (* (pow a1 2) (sqrt 2)))>
#<alt (/ a2 (* (pow a1 2) (sqrt 2)))>
#<alt (/ a2 (* (pow a1 2) (sqrt 2)))>
#<alt (/ a2 (* (pow a1 2) (sqrt 2)))>
#<alt (/ a2 (* (pow a1 2) (sqrt 2)))>
#<alt (/ a2 (* (pow a1 2) (sqrt 2)))>
#<alt (/ a2 (* (pow a1 2) (sqrt 2)))>
#<alt (/ a2 (* (pow a1 2) (sqrt 2)))>
#<alt (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))>
#<alt (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (pow a2 4) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a1 5) (cos th)) (sqrt 2))>
#<alt (* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))>
#<alt (* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))>
#<alt (* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))>
#<alt (* -1 (/ (* (pow a1 5) (cos th)) (sqrt 2)))>
#<alt (* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (/ (* (pow a1 4) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a2 5) (cos th)) (sqrt 2))>
#<alt (* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))>
#<alt (* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))>
#<alt (* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))>
#<alt (* -1 (/ (* (pow a2 5) (cos th)) (sqrt 2)))>
#<alt (* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 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)>
#<alt (/ (sqrt 2) (pow a2 2))>
#<alt (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 4))) (/ (sqrt 2) (pow a2 2)))>
#<alt (+ (* (pow a1 2) (- (/ (* (pow a1 2) (sqrt 2)) (pow a2 6)) (/ (sqrt 2) (pow a2 4)))) (/ (sqrt 2) (pow a2 2)))>
#<alt (+ (* (pow a1 2) (- (* (pow a1 2) (- (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 8))) (* -1 (/ (sqrt 2) (pow a2 6))))) (/ (sqrt 2) (pow a2 4)))) (/ (sqrt 2) (pow a2 2)))>
#<alt (/ (sqrt 2) (pow a1 2))>
#<alt (/ (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))>
#<alt (/ (- (+ (sqrt 2) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (pow a1 2))>
#<alt (/ (- (+ (sqrt 2) (* -1 (/ (* (pow a2 6) (sqrt 2)) (pow a1 6)))) (+ (* -1 (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))>
#<alt (/ (sqrt 2) (pow a1 2))>
#<alt (/ (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))>
#<alt (/ (- (+ (sqrt 2) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (pow a1 2))>
#<alt (/ (- (+ (sqrt 2) (* -1 (/ (* (pow a2 6) (sqrt 2)) (pow a1 6)))) (+ (* -1 (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))>
#<alt (/ (sqrt 2) (pow a1 2))>
#<alt (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 4))) (/ (sqrt 2) (pow a1 2)))>
#<alt (+ (* (pow a2 2) (- (/ (* (pow a2 2) (sqrt 2)) (pow a1 6)) (/ (sqrt 2) (pow a1 4)))) (/ (sqrt 2) (pow a1 2)))>
#<alt (+ (* (pow a2 2) (- (* (pow a2 2) (- (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 8))) (* -1 (/ (sqrt 2) (pow a1 6))))) (/ (sqrt 2) (pow a1 4)))) (/ (sqrt 2) (pow a1 2)))>
#<alt (/ (sqrt 2) (pow a2 2))>
#<alt (/ (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2))>
#<alt (/ (- (+ (sqrt 2) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (pow a2 2))>
#<alt (/ (- (+ (sqrt 2) (* -1 (/ (* (pow a1 6) (sqrt 2)) (pow a2 6)))) (+ (* -1 (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2))>
#<alt (/ (sqrt 2) (pow a2 2))>
#<alt (/ (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2))>
#<alt (/ (- (+ (sqrt 2) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (pow a2 2))>
#<alt (/ (- (+ (sqrt 2) (* -1 (/ (* (pow a1 6) (sqrt 2)) (pow a2 6)))) (+ (* -1 (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2))>
#<alt (/ (* (pow a2 4) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a1 5) (cos th)) (sqrt 2))>
#<alt (* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))>
#<alt (* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))>
#<alt (* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))>
#<alt (* -1 (/ (* (pow a1 5) (cos th)) (sqrt 2)))>
#<alt (* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (/ (* (pow a1 4) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a2 5) (cos th)) (sqrt 2))>
#<alt (* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))>
#<alt (* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))>
#<alt (* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))>
#<alt (* -1 (/ (* (pow a2 5) (cos th)) (sqrt 2)))>
#<alt (* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))>
#<alt (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (* -1 (* (pow a2 7) (cos th)))>
#<alt (+ (* -1 (* (pow a2 7) (cos th))) (* a1 (* (cos th) (+ (* -1 (pow a2 6)) (pow a2 6)))))>
#<alt (+ (* -1 (* (pow a2 7) (cos th))) (* a1 (+ (* a1 (* (pow a2 5) (cos th))) (* (cos th) (+ (* -1 (pow a2 6)) (pow a2 6))))))>
#<alt (+ (* -1 (* (pow a2 7) (cos th))) (* a1 (+ (* a1 (+ (* -1 (* (pow a1 3) (* (pow a2 2) (cos th)))) (* (pow a2 5) (cos th)))) (* (cos th) (+ (* -1 (pow a2 6)) (pow a2 6))))))>
#<alt (* (pow a1 9) (cos th))>
#<alt (* (pow a1 9) (+ (cos th) (/ (* (cos th) (+ a2 (* -1 a2))) a1)))>
#<alt (* (pow a1 9) (+ (cos th) (+ (* -1 (/ (* (pow a2 2) (cos th)) (pow a1 2))) (/ (* (cos th) (+ a2 (* -1 a2))) a1))))>
#<alt (* (pow a1 9) (+ (cos th) (+ (* -1 (/ (* (pow a2 2) (cos th)) (pow a1 2))) (+ (/ (* (cos th) (+ a2 (* -1 a2))) a1) (/ (* (pow a2 7) (cos th)) (pow a1 7))))))>
#<alt (* (pow a1 10) (cos th))>
#<alt (* (pow a1 10) (+ (cos th) (/ (* (cos th) (+ a2 (* -1 a2))) a1)))>
#<alt (* (pow a1 10) (+ (cos th) (* -1 (/ (+ (* -1 (* (cos th) (+ a2 (* -1 a2)))) (/ (* (pow a2 2) (cos th)) a1)) a1))))>
#<alt (* (pow a1 10) (+ (cos th) (* -1 (/ (+ (* -1 (* (cos th) (+ a2 (* -1 a2)))) (* -1 (/ (+ (* -1 (* (pow a2 2) (cos th))) (/ (* (pow a2 8) (cos th)) (pow a1 6))) a1))) a1))))>
#<alt (* (pow a1 7) (cos th))>
#<alt (+ (* a2 (* (cos th) (+ (* -1 (pow a1 6)) (pow a1 6)))) (* (pow a1 7) (cos th)))>
#<alt (+ (* a2 (+ (* -1 (* (pow a1 5) (* a2 (cos th)))) (* (cos th) (+ (* -1 (pow a1 6)) (pow a1 6))))) (* (pow a1 7) (cos th)))>
#<alt (+ (* a2 (+ (* a2 (+ (* -1 (* (pow a1 5) (cos th))) (* (pow a1 2) (* (pow a2 3) (cos th))))) (* (cos th) (+ (* -1 (pow a1 6)) (pow a1 6))))) (* (pow a1 7) (cos th)))>
#<alt (* -1 (* (pow a2 9) (cos th)))>
#<alt (* (pow a2 9) (+ (* -1 (cos th)) (/ (* (cos th) (+ a1 (* -1 a1))) a2)))>
#<alt (* (pow a2 9) (+ (* -1 (cos th)) (+ (/ (* (cos th) (+ a1 (* -1 a1))) a2) (/ (* (pow a1 2) (cos th)) (pow a2 2)))))>
#<alt (* (pow a2 9) (+ (* -1 (cos th)) (+ (* -1 (/ (* (pow a1 7) (cos th)) (pow a2 7))) (+ (/ (* (cos th) (+ a1 (* -1 a1))) a2) (/ (* (pow a1 2) (cos th)) (pow a2 2))))))>
#<alt (* (pow a2 9) (cos th))>
#<alt (* -1 (* (pow a2 9) (+ (* -1 (cos th)) (* -1 (/ (* (cos th) (+ a1 (* -1 a1))) a2)))))>
#<alt (* -1 (* (pow a2 9) (+ (* -1 (cos th)) (* -1 (/ (+ (* -1 (/ (* (pow a1 2) (cos th)) a2)) (* (cos th) (+ a1 (* -1 a1)))) a2)))))>
#<alt (* -1 (* (pow a2 9) (+ (* -1 (cos th)) (* -1 (/ (+ (* -1 (/ (+ (* (pow a1 2) (cos th)) (/ (* (pow a1 7) (cos th)) (pow a2 5))) a2)) (* (cos th) (+ a1 (* -1 a1)))) a2)))))>
#<alt (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2)))>
#<alt (+ (* -1/2 (* (pow th 2) (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2))))) (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2))))>
#<alt (+ (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2))) (* (pow th 2) (+ (* -1/2 (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2)))) (* 1/24 (* (pow th 2) (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2))))))))>
#<alt (+ (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2))) (* (pow th 2) (+ (* -1/2 (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2))))) (* 1/24 (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2)))))))))>
#<alt (* (cos th) (* (+ a1 a2) (* (+ (pow a1 7) (pow a2 7)) (- a1 a2))))>
#<alt (* (cos th) (* (+ a1 a2) (* (+ (pow a1 7) (pow a2 7)) (- a1 a2))))>
#<alt (* (cos th) (* (+ a1 a2) (* (+ (pow a1 7) (pow a2 7)) (- a1 a2))))>
#<alt (* (cos th) (* (+ a1 a2) (* (+ (pow a1 7) (pow a2 7)) (- a1 a2))))>
#<alt (* (cos th) (* (+ a1 a2) (* (+ (pow a1 7) (pow a2 7)) (- a1 a2))))>
#<alt (* (cos th) (* (+ a1 a2) (* (+ (pow a1 7) (pow a2 7)) (- a1 a2))))>
#<alt (* (cos th) (* (+ a1 a2) (* (+ (pow a1 7) (pow a2 7)) (- a1 a2))))>
#<alt (* (cos th) (* (+ a1 a2) (* (+ (pow a1 7) (pow a2 7)) (- a1 a2))))>
#<alt (pow a2 4)>
#<alt (+ (* a1 (pow a2 3)) (pow a2 4))>
#<alt (+ (* a1 (+ (* (pow a1 2) a2) (pow a2 3))) (pow a2 4))>
#<alt (+ (* a1 (+ (* (pow a1 2) (+ a1 a2)) (pow a2 3))) (pow a2 4))>
#<alt (pow a1 6)>
#<alt (* (pow a1 6) (+ 1 (/ a2 a1)))>
#<alt (* (pow a1 6) (+ 1 (+ (/ a2 a1) (/ (pow a2 5) (pow a1 5)))))>
#<alt (* (pow a1 6) (+ 1 (+ (/ a2 a1) (+ (/ (pow a2 5) (pow a1 5)) (/ (pow a2 6) (pow a1 6))))))>
#<alt (* -1 (pow a1 4))>
#<alt (* (pow a1 4) (- (* -1 (/ a2 a1)) 1))>
#<alt (* (pow a1 4) (- (* -1 (/ (+ a2 (* -1 (/ (pow a2 3) (pow a1 2)))) a1)) 1))>
#<alt (* (pow a1 4) (- (* -1 (/ (+ a2 (+ (* -1 (/ (pow a2 3) (pow a1 2))) (* -1 (/ (pow a2 4) (pow a1 3))))) a1)) 1))>
#<alt (pow a1 4)>
#<alt (+ (* (pow a1 3) a2) (pow a1 4))>
#<alt (+ (* a2 (+ (* a1 (pow a2 2)) (pow a1 3))) (pow a1 4))>
#<alt (+ (* a2 (+ (* (pow a2 2) (+ a1 a2)) (pow a1 3))) (pow a1 4))>
#<alt (pow a2 6)>
#<alt (* (pow a2 6) (+ 1 (/ a1 a2)))>
#<alt (* (pow a2 6) (+ 1 (+ (/ a1 a2) (/ (pow a1 5) (pow a2 5)))))>
#<alt (* (pow a2 6) (+ 1 (+ (/ a1 a2) (+ (/ (pow a1 5) (pow a2 5)) (/ (pow a1 6) (pow a2 6))))))>
#<alt (* -1 (pow a2 4))>
#<alt (* (pow a2 4) (- (* -1 (/ a1 a2)) 1))>
#<alt (* (pow a2 4) (- (* -1 (/ (+ a1 (* -1 (/ (pow a1 3) (pow a2 2)))) a2)) 1))>
#<alt (* (pow a2 4) (- (* -1 (/ (+ a1 (+ (* -1 (/ (pow a1 3) (pow a2 2))) (* -1 (/ (pow a1 4) (pow a2 3))))) a2)) 1))>
#<alt (pow a2 2)>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (pow a1 3)>
#<alt (* (pow a1 3) (+ 1 (/ (pow a2 3) (pow a1 3))))>
#<alt (* (pow a1 3) (+ 1 (/ (pow a2 3) (pow a1 3))))>
#<alt (* (pow a1 3) (+ 1 (/ (pow a2 3) (pow a1 3))))>
#<alt (* -1 (pow a1 3))>
#<alt (* -1 (* (pow a1 3) (+ 1 (* -1 (/ (pow a2 3) (pow a1 3))))))>
#<alt (* -1 (* (pow a1 3) (+ 1 (* -1 (/ (pow a2 3) (pow a1 3))))))>
#<alt (* -1 (* (pow a1 3) (+ 1 (* -1 (/ (pow a2 3) (pow a1 3))))))>
#<alt (pow a1 2)>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (pow a2 3)>
#<alt (* (pow a2 3) (+ 1 (/ (pow a1 3) (pow a2 3))))>
#<alt (* (pow a2 3) (+ 1 (/ (pow a1 3) (pow a2 3))))>
#<alt (* (pow a2 3) (+ 1 (/ (pow a1 3) (pow a2 3))))>
#<alt (* -1 (pow a2 3))>
#<alt (* -1 (* (pow a2 3) (+ 1 (* -1 (/ (pow a1 3) (pow a2 3))))))>
#<alt (* -1 (* (pow a2 3) (+ 1 (* -1 (/ (pow a1 3) (pow a2 3))))))>
#<alt (* -1 (* (pow a2 3) (+ 1 (* -1 (/ (pow a1 3) (pow a2 3))))))>
#<alt a2>
#<alt a2>
#<alt a2>
#<alt a2>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (* -1 a2)>
#<alt (- a1 a2)>
#<alt (- a1 a2)>
#<alt (- a1 a2)>
#<alt a1>
#<alt (* a1 (+ 1 (* -1 (/ a2 a1))))>
#<alt (* a1 (+ 1 (* -1 (/ a2 a1))))>
#<alt (* a1 (+ 1 (* -1 (/ a2 a1))))>
#<alt a1>
#<alt (* -1 (* a1 (- (/ a2 a1) 1)))>
#<alt (* -1 (* a1 (- (/ a2 a1) 1)))>
#<alt (* -1 (* a1 (- (/ a2 a1) 1)))>
#<alt a1>
#<alt (+ a1 (* -1 a2))>
#<alt (+ a1 (* -1 a2))>
#<alt (+ a1 (* -1 a2))>
#<alt (* -1 a2)>
#<alt (* a2 (- (/ a1 a2) 1))>
#<alt (* a2 (- (/ a1 a2) 1))>
#<alt (* a2 (- (/ a1 a2) 1))>
#<alt (* -1 a2)>
#<alt (* -1 (* a2 (+ 1 (* -1 (/ a1 a2)))))>
#<alt (* -1 (* a2 (+ 1 (* -1 (/ a1 a2)))))>
#<alt (* -1 (* a2 (+ 1 (* -1 (/ a1 a2)))))>
#<alt (* -1 (* (pow a2 2) (sqrt 2)))>
#<alt (+ (* -1 (* (pow a2 2) (sqrt 2))) (* a1 (* (sqrt 2) (+ a2 (* -1 a2)))))>
#<alt (+ (* -1 (* (pow a2 2) (sqrt 2))) (* a1 (+ (* a1 (sqrt 2)) (* (sqrt 2) (+ a2 (* -1 a2))))))>
#<alt (+ (* -1 (* (pow a2 2) (sqrt 2))) (* a1 (+ (* a1 (sqrt 2)) (* (sqrt 2) (+ a2 (* -1 a2))))))>
#<alt (* (pow a1 2) (sqrt 2))>
#<alt (* (pow a1 2) (+ (sqrt 2) (/ (* (sqrt 2) (+ a2 (* -1 a2))) a1)))>
#<alt (* (pow a1 2) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (sqrt 2) (+ a2 (* -1 a2))) a1))))>
#<alt (* (pow a1 2) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (sqrt 2) (+ a2 (* -1 a2))) a1))))>
#<alt (* (pow a1 2) (sqrt 2))>
#<alt (* (pow a1 2) (+ (sqrt 2) (/ (* (sqrt 2) (+ a2 (* -1 a2))) a1)))>
#<alt (* (pow a1 2) (+ (sqrt 2) (* -1 (/ (+ (* -1 (* (sqrt 2) (+ a2 (* -1 a2)))) (/ (* (pow a2 2) (sqrt 2)) a1)) a1))))>
#<alt (* (pow a1 2) (+ (sqrt 2) (* -1 (/ (+ (* -1 (* (sqrt 2) (+ a2 (* -1 a2)))) (/ (* (pow a2 2) (sqrt 2)) a1)) a1))))>
#<alt (* (pow a1 2) (sqrt 2))>
#<alt (+ (* a2 (* (sqrt 2) (+ a1 (* -1 a1)))) (* (pow a1 2) (sqrt 2)))>
#<alt (+ (* a2 (+ (* -1 (* a2 (sqrt 2))) (* (sqrt 2) (+ a1 (* -1 a1))))) (* (pow a1 2) (sqrt 2)))>
#<alt (+ (* a2 (+ (* -1 (* a2 (sqrt 2))) (* (sqrt 2) (+ a1 (* -1 a1))))) (* (pow a1 2) (sqrt 2)))>
#<alt (* -1 (* (pow a2 2) (sqrt 2)))>
#<alt (* (pow a2 2) (+ (* -1 (sqrt 2)) (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2)))>
#<alt (* (pow a2 2) (+ (* -1 (sqrt 2)) (+ (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* -1 (sqrt 2)) (+ (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))>
#<alt (* -1 (* (pow a2 2) (sqrt 2)))>
#<alt (* (pow a2 2) (+ (* -1 (sqrt 2)) (* -1 (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2))))>
#<alt (* (pow a2 2) (+ (* -1 (sqrt 2)) (* -1 (/ (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) a2)) (* (sqrt 2) (+ a1 (* -1 a1)))) a2))))>
#<alt (* (pow a2 2) (+ (* -1 (sqrt 2)) (* -1 (/ (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) a2)) (* (sqrt 2) (+ a1 (* -1 a1)))) a2))))>

Calls

105 calls:

Time	Variable		Point	Expression
35.0ms	a2	@	inf	(+ (* a2 (/ a2 (* (sqrt 2) (* a1 a1)))) (/ -1 (sqrt 2)))
20.0ms	a2	@	inf	(/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th)))
14.0ms	a1	@	inf	(/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))
11.0ms	a1	@	-inf	(+ (* a1 a1) (* a2 a2))
1.0ms	a1	@	inf	(/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt 2) (cos th)))

Compiler

Compiled 1 506 to 1 019 computations (32.3% saved)

rewrite838.0ms (7.7%)

Memory

18.8MiB live, 568.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 144×	`lower-/.f32`
5 128×	`lower-/.f64`
3 912×	`lower-*.f32`
3 894×	`lower-*.f64`
3 252×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	178
0	54	162
1	210	155
2	1853	155
0	8227	155

Stop Event

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

Counts

20 → 1 256

Calls

Call 1

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

simplify574.0ms (5.3%)

Memory

-21.3MiB live, 376.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 416×	`lower-fma.f64`
7 416×	`lower-fma.f32`
5 984×	`lower-*.f64`
5 984×	`lower-*.f32`
2 200×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	526	6005
1	1663	5565
2	5748	5309
0	8365	5223

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 409

Calls

Call 1

Inputs
(/ (* (pow a1 4) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(/ (* (pow a2 5) (cos th)) (sqrt 2))
(* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))
(* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))
(* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))
(* -1 (/ (* (pow a2 5) (cos th)) (sqrt 2)))
(* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(/ (* (pow a2 4) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(/ (* (pow a1 5) (cos th)) (sqrt 2))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(* -1 (/ (* (pow a1 5) (cos th)) (sqrt 2)))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(pow a1 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(pow a2 3)
(* (pow a2 3) (+ 1 (/ (pow a1 3) (pow a2 3))))
(* (pow a2 3) (+ 1 (/ (pow a1 3) (pow a2 3))))
(* (pow a2 3) (+ 1 (/ (pow a1 3) (pow a2 3))))
(* -1 (pow a2 3))
(* -1 (* (pow a2 3) (+ 1 (* -1 (/ (pow a1 3) (pow a2 3))))))
(* -1 (* (pow a2 3) (+ 1 (* -1 (/ (pow a1 3) (pow a2 3))))))
(* -1 (* (pow a2 3) (+ 1 (* -1 (/ (pow a1 3) (pow a2 3))))))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(pow a1 3)
(* (pow a1 3) (+ 1 (/ (pow a2 3) (pow a1 3))))
(* (pow a1 3) (+ 1 (/ (pow a2 3) (pow a1 3))))
(* (pow a1 3) (+ 1 (/ (pow a2 3) (pow a1 3))))
(* -1 (pow a1 3))
(* -1 (* (pow a1 3) (+ 1 (* -1 (/ (pow a2 3) (pow a1 3))))))
(* -1 (* (pow a1 3) (+ 1 (* -1 (/ (pow a2 3) (pow a1 3))))))
(* -1 (* (pow a1 3) (+ 1 (* -1 (/ (pow a2 3) (pow a1 3))))))
a1
a1
a1
a1
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(sqrt 2)
(+ (sqrt 2) (* 1/2 (* (pow th 2) (sqrt 2))))
(+ (sqrt 2) (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
(+ (sqrt 2) (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (sqrt 2)) (+ (* 1/48 (sqrt 2)) (* 1/2 (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2)))))))) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (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 (/ (pow a1 2) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))
(+ (* -1 (/ (pow a1 2) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))
(+ (* -1 (/ (pow a1 2) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))
(* -1 (/ (pow a1 2) (sqrt 2)))
(* (pow a1 2) (- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2))))
(* (pow a1 2) (- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2))))
(* (pow a1 2) (- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2))))
(* -1 (/ (pow a1 2) (sqrt 2)))
(* (pow a1 2) (- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2))))
(* (pow a1 2) (- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2))))
(* (pow a1 2) (- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2))))
(* -1 (/ (pow a1 2) (sqrt 2)))
(+ (* -1 (/ (pow a1 2) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))
(+ (* -1 (/ (pow a1 2) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))
(+ (* -1 (/ (pow a1 2) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (/ 1 (sqrt 2))))
(* (pow a2 2) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (/ 1 (sqrt 2))))
(* (pow a2 2) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (/ 1 (sqrt 2))))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (/ 1 (sqrt 2))))
(* (pow a2 2) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (/ 1 (sqrt 2))))
(* (pow a2 2) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (/ 1 (sqrt 2))))
(/ -1 (sqrt 2))
(- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2)))
(- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2)))
(- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2)))
(/ (pow a2 3) (* (pow a1 3) (sqrt 2)))
(* (pow a2 3) (- (/ 1 (* (pow a1 3) (sqrt 2))) (/ 1 (* (pow a2 3) (sqrt 2)))))
(* (pow a2 3) (- (/ 1 (* (pow a1 3) (sqrt 2))) (/ 1 (* (pow a2 3) (sqrt 2)))))
(* (pow a2 3) (- (/ 1 (* (pow a1 3) (sqrt 2))) (/ 1 (* (pow a2 3) (sqrt 2)))))
(* -1 (/ (pow a2 3) (* (pow a1 3) (sqrt 2))))
(* -1 (* (pow a2 3) (+ (/ 1 (* (pow a1 3) (sqrt 2))) (/ 1 (* (pow a2 3) (sqrt 2))))))
(* -1 (* (pow a2 3) (+ (/ 1 (* (pow a1 3) (sqrt 2))) (/ 1 (* (pow a2 3) (sqrt 2))))))
(* -1 (* (pow a2 3) (+ (/ 1 (* (pow a1 3) (sqrt 2))) (/ 1 (* (pow a2 3) (sqrt 2))))))
(/ (pow a2 2) (* (pow a1 2) (sqrt 2)))
(/ (+ (* -1 (/ (pow a1 2) (sqrt 2))) (/ (pow a2 2) (sqrt 2))) (pow a1 2))
(/ (+ (* -1 (/ (pow a1 2) (sqrt 2))) (/ (pow a2 2) (sqrt 2))) (pow a1 2))
(/ (+ (* -1 (/ (pow a1 2) (sqrt 2))) (/ (pow a2 2) (sqrt 2))) (pow a1 2))
(/ -1 (sqrt 2))
(- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2)))
(- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2)))
(- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2)))
(/ -1 (sqrt 2))
(- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2)))
(- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2)))
(- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2)))
(/ a2 (* (pow a1 2) (sqrt 2)))
(/ a2 (* (pow a1 2) (sqrt 2)))
(/ a2 (* (pow a1 2) (sqrt 2)))
(/ a2 (* (pow a1 2) (sqrt 2)))
(/ a2 (* (pow a1 3) (sqrt 2)))
(/ a2 (* (pow a1 3) (sqrt 2)))
(/ a2 (* (pow a1 3) (sqrt 2)))
(/ a2 (* (pow a1 3) (sqrt 2)))
(/ a2 (* (pow a1 3) (sqrt 2)))
(/ a2 (* (pow a1 3) (sqrt 2)))
(/ a2 (* (pow a1 3) (sqrt 2)))
(/ a2 (* (pow a1 3) (sqrt 2)))
(/ a2 (* (pow a1 2) (sqrt 2)))
(/ a2 (* (pow a1 2) (sqrt 2)))
(/ a2 (* (pow a1 2) (sqrt 2)))
(/ a2 (* (pow a1 2) (sqrt 2)))
(/ a2 (* (pow a1 2) (sqrt 2)))
(/ a2 (* (pow a1 2) (sqrt 2)))
(/ a2 (* (pow a1 2) (sqrt 2)))
(/ a2 (* (pow a1 2) (sqrt 2)))
(/ a2 (* (pow a1 2) (sqrt 2)))
(/ a2 (* (pow a1 2) (sqrt 2)))
(/ a2 (* (pow a1 2) (sqrt 2)))
(/ a2 (* (pow a1 2) (sqrt 2)))
(/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (pow a2 4) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(/ (* (pow a1 5) (cos th)) (sqrt 2))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(* -1 (/ (* (pow a1 5) (cos th)) (sqrt 2)))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(/ (* (pow a1 4) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(/ (* (pow a2 5) (cos th)) (sqrt 2))
(* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))
(* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))
(* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))
(* -1 (/ (* (pow a2 5) (cos th)) (sqrt 2)))
(* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
1
(+ 1 (* -1/2 (pow th 2)))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(/ (sqrt 2) (pow a2 2))
(+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 4))) (/ (sqrt 2) (pow a2 2)))
(+ (* (pow a1 2) (- (/ (* (pow a1 2) (sqrt 2)) (pow a2 6)) (/ (sqrt 2) (pow a2 4)))) (/ (sqrt 2) (pow a2 2)))
(+ (* (pow a1 2) (- (* (pow a1 2) (- (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 8))) (* -1 (/ (sqrt 2) (pow a2 6))))) (/ (sqrt 2) (pow a2 4)))) (/ (sqrt 2) (pow a2 2)))
(/ (sqrt 2) (pow a1 2))
(/ (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))
(/ (- (+ (sqrt 2) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (pow a1 2))
(/ (- (+ (sqrt 2) (* -1 (/ (* (pow a2 6) (sqrt 2)) (pow a1 6)))) (+ (* -1 (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))
(/ (sqrt 2) (pow a1 2))
(/ (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))
(/ (- (+ (sqrt 2) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (pow a1 2))
(/ (- (+ (sqrt 2) (* -1 (/ (* (pow a2 6) (sqrt 2)) (pow a1 6)))) (+ (* -1 (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))
(/ (sqrt 2) (pow a1 2))
(+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 4))) (/ (sqrt 2) (pow a1 2)))
(+ (* (pow a2 2) (- (/ (* (pow a2 2) (sqrt 2)) (pow a1 6)) (/ (sqrt 2) (pow a1 4)))) (/ (sqrt 2) (pow a1 2)))
(+ (* (pow a2 2) (- (* (pow a2 2) (- (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 8))) (* -1 (/ (sqrt 2) (pow a1 6))))) (/ (sqrt 2) (pow a1 4)))) (/ (sqrt 2) (pow a1 2)))
(/ (sqrt 2) (pow a2 2))
(/ (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2))
(/ (- (+ (sqrt 2) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (pow a2 2))
(/ (- (+ (sqrt 2) (* -1 (/ (* (pow a1 6) (sqrt 2)) (pow a2 6)))) (+ (* -1 (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2))
(/ (sqrt 2) (pow a2 2))
(/ (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2))
(/ (- (+ (sqrt 2) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (pow a2 2))
(/ (- (+ (sqrt 2) (* -1 (/ (* (pow a1 6) (sqrt 2)) (pow a2 6)))) (+ (* -1 (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2))
(/ (* (pow a2 4) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(/ (* (pow a1 5) (cos th)) (sqrt 2))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(* -1 (/ (* (pow a1 5) (cos th)) (sqrt 2)))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(/ (* (pow a1 4) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(/ (* (pow a2 5) (cos th)) (sqrt 2))
(* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))
(* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))
(* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))
(* -1 (/ (* (pow a2 5) (cos th)) (sqrt 2)))
(* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(* -1 (* (pow a2 7) (cos th)))
(+ (* -1 (* (pow a2 7) (cos th))) (* a1 (* (cos th) (+ (* -1 (pow a2 6)) (pow a2 6)))))
(+ (* -1 (* (pow a2 7) (cos th))) (* a1 (+ (* a1 (* (pow a2 5) (cos th))) (* (cos th) (+ (* -1 (pow a2 6)) (pow a2 6))))))
(+ (* -1 (* (pow a2 7) (cos th))) (* a1 (+ (* a1 (+ (* -1 (* (pow a1 3) (* (pow a2 2) (cos th)))) (* (pow a2 5) (cos th)))) (* (cos th) (+ (* -1 (pow a2 6)) (pow a2 6))))))
(* (pow a1 9) (cos th))
(* (pow a1 9) (+ (cos th) (/ (* (cos th) (+ a2 (* -1 a2))) a1)))
(* (pow a1 9) (+ (cos th) (+ (* -1 (/ (* (pow a2 2) (cos th)) (pow a1 2))) (/ (* (cos th) (+ a2 (* -1 a2))) a1))))
(* (pow a1 9) (+ (cos th) (+ (* -1 (/ (* (pow a2 2) (cos th)) (pow a1 2))) (+ (/ (* (cos th) (+ a2 (* -1 a2))) a1) (/ (* (pow a2 7) (cos th)) (pow a1 7))))))
(* (pow a1 10) (cos th))
(* (pow a1 10) (+ (cos th) (/ (* (cos th) (+ a2 (* -1 a2))) a1)))
(* (pow a1 10) (+ (cos th) (* -1 (/ (+ (* -1 (* (cos th) (+ a2 (* -1 a2)))) (/ (* (pow a2 2) (cos th)) a1)) a1))))
(* (pow a1 10) (+ (cos th) (* -1 (/ (+ (* -1 (* (cos th) (+ a2 (* -1 a2)))) (* -1 (/ (+ (* -1 (* (pow a2 2) (cos th))) (/ (* (pow a2 8) (cos th)) (pow a1 6))) a1))) a1))))
(* (pow a1 7) (cos th))
(+ (* a2 (* (cos th) (+ (* -1 (pow a1 6)) (pow a1 6)))) (* (pow a1 7) (cos th)))
(+ (* a2 (+ (* -1 (* (pow a1 5) (* a2 (cos th)))) (* (cos th) (+ (* -1 (pow a1 6)) (pow a1 6))))) (* (pow a1 7) (cos th)))
(+ (* a2 (+ (* a2 (+ (* -1 (* (pow a1 5) (cos th))) (* (pow a1 2) (* (pow a2 3) (cos th))))) (* (cos th) (+ (* -1 (pow a1 6)) (pow a1 6))))) (* (pow a1 7) (cos th)))
(* -1 (* (pow a2 9) (cos th)))
(* (pow a2 9) (+ (* -1 (cos th)) (/ (* (cos th) (+ a1 (* -1 a1))) a2)))
(* (pow a2 9) (+ (* -1 (cos th)) (+ (/ (* (cos th) (+ a1 (* -1 a1))) a2) (/ (* (pow a1 2) (cos th)) (pow a2 2)))))
(* (pow a2 9) (+ (* -1 (cos th)) (+ (* -1 (/ (* (pow a1 7) (cos th)) (pow a2 7))) (+ (/ (* (cos th) (+ a1 (* -1 a1))) a2) (/ (* (pow a1 2) (cos th)) (pow a2 2))))))
(* (pow a2 9) (cos th))
(* -1 (* (pow a2 9) (+ (* -1 (cos th)) (* -1 (/ (* (cos th) (+ a1 (* -1 a1))) a2)))))
(* -1 (* (pow a2 9) (+ (* -1 (cos th)) (* -1 (/ (+ (* -1 (/ (* (pow a1 2) (cos th)) a2)) (* (cos th) (+ a1 (* -1 a1)))) a2)))))
(* -1 (* (pow a2 9) (+ (* -1 (cos th)) (* -1 (/ (+ (* -1 (/ (+ (* (pow a1 2) (cos th)) (/ (* (pow a1 7) (cos th)) (pow a2 5))) a2)) (* (cos th) (+ a1 (* -1 a1)))) a2)))))
(* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2)))
(+ (* -1/2 (* (pow th 2) (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2))))) (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2))))
(+ (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2))) (* (pow th 2) (+ (* -1/2 (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2)))) (* 1/24 (* (pow th 2) (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2))))))))
(+ (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2))) (* (pow th 2) (+ (* -1/2 (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2))))) (* 1/24 (* (+ a1 a2) (* (+ (pow a1 5) (pow a2 5)) (- a1 a2)))))))))
(* (cos th) (* (+ a1 a2) (* (+ (pow a1 7) (pow a2 7)) (- a1 a2))))
(* (cos th) (* (+ a1 a2) (* (+ (pow a1 7) (pow a2 7)) (- a1 a2))))
(* (cos th) (* (+ a1 a2) (* (+ (pow a1 7) (pow a2 7)) (- a1 a2))))
(* (cos th) (* (+ a1 a2) (* (+ (pow a1 7) (pow a2 7)) (- a1 a2))))
(* (cos th) (* (+ a1 a2) (* (+ (pow a1 7) (pow a2 7)) (- a1 a2))))
(* (cos th) (* (+ a1 a2) (* (+ (pow a1 7) (pow a2 7)) (- a1 a2))))
(* (cos th) (* (+ a1 a2) (* (+ (pow a1 7) (pow a2 7)) (- a1 a2))))
(* (cos th) (* (+ a1 a2) (* (+ (pow a1 7) (pow a2 7)) (- a1 a2))))
(pow a2 4)
(+ (* a1 (pow a2 3)) (pow a2 4))
(+ (* a1 (+ (* (pow a1 2) a2) (pow a2 3))) (pow a2 4))
(+ (* a1 (+ (* (pow a1 2) (+ a1 a2)) (pow a2 3))) (pow a2 4))
(pow a1 6)
(* (pow a1 6) (+ 1 (/ a2 a1)))
(* (pow a1 6) (+ 1 (+ (/ a2 a1) (/ (pow a2 5) (pow a1 5)))))
(* (pow a1 6) (+ 1 (+ (/ a2 a1) (+ (/ (pow a2 5) (pow a1 5)) (/ (pow a2 6) (pow a1 6))))))
(* -1 (pow a1 4))
(* (pow a1 4) (- (* -1 (/ a2 a1)) 1))
(* (pow a1 4) (- (* -1 (/ (+ a2 (* -1 (/ (pow a2 3) (pow a1 2)))) a1)) 1))
(* (pow a1 4) (- (* -1 (/ (+ a2 (+ (* -1 (/ (pow a2 3) (pow a1 2))) (* -1 (/ (pow a2 4) (pow a1 3))))) a1)) 1))
(pow a1 4)
(+ (* (pow a1 3) a2) (pow a1 4))
(+ (* a2 (+ (* a1 (pow a2 2)) (pow a1 3))) (pow a1 4))
(+ (* a2 (+ (* (pow a2 2) (+ a1 a2)) (pow a1 3))) (pow a1 4))
(pow a2 6)
(* (pow a2 6) (+ 1 (/ a1 a2)))
(* (pow a2 6) (+ 1 (+ (/ a1 a2) (/ (pow a1 5) (pow a2 5)))))
(* (pow a2 6) (+ 1 (+ (/ a1 a2) (+ (/ (pow a1 5) (pow a2 5)) (/ (pow a1 6) (pow a2 6))))))
(* -1 (pow a2 4))
(* (pow a2 4) (- (* -1 (/ a1 a2)) 1))
(* (pow a2 4) (- (* -1 (/ (+ a1 (* -1 (/ (pow a1 3) (pow a2 2)))) a2)) 1))
(* (pow a2 4) (- (* -1 (/ (+ a1 (+ (* -1 (/ (pow a1 3) (pow a2 2))) (* -1 (/ (pow a1 4) (pow a2 3))))) a2)) 1))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(pow a1 3)
(* (pow a1 3) (+ 1 (/ (pow a2 3) (pow a1 3))))
(* (pow a1 3) (+ 1 (/ (pow a2 3) (pow a1 3))))
(* (pow a1 3) (+ 1 (/ (pow a2 3) (pow a1 3))))
(* -1 (pow a1 3))
(* -1 (* (pow a1 3) (+ 1 (* -1 (/ (pow a2 3) (pow a1 3))))))
(* -1 (* (pow a1 3) (+ 1 (* -1 (/ (pow a2 3) (pow a1 3))))))
(* -1 (* (pow a1 3) (+ 1 (* -1 (/ (pow a2 3) (pow a1 3))))))
(pow a1 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(pow a2 3)
(* (pow a2 3) (+ 1 (/ (pow a1 3) (pow a2 3))))
(* (pow a2 3) (+ 1 (/ (pow a1 3) (pow a2 3))))
(* (pow a2 3) (+ 1 (/ (pow a1 3) (pow a2 3))))
(* -1 (pow a2 3))
(* -1 (* (pow a2 3) (+ 1 (* -1 (/ (pow a1 3) (pow a2 3))))))
(* -1 (* (pow a2 3) (+ 1 (* -1 (/ (pow a1 3) (pow a2 3))))))
(* -1 (* (pow a2 3) (+ 1 (* -1 (/ (pow a1 3) (pow a2 3))))))
a2
a2
a2
a2
(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 a2)
(- a1 a2)
(- a1 a2)
(- a1 a2)
a1
(* a1 (+ 1 (* -1 (/ a2 a1))))
(* a1 (+ 1 (* -1 (/ a2 a1))))
(* a1 (+ 1 (* -1 (/ a2 a1))))
a1
(* -1 (* a1 (- (/ a2 a1) 1)))
(* -1 (* a1 (- (/ a2 a1) 1)))
(* -1 (* a1 (- (/ a2 a1) 1)))
a1
(+ a1 (* -1 a2))
(+ a1 (* -1 a2))
(+ a1 (* -1 a2))
(* -1 a2)
(* a2 (- (/ a1 a2) 1))
(* a2 (- (/ a1 a2) 1))
(* a2 (- (/ a1 a2) 1))
(* -1 a2)
(* -1 (* a2 (+ 1 (* -1 (/ a1 a2)))))
(* -1 (* a2 (+ 1 (* -1 (/ a1 a2)))))
(* -1 (* a2 (+ 1 (* -1 (/ a1 a2)))))
(* -1 (* (pow a2 2) (sqrt 2)))
(+ (* -1 (* (pow a2 2) (sqrt 2))) (* a1 (* (sqrt 2) (+ a2 (* -1 a2)))))
(+ (* -1 (* (pow a2 2) (sqrt 2))) (* a1 (+ (* a1 (sqrt 2)) (* (sqrt 2) (+ a2 (* -1 a2))))))
(+ (* -1 (* (pow a2 2) (sqrt 2))) (* a1 (+ (* a1 (sqrt 2)) (* (sqrt 2) (+ a2 (* -1 a2))))))
(* (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (sqrt 2) (/ (* (sqrt 2) (+ a2 (* -1 a2))) a1)))
(* (pow a1 2) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (sqrt 2) (+ a2 (* -1 a2))) a1))))
(* (pow a1 2) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (sqrt 2) (+ a2 (* -1 a2))) a1))))
(* (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (sqrt 2) (/ (* (sqrt 2) (+ a2 (* -1 a2))) a1)))
(* (pow a1 2) (+ (sqrt 2) (* -1 (/ (+ (* -1 (* (sqrt 2) (+ a2 (* -1 a2)))) (/ (* (pow a2 2) (sqrt 2)) a1)) a1))))
(* (pow a1 2) (+ (sqrt 2) (* -1 (/ (+ (* -1 (* (sqrt 2) (+ a2 (* -1 a2)))) (/ (* (pow a2 2) (sqrt 2)) a1)) a1))))
(* (pow a1 2) (sqrt 2))
(+ (* a2 (* (sqrt 2) (+ a1 (* -1 a1)))) (* (pow a1 2) (sqrt 2)))
(+ (* a2 (+ (* -1 (* a2 (sqrt 2))) (* (sqrt 2) (+ a1 (* -1 a1))))) (* (pow a1 2) (sqrt 2)))
(+ (* a2 (+ (* -1 (* a2 (sqrt 2))) (* (sqrt 2) (+ a1 (* -1 a1))))) (* (pow a1 2) (sqrt 2)))
(* -1 (* (pow a2 2) (sqrt 2)))
(* (pow a2 2) (+ (* -1 (sqrt 2)) (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2)))
(* (pow a2 2) (+ (* -1 (sqrt 2)) (+ (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* (pow a2 2) (+ (* -1 (sqrt 2)) (+ (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* -1 (* (pow a2 2) (sqrt 2)))
(* (pow a2 2) (+ (* -1 (sqrt 2)) (* -1 (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2))))
(* (pow a2 2) (+ (* -1 (sqrt 2)) (* -1 (/ (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) a2)) (* (sqrt 2) (+ a1 (* -1 a1)))) a2))))
(* (pow a2 2) (+ (* -1 (sqrt 2)) (* -1 (/ (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) a2)) (* (sqrt 2) (+ a1 (* -1 a1)))) a2))))

Outputs
(/ (* (pow a1 4) (cos th)) (sqrt 2))
(.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 a1 a1) (.f64 a1 a1) (.f64 (.f64 a2 (.f64 a2 a2)) a2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 a1 a1) (.f64 a1 a1) (.f64 (.f64 a2 (.f64 a2 a2)) a2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 a1 a1) (.f64 a1 a1) (.f64 (.f64 a2 (.f64 a2 a2)) a2)))
(/ (* (pow a2 5) (cos th)) (sqrt 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 5 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))
(.f64 (pow.f64 a2 #s(literal 5 binary64)) (.f64 (+.f64 (/.f64 (pow.f64 a1 #s(literal 5 binary64)) (pow.f64 a2 #s(literal 5 binary64))) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))
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(pow a1 6)
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(* (pow a1 6) (+ 1 (/ a2 a1)))
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(* (pow a1 6) (+ 1 (+ (/ a2 a1) (/ (pow a2 5) (pow a1 5)))))
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(* (pow a1 4) (- (* -1 (/ (+ a2 (* -1 (/ (pow a2 3) (pow a1 2)))) a1)) 1))
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(pow a1 4)
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(pow a2 6)
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(* (pow a2 6) (+ 1 (+ (/ a1 a2) (/ (pow a1 5) (pow a2 5)))))
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(* (pow a2 6) (+ 1 (+ (/ a1 a2) (+ (/ (pow a1 5) (pow a2 5)) (/ (pow a1 6) (pow a2 6))))))
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(* (pow a2 4) (- (* -1 (/ (+ a1 (* -1 (/ (pow a1 3) (pow a2 2)))) a2)) 1))
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(* (pow a2 4) (- (* -1 (/ (+ a1 (+ (* -1 (/ (pow a1 3) (pow a2 2))) (* -1 (/ (pow a1 4) (pow a2 3))))) a2)) 1))
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(.f64 (.f64 a1 a1) (.f64 a1 (fma.f64 (.f64 a2 a2) (/.f64 a2 (.f64 a1 (.f64 a1 a1))) #s(literal 1 binary64))))
(* (pow a1 3) (+ 1 (/ (pow a2 3) (pow a1 3))))
(.f64 (.f64 a1 a1) (.f64 a1 (fma.f64 (.f64 a2 a2) (/.f64 a2 (.f64 a1 (.f64 a1 a1))) #s(literal 1 binary64))))
(* (pow a1 3) (+ 1 (/ (pow a2 3) (pow a1 3))))
(.f64 (.f64 a1 a1) (.f64 a1 (fma.f64 (.f64 a2 a2) (/.f64 a2 (.f64 a1 (.f64 a1 a1))) #s(literal 1 binary64))))
(* -1 (pow a1 3))
(neg.f64 (.f64 a1 (.f64 a1 a1)))
(* -1 (* (pow a1 3) (+ 1 (* -1 (/ (pow a2 3) (pow a1 3))))))
(.f64 (neg.f64 (.f64 a1 (.f64 a1 a1))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a1 (*.f64 a1 a1)))))
(* -1 (* (pow a1 3) (+ 1 (* -1 (/ (pow a2 3) (pow a1 3))))))
(.f64 (neg.f64 (.f64 a1 (.f64 a1 a1))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a1 (*.f64 a1 a1)))))
(* -1 (* (pow a1 3) (+ 1 (* -1 (/ (pow a2 3) (pow a1 3))))))
(.f64 (neg.f64 (.f64 a1 (.f64 a1 a1))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a1 (*.f64 a1 a1)))))
(pow a1 2)
(*.f64 a1 a1)
(+ (pow a1 2) (pow a2 2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(+ (pow a1 2) (pow a2 2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(+ (pow a1 2) (pow a2 2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(pow a2 3)
(.f64 a2 (.f64 a2 a2))
(* (pow a2 3) (+ 1 (/ (pow a1 3) (pow a2 3))))
(.f64 (.f64 a2 a2) (.f64 a2 (fma.f64 (.f64 a1 a1) (/.f64 a1 (.f64 a2 (.f64 a2 a2))) #s(literal 1 binary64))))
(* (pow a2 3) (+ 1 (/ (pow a1 3) (pow a2 3))))
(.f64 (.f64 a2 a2) (.f64 a2 (fma.f64 (.f64 a1 a1) (/.f64 a1 (.f64 a2 (.f64 a2 a2))) #s(literal 1 binary64))))
(* (pow a2 3) (+ 1 (/ (pow a1 3) (pow a2 3))))
(.f64 (.f64 a2 a2) (.f64 a2 (fma.f64 (.f64 a1 a1) (/.f64 a1 (.f64 a2 (.f64 a2 a2))) #s(literal 1 binary64))))
(* -1 (pow a2 3))
(.f64 a2 (.f64 a2 (neg.f64 a2)))
(* -1 (* (pow a2 3) (+ 1 (* -1 (/ (pow a1 3) (pow a2 3))))))
(.f64 (.f64 a2 (.f64 a2 (neg.f64 a2))) (fma.f64 (.f64 a1 (neg.f64 a1)) (/.f64 a1 (.f64 a2 (.f64 a2 a2))) #s(literal 1 binary64)))
(* -1 (* (pow a2 3) (+ 1 (* -1 (/ (pow a1 3) (pow a2 3))))))
(.f64 (.f64 a2 (.f64 a2 (neg.f64 a2))) (fma.f64 (.f64 a1 (neg.f64 a1)) (/.f64 a1 (.f64 a2 (.f64 a2 a2))) #s(literal 1 binary64)))
(* -1 (* (pow a2 3) (+ 1 (* -1 (/ (pow a1 3) (pow a2 3))))))
(.f64 (.f64 a2 (.f64 a2 (neg.f64 a2))) (fma.f64 (.f64 a1 (neg.f64 a1)) (/.f64 a1 (.f64 a2 (.f64 a2 a2))) #s(literal 1 binary64)))
a2
a2
a2
a2
(pow a2 2)
(*.f64 a2 a2)
(pow a2 2)
(*.f64 a2 a2)
(pow a2 2)
(*.f64 a2 a2)
(pow a2 2)
(*.f64 a2 a2)
(pow a2 2)
(*.f64 a2 a2)
(pow a2 2)
(*.f64 a2 a2)
(pow a2 2)
(*.f64 a2 a2)
(pow a2 2)
(*.f64 a2 a2)
(* -1 a2)
(neg.f64 a2)
(- a1 a2)
(-.f64 a1 a2)
(- a1 a2)
(-.f64 a1 a2)
(- a1 a2)
(-.f64 a1 a2)
a1
(* a1 (+ 1 (* -1 (/ a2 a1))))
(-.f64 a1 (*.f64 (/.f64 a2 a1) a1))
(* a1 (+ 1 (* -1 (/ a2 a1))))
(-.f64 a1 (*.f64 (/.f64 a2 a1) a1))
(* a1 (+ 1 (* -1 (/ a2 a1))))
(-.f64 a1 (*.f64 (/.f64 a2 a1) a1))
a1
(* -1 (* a1 (- (/ a2 a1) 1)))
(-.f64 a1 (*.f64 (/.f64 a2 a1) a1))
(* -1 (* a1 (- (/ a2 a1) 1)))
(-.f64 a1 (*.f64 (/.f64 a2 a1) a1))
(* -1 (* a1 (- (/ a2 a1) 1)))
(-.f64 a1 (*.f64 (/.f64 a2 a1) a1))
a1
(+ a1 (* -1 a2))
(-.f64 a1 a2)
(+ a1 (* -1 a2))
(-.f64 a1 a2)
(+ a1 (* -1 a2))
(-.f64 a1 a2)
(* -1 a2)
(neg.f64 a2)
(* a2 (- (/ a1 a2) 1))
(-.f64 (*.f64 a2 (/.f64 a1 a2)) a2)
(* a2 (- (/ a1 a2) 1))
(-.f64 (*.f64 a2 (/.f64 a1 a2)) a2)
(* a2 (- (/ a1 a2) 1))
(-.f64 (*.f64 a2 (/.f64 a1 a2)) a2)
(* -1 a2)
(neg.f64 a2)
(* -1 (* a2 (+ 1 (* -1 (/ a1 a2)))))
(-.f64 (*.f64 a2 (/.f64 a1 a2)) a2)
(* -1 (* a2 (+ 1 (* -1 (/ a1 a2)))))
(-.f64 (*.f64 a2 (/.f64 a1 a2)) a2)
(* -1 (* a2 (+ 1 (* -1 (/ a1 a2)))))
(-.f64 (*.f64 a2 (/.f64 a1 a2)) a2)
(* -1 (* (pow a2 2) (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (neg.f64 a2)))
(+ (* -1 (* (pow a2 2) (sqrt 2))) (* a1 (* (sqrt 2) (+ a2 (* -1 a2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (neg.f64 a2)))
(+ (* -1 (* (pow a2 2) (sqrt 2))) (* a1 (+ (* a1 (sqrt 2)) (* (sqrt 2) (+ a2 (* -1 a2))))))
(-.f64 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)))
(+ (* -1 (* (pow a2 2) (sqrt 2))) (* a1 (+ (* a1 (sqrt 2)) (* (sqrt 2) (+ a2 (* -1 a2))))))
(-.f64 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)))
(* (pow a1 2) (sqrt 2))
(.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (sqrt 2) (/ (* (sqrt 2) (+ a2 (* -1 a2))) a1)))
(.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (sqrt 2) (+ a2 (* -1 a2))) a1))))
(.f64 (.f64 a1 a1) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) (.f64 a2 (neg.f64 a2)) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (sqrt 2) (+ a2 (* -1 a2))) a1))))
(.f64 (.f64 a1 a1) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1)) (.f64 a2 (neg.f64 a2)) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (sqrt 2))
(.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (sqrt 2) (/ (* (sqrt 2) (+ a2 (* -1 a2))) a1)))
(.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (sqrt 2) (* -1 (/ (+ (* -1 (* (sqrt 2) (+ a2 (* -1 a2)))) (/ (* (pow a2 2) (sqrt 2)) a1)) a1))))
(.f64 (.f64 a1 a1) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (*.f64 a1 a1)) #s(literal 0 binary64))))
(* (pow a1 2) (+ (sqrt 2) (* -1 (/ (+ (* -1 (* (sqrt 2) (+ a2 (* -1 a2)))) (/ (* (pow a2 2) (sqrt 2)) a1)) a1))))
(.f64 (.f64 a1 a1) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)) (*.f64 a1 a1)) #s(literal 0 binary64))))
(* (pow a1 2) (sqrt 2))
(.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(+ (* a2 (* (sqrt 2) (+ a1 (* -1 a1)))) (* (pow a1 2) (sqrt 2)))
(.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(+ (* a2 (+ (* -1 (* a2 (sqrt 2))) (* (sqrt 2) (+ a1 (* -1 a1))))) (* (pow a1 2) (sqrt 2)))
(-.f64 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)))
(+ (* a2 (+ (* -1 (* a2 (sqrt 2))) (* (sqrt 2) (+ a1 (* -1 a1))))) (* (pow a1 2) (sqrt 2)))
(-.f64 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2)))
(* -1 (* (pow a2 2) (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (neg.f64 a2)))
(* (pow a2 2) (+ (* -1 (sqrt 2)) (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (neg.f64 a2)))
(* (pow a2 2) (+ (* -1 (sqrt 2)) (+ (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(.f64 (.f64 a2 a2) (-.f64 (/.f64 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (+ (* -1 (sqrt 2)) (+ (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(.f64 (.f64 a2 a2) (-.f64 (/.f64 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* (pow a2 2) (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (neg.f64 a2)))
(* (pow a2 2) (+ (* -1 (sqrt 2)) (* -1 (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (neg.f64 a2)))
(* (pow a2 2) (+ (* -1 (sqrt 2)) (* -1 (/ (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) a2)) (* (sqrt 2) (+ a1 (* -1 a1)))) a2))))
(.f64 (.f64 a2 (neg.f64 a2)) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
(* (pow a2 2) (+ (* -1 (sqrt 2)) (* -1 (/ (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) a2)) (* (sqrt 2) (+ a1 (* -1 a1)))) a2))))
(.f64 (.f64 a2 (neg.f64 a2)) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))

eval336.0ms (3.1%)

Memory: 47.9MiB live, 305.0MiB allocated
Compiler: Compiled 67 834 to 4 092 computations (94% saved)

prune340.0ms (3.1%)

Memory

1.1MiB live, 328.4MiB allocated

Pruning

53 alts after pruning (49 fresh and 4 done)

	Pruned	Kept	Total
New	1 869	33	1 902
Fresh	11	16	27
Picked	2	3	5
Done	0	1	1
Total	1 882	53	1 935

Accuracy

100.0%

Counts

1 935 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.0%	(fma.f64 (/.f64 a2 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (.f64 a2 (.f64 a1 a1)) (/.f64 (*.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	31.8%	(fma.f64 (.f64 (/.f64 (.f64 a2 a2) (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) a1) a1 (/.f64 (*.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	59.6%	(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
	22.4%	(/.f64 (fma.f64 (.f64 a2 (.f64 a2 (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (.f64 a1 a1)))) (.f64 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
▶	55.0%	(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (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))))
✓	99.6%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
▶	99.6%	(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
	59.6%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
	99.5%	(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))))
	99.6%	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
	51.5%	(/.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (+.f64 a2 a1) (.f64 (+.f64 a2 a1) (-.f64 a1 a2)))) (*.f64 (cos.f64 th) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
	82.2%	(/.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (+.f64 a2 a1)) (/.f64 (cos.f64 th) (+.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64)))
	14.0%	(/.f64 (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (+.f64 a1 a2)) (.f64 (-.f64 a1 a2) #s(literal 1 binary64))) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
	14.0%	(/.f64 (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
	26.7%	(/.f64 (.f64 (.f64 (.f64 a2 a2) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (cos.f64 th)) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
	59.4%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
	24.5%	(/.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
✓	14.2%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
	98.8%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
▶	99.6%	(/.f64 (cos.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
	99.5%	(/.f64 (cos.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
▶	3.6%	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
	59.6%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))))
	55.1%	(-.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
▶	26.7%	(+.f64 (/.f64 (.f64 a2 (.f64 a2 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	99.6%	(.f64 (fma.f64 (cos.f64 th) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1)))) #s(literal 1/2 binary64))
	99.5%	(.f64 (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 th))
	51.4%	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (-.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a1 a2))))))
	99.6%	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
	55.0%	(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (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)))
	57.7%	(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 th th) (fma.f64 th (.f64 th (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	59.2%	(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))
✓	99.6%	(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
	99.6%	(.f64 (/.f64 (/.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (-.f64 a1 a2)) (/.f64 #s(literal 1 binary64) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
	82.2%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a1 a2) (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (+.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
	98.9%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
	14.2%	(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
	51.5%	(.f64 (+.f64 a2 a1) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 a2 a1) (-.f64 a1 a2))))))
	17.5%	(.f64 (.f64 a2 a2) (fma.f64 a1 (/.f64 a1 (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
	48.0%	(.f64 (.f64 a2 a2) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
	33.8%	(.f64 (.f64 a1 (fma.f64 a2 (/.f64 a2 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))) a1)
	33.2%	(.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 (/.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a1) a1) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
	33.2%	(.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 (/.f64 a2 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
	27.0%	(.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 (/.f64 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
✓	26.8%	(.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
	26.4%	(.f64 (.f64 a1 a1) (fma.f64 a2 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) a2) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
	36.5%	(.f64 (.f64 a1 a1) (/.f64 (fma.f64 (/.f64 (.f64 a2 a2) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 #s(literal -1 binary64))) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
	25.0%	(.f64 (.f64 a1 a1) (/.f64 (fma.f64 (/.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
	24.8%	(.f64 (.f64 a1 a1) (/.f64 (fma.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))
	24.8%	(.f64 (.f64 a1 a1) (/.f64 (.f64 a2 a2) (.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
	59.4%	(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 2 082 to 1 259 computations (39.5% saved)

simplify267.0ms (2.5%)

Memory

-23.4MiB live, 462.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(cos.f64 th)
✓	cost-diff	384	(/.f64 (cos.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 a2 (.f64 a1 a1))
✓	cost-diff	0	(.f64 a2 (.f64 a2 (*.f64 a1 a1)))
✓	cost-diff	1280	(/.f64 (.f64 a2 (.f64 a2 (.f64 a1 a1))) (.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
✓	cost-diff	1600	(+.f64 (/.f64 (.f64 a2 (.f64 a2 (.f64 a1 a1))) (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
✓	cost-diff	0	(/.f64 (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)))
✓	cost-diff	0	(*.f64 a1 a1)
✓	cost-diff	0	(fma.f64 a2 a2 (*.f64 a1 a1))
✓	cost-diff	384	(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (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))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 a1 a1)
✓	cost-diff	0	(fma.f64 a2 a2 (*.f64 a1 a1))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	384	(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))

Rules

8 652×	`lower-fma.f32`
8 646×	`lower-fma.f64`
4 392×	`lower-*.f32`
4 378×	`lower-*.f64`
2 202×	`lower-+.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	31	252
0	58	252
1	108	243
2	273	231
3	888	226
4	2467	225
5	4336	224
6	7223	224
0	8127	224

Stop Event

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

Calls

Call 1

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

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

localize121.0ms (1.1%)

Memory

-2.0MiB live, 192.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	4.4%	(fma.f64 a2 a2 (*.f64 a1 a1))
✓	accuracy	4.3%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	3.3%	(/.f64 (cos.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
✓	accuracy	2.3%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	5.3%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	4.1%	(.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	2.6%	(/.f64 (*.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	1.6%	(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	5.3%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	4.4%	(fma.f64 a2 a2 (*.f64 a1 a1))
✓	accuracy	4.2%	(*.f64 th th)
✓	accuracy	4.0%	(/.f64 (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)))
✓	accuracy	99.4%	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	5.3%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	48.2%	(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	5.3%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	4.4%	(fma.f64 a2 a2 (*.f64 a1 a1))
✓	accuracy	3.3%	(/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))

Samples

70.0ms

256×

valid

Compiler

Compiled 524 to 67 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-div: 15.0ms (32.2% of total)

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

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

ival-add: 4.0ms (8.6% of total)

const: 4.0ms (8.6% of total)

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

ival-neg: 1.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series67.0ms (0.6%)

Memory

-5.6MiB live, 112.5MiB allocated

Counts

20 → 372

Calls

Call 1

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

Outputs
#<alt (/ (* (pow a1 4) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a2 5) (cos th)) (sqrt 2))>
#<alt (* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))>
#<alt (* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))>
#<alt (* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))>
#<alt (* -1 (/ (* (pow a2 5) (cos th)) (sqrt 2)))>
#<alt (* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (/ (* (pow a2 4) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a1 5) (cos th)) (sqrt 2))>
#<alt (* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))>
#<alt (* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))>
#<alt (* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))>
#<alt (* -1 (/ (* (pow a1 5) (cos th)) (sqrt 2)))>
#<alt (* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))>
#<alt (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* 1/2 (* (pow th 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))>
#<alt (+ (sqrt 2) (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (sqrt 2)) (+ (* 1/48 (sqrt 2)) (* 1/2 (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2)))))))) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))>
#<alt (/ (sqrt 2) (cos th))>
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#<alt (* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))>
#<alt (* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))>
#<alt (* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))>
#<alt (* -1 (/ (* (pow a2 5) (cos th)) (sqrt 2)))>
#<alt (* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (/ (* (pow a2 4) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a1 5) (cos th)) (sqrt 2))>
#<alt (* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))>
#<alt (* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))>
#<alt (* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))>
#<alt (* -1 (/ (* (pow a1 5) (cos th)) (sqrt 2)))>
#<alt (* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))>
#<alt (* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 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)>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (/ (pow a2 3) (sqrt 2))>
#<alt (* (pow a2 3) (+ (/ 1 (sqrt 2)) (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))))>
#<alt (* (pow a2 3) (+ (/ 1 (sqrt 2)) (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))))>
#<alt (* (pow a2 3) (+ (/ 1 (sqrt 2)) (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))))>
#<alt (* -1 (/ (pow a2 3) (sqrt 2)))>
#<alt (* -1 (* (pow a2 3) (+ (* -1 (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))) (/ 1 (sqrt 2)))))>
#<alt (* -1 (* (pow a2 3) (+ (* -1 (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))) (/ 1 (sqrt 2)))))>
#<alt (* -1 (* (pow a2 3) (+ (* -1 (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))) (/ 1 (sqrt 2)))))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (/ (pow a1 3) (sqrt 2))>
#<alt (* (pow a1 3) (+ (/ 1 (sqrt 2)) (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))))>
#<alt (* (pow a1 3) (+ (/ 1 (sqrt 2)) (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))))>
#<alt (* (pow a1 3) (+ (/ 1 (sqrt 2)) (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))))>
#<alt (* -1 (/ (pow a1 3) (sqrt 2)))>
#<alt (* -1 (* (pow a1 3) (+ (* -1 (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))) (/ 1 (sqrt 2)))))>
#<alt (* -1 (* (pow a1 3) (+ (* -1 (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))) (/ 1 (sqrt 2)))))>
#<alt (* -1 (* (pow a1 3) (+ (* -1 (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))) (/ 1 (sqrt 2)))))>
#<alt th>
#<alt th>
#<alt th>
#<alt th>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (* -1 (/ (pow a1 2) (sqrt 2)))>
#<alt (* -1 (/ (pow a1 2) (sqrt 2)))>
#<alt (* -1 (/ (pow a1 2) (sqrt 2)))>
#<alt (* -1 (/ (pow a1 2) (sqrt 2)))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (* a1 (sqrt 2))>
#<alt (* a1 (sqrt 2))>
#<alt (* a1 (sqrt 2))>
#<alt (* a1 (sqrt 2))>
#<alt (* a1 (sqrt 2))>
#<alt (* a1 (sqrt 2))>
#<alt (* a1 (sqrt 2))>
#<alt (* a1 (sqrt 2))>
#<alt (* -1 (* a1 (sqrt 2)))>
#<alt (* -1 (* a1 (sqrt 2)))>
#<alt (* -1 (* a1 (sqrt 2)))>
#<alt (* -1 (* a1 (sqrt 2)))>

Calls

93 calls:

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

Compiler

Compiled 1 234 to 877 computations (28.9% saved)

rewrite303.0ms (2.8%)

Memory

38.3MiB live, 429.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 008×	`lower-fma.f32`
5 002×	`lower-fma.f64`
4 926×	`lower-/.f32`
4 906×	`lower-/.f64`
3 870×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	174
0	58	174
1	230	159
2	1960	151
0	8178	151

Stop Event

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

Counts

20 → 930

Calls

Call 1

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

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

simplify384.0ms (3.5%)

Memory

-9.5MiB live, 619.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 972×	`lower-fma.f64`
11 972×	`lower-fma.f32`
6 078×	`lower-*.f64`
6 078×	`lower-*.f32`
3 908×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	369	5416
1	1142	5231
2	3939	4977
0	8575	4798

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 364

Calls

Call 1

Inputs
(/ (* (pow a1 4) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(/ (* (pow a2 5) (cos th)) (sqrt 2))
(* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))
(* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))
(* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))
(* -1 (/ (* (pow a2 5) (cos th)) (sqrt 2)))
(* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(/ (* (pow a2 4) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(/ (* (pow a1 5) (cos th)) (sqrt 2))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(* -1 (/ (* (pow a1 5) (cos th)) (sqrt 2)))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(sqrt 2)
(+ (sqrt 2) (* 1/2 (* (pow th 2) (sqrt 2))))
(+ (sqrt 2) (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
(+ (sqrt 2) (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (sqrt 2)) (+ (* 1/48 (sqrt 2)) (* 1/2 (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2)))))))) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(/ (sqrt 2) (cos th))
(pow a1 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(pow a2 3)
(* (pow a2 3) (+ 1 (/ (pow a1 3) (pow a2 3))))
(* (pow a2 3) (+ 1 (/ (pow a1 3) (pow a2 3))))
(* (pow a2 3) (+ 1 (/ (pow a1 3) (pow a2 3))))
(* -1 (pow a2 3))
(* -1 (* (pow a2 3) (+ 1 (* -1 (/ (pow a1 3) (pow a2 3))))))
(* -1 (* (pow a2 3) (+ 1 (* -1 (/ (pow a1 3) (pow a2 3))))))
(* -1 (* (pow a2 3) (+ 1 (* -1 (/ (pow a1 3) (pow a2 3))))))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(pow a1 3)
(* (pow a1 3) (+ 1 (/ (pow a2 3) (pow a1 3))))
(* (pow a1 3) (+ 1 (/ (pow a2 3) (pow a1 3))))
(* (pow a1 3) (+ 1 (/ (pow a2 3) (pow a1 3))))
(* -1 (pow a1 3))
(* -1 (* (pow a1 3) (+ 1 (* -1 (/ (pow a2 3) (pow a1 3))))))
(* -1 (* (pow a1 3) (+ 1 (* -1 (/ (pow a2 3) (pow a1 3))))))
(* -1 (* (pow a1 3) (+ 1 (* -1 (/ (pow a2 3) (pow a1 3))))))
a1
a1
a1
a1
(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 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(* -1 (/ a1 (sqrt 2)))
(* -1 (/ a1 (sqrt 2)))
(* -1 (/ a1 (sqrt 2)))
(* -1 (/ a1 (sqrt 2)))
(/ (* (pow a1 4) (+ 1 (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)))) (sqrt 2))
(+ (* (pow a2 4) (+ (/ 1 (sqrt 2)) (/ (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)) (sqrt 2)))) (/ (* (pow a1 4) (+ 1 (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)))) (sqrt 2)))
(+ (* (pow a2 4) (+ (/ 1 (sqrt 2)) (/ (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)) (sqrt 2)))) (/ (* (pow a1 4) (+ 1 (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)))) (sqrt 2)))
(+ (* (pow a2 4) (+ (/ 1 (sqrt 2)) (/ (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)) (sqrt 2)))) (/ (* (pow a1 4) (+ 1 (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)))) (sqrt 2)))
(/ (* (pow a2 4) (+ 1 (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)))) (sqrt 2))
(* (pow a2 4) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a1 4) (+ 1 (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)))) (* (pow a2 4) (sqrt 2))) (/ (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)) (sqrt 2)))))
(* (pow a2 4) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a1 4) (+ 1 (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)))) (* (pow a2 4) (sqrt 2))) (/ (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)) (sqrt 2)))))
(* (pow a2 4) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a1 4) (+ 1 (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)))) (* (pow a2 4) (sqrt 2))) (/ (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)) (sqrt 2)))))
(/ (* (pow a2 4) (+ 1 (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)))) (sqrt 2))
(* (pow a2 4) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a1 4) (+ 1 (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)))) (* (pow a2 4) (sqrt 2))) (/ (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)) (sqrt 2)))))
(* (pow a2 4) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a1 4) (+ 1 (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)))) (* (pow a2 4) (sqrt 2))) (/ (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)) (sqrt 2)))))
(* (pow a2 4) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a1 4) (+ 1 (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)))) (* (pow a2 4) (sqrt 2))) (/ (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)) (sqrt 2)))))
(/ (* (pow a2 4) (+ 1 (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)))) (sqrt 2))
(+ (* (pow a1 4) (+ (/ 1 (sqrt 2)) (/ (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)) (sqrt 2)))) (/ (* (pow a2 4) (+ 1 (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)))) (sqrt 2)))
(+ (* (pow a1 4) (+ (/ 1 (sqrt 2)) (/ (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)) (sqrt 2)))) (/ (* (pow a2 4) (+ 1 (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)))) (sqrt 2)))
(+ (* (pow a1 4) (+ (/ 1 (sqrt 2)) (/ (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)) (sqrt 2)))) (/ (* (pow a2 4) (+ 1 (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)))) (sqrt 2)))
(/ (* (pow a1 4) (+ 1 (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)))) (sqrt 2))
(* (pow a1 4) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a2 4) (+ 1 (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)))) (* (pow a1 4) (sqrt 2))) (/ (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)) (sqrt 2)))))
(* (pow a1 4) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a2 4) (+ 1 (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)))) (* (pow a1 4) (sqrt 2))) (/ (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)) (sqrt 2)))))
(* (pow a1 4) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a2 4) (+ 1 (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)))) (* (pow a1 4) (sqrt 2))) (/ (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)) (sqrt 2)))))
(/ (* (pow a1 4) (+ 1 (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)))) (sqrt 2))
(* (pow a1 4) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a2 4) (+ 1 (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)))) (* (pow a1 4) (sqrt 2))) (/ (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)) (sqrt 2)))))
(* (pow a1 4) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a2 4) (+ 1 (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)))) (* (pow a1 4) (sqrt 2))) (/ (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)) (sqrt 2)))))
(* (pow a1 4) (+ (/ 1 (sqrt 2)) (+ (/ (* (pow a2 4) (+ 1 (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)))) (* (pow a1 4) (sqrt 2))) (/ (* (pow th 4) (- (* 1/24 (pow th 4)) 1/2)) (sqrt 2)))))
(/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 4) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))
(+ (* (pow th 4) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* 1/24 (/ (* (pow th 4) (+ (pow a1 4) (pow a2 4))) (sqrt 2))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))
(+ (* (pow th 4) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* 1/24 (/ (* (pow th 4) (+ (pow a1 4) (pow a2 4))) (sqrt 2))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))
(* 1/24 (/ (* (pow th 9) (+ (pow a1 3) (pow a2 3))) (sqrt 2)))
(* (pow th 9) (+ (* -1/2 (/ (+ (pow a1 3) (pow a2 3)) (* (pow th 6) (sqrt 2)))) (* 1/24 (/ (+ (pow a1 3) (pow a2 3)) (sqrt 2)))))
(* (pow th 9) (+ (* -1/2 (/ (+ (pow a1 3) (pow a2 3)) (* (pow th 6) (sqrt 2)))) (+ (* 1/24 (/ (+ (pow a1 3) (pow a2 3)) (sqrt 2))) (+ (/ (pow a1 3) (* (pow th 9) (sqrt 2))) (/ (pow a2 3) (* (pow th 9) (sqrt 2)))))))
(* (pow th 9) (+ (* -1/2 (/ (+ (pow a1 3) (pow a2 3)) (* (pow th 6) (sqrt 2)))) (+ (* 1/24 (/ (+ (pow a1 3) (pow a2 3)) (sqrt 2))) (+ (/ (pow a1 3) (* (pow th 9) (sqrt 2))) (/ (pow a2 3) (* (pow th 9) (sqrt 2)))))))
(* -1/24 (/ (* (pow th 9) (+ (pow a1 3) (pow a2 3))) (sqrt 2)))
(* -1 (* (pow th 9) (+ (* -1/2 (/ (+ (pow a1 3) (pow a2 3)) (* (pow th 6) (sqrt 2)))) (* 1/24 (/ (+ (pow a1 3) (pow a2 3)) (sqrt 2))))))
(* -1 (* (pow th 9) (+ (* -1 (/ (+ (/ (pow a1 3) (sqrt 2)) (/ (pow a2 3) (sqrt 2))) (pow th 9))) (+ (* -1/2 (/ (+ (pow a1 3) (pow a2 3)) (* (pow th 6) (sqrt 2)))) (* 1/24 (/ (+ (pow a1 3) (pow a2 3)) (sqrt 2)))))))
(* -1 (* (pow th 9) (+ (* -1 (/ (+ (/ (pow a1 3) (sqrt 2)) (/ (pow a2 3) (sqrt 2))) (pow th 9))) (+ (* -1/2 (/ (+ (pow a1 3) (pow a2 3)) (* (pow th 6) (sqrt 2)))) (* 1/24 (/ (+ (pow a1 3) (pow a2 3)) (sqrt 2)))))))
(sqrt 2)
(+ (sqrt 2) (* 1/2 (* th (sqrt 2))))
(+ (sqrt 2) (* th (- (* -1 (* th (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
(+ (sqrt 2) (* th (- (* th (- (* -1 (* th (+ (* 1/48 (sqrt 2)) (* 1/2 (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))))) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
(* 24 (/ (sqrt 2) (pow th 5)))
(/ (+ (* 24 (sqrt 2)) (* 288 (/ (sqrt 2) (pow th 4)))) (pow th 5))
(/ (- (+ (* -576 (/ (sqrt 2) (pow th 5))) (* 24 (sqrt 2))) (* -288 (/ (sqrt 2) (pow th 4)))) (pow th 5))
(/ (- (+ (* 24 (sqrt 2)) (* 3456 (/ (sqrt 2) (pow th 8)))) (+ (* -288 (/ (sqrt 2) (pow th 4))) (* 576 (/ (sqrt 2) (pow th 5))))) (pow th 5))
(* -24 (/ (sqrt 2) (pow th 5)))
(* -1 (/ (+ (* 24 (sqrt 2)) (* 288 (/ (sqrt 2) (pow th 4)))) (pow th 5)))
(* -1 (/ (- (+ (* 24 (sqrt 2)) (* 576 (/ (sqrt 2) (pow th 5)))) (* -288 (/ (sqrt 2) (pow th 4)))) (pow th 5)))
(* -1 (/ (- (+ (* -1 (/ (- (* -3456 (/ (sqrt 2) (pow th 3))) (* 576 (sqrt 2))) (pow th 5))) (* 24 (sqrt 2))) (* -288 (/ (sqrt 2) (pow th 4)))) (pow th 5)))
(* -1 (/ (pow a1 3) (sqrt 2)))
(+ (* -1 (/ (pow a1 3) (sqrt 2))) (/ (pow a2 3) (sqrt 2)))
(+ (* -1 (/ (pow a1 3) (sqrt 2))) (/ (pow a2 3) (sqrt 2)))
(+ (* -1 (/ (pow a1 3) (sqrt 2))) (/ (pow a2 3) (sqrt 2)))
(/ (pow a2 3) (sqrt 2))
(* (pow a2 3) (+ (* -1 (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))) (/ 1 (sqrt 2))))
(* (pow a2 3) (+ (* -1 (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))) (/ 1 (sqrt 2))))
(* (pow a2 3) (+ (* -1 (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))) (/ 1 (sqrt 2))))
(* -1 (/ (pow a2 3) (sqrt 2)))
(* -1 (* (pow a2 3) (+ (/ 1 (sqrt 2)) (/ (pow a1 3) (* (pow a2 3) (sqrt 2))))))
(* -1 (* (pow a2 3) (+ (/ 1 (sqrt 2)) (/ (pow a1 3) (* (pow a2 3) (sqrt 2))))))
(* -1 (* (pow a2 3) (+ (/ 1 (sqrt 2)) (/ (pow a1 3) (* (pow a2 3) (sqrt 2))))))
(/ (pow a2 3) (sqrt 2))
(+ (* -1 (/ (pow a1 3) (sqrt 2))) (/ (pow a2 3) (sqrt 2)))
(+ (* -1 (/ (pow a1 3) (sqrt 2))) (/ (pow a2 3) (sqrt 2)))
(+ (* -1 (/ (pow a1 3) (sqrt 2))) (/ (pow a2 3) (sqrt 2)))
(* -1 (/ (pow a1 2) (sqrt 2)))
(* (pow a1 2) (- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2))))
(* (pow a1 2) (- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2))))
(* (pow a1 2) (- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2))))
(* -1 (/ (pow a1 2) (sqrt 2)))
(* (pow a1 2) (- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2))))
(* (pow a1 2) (- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2))))
(* (pow a1 2) (- (/ (pow a2 2) (* (pow a1 2) (sqrt 2))) (/ 1 (sqrt 2))))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 3) (sqrt 2))
(/ (pow a2 3) (sqrt 2))
(/ (pow a2 3) (sqrt 2))
(/ (pow a2 3) (sqrt 2))
(* -1 (/ (pow a2 3) (sqrt 2)))
(* -1 (/ (pow a2 3) (sqrt 2)))
(* -1 (/ (pow a2 3) (sqrt 2)))
(* -1 (/ (pow a2 3) (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) (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) 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 3) a2)
(* (pow a1 3) a2)
(* (pow a1 3) a2)
(* (pow a1 3) 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)
(/ (sqrt 2) (pow a1 2))
(+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 4))) (/ (sqrt 2) (pow a1 2)))
(+ (* (pow a2 2) (- (/ (* (pow a2 2) (sqrt 2)) (pow a1 6)) (/ (sqrt 2) (pow a1 4)))) (/ (sqrt 2) (pow a1 2)))
(+ (* (pow a2 2) (- (* (pow a2 2) (- (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 8))) (* -1 (/ (sqrt 2) (pow a1 6))))) (/ (sqrt 2) (pow a1 4)))) (/ (sqrt 2) (pow a1 2)))
(/ (sqrt 2) (pow a2 2))
(/ (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2))
(/ (- (+ (sqrt 2) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (pow a2 2))
(/ (- (+ (sqrt 2) (* -1 (/ (* (pow a1 6) (sqrt 2)) (pow a2 6)))) (+ (* -1 (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2))
(/ (sqrt 2) (pow a2 2))
(/ (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2))
(/ (- (+ (sqrt 2) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (pow a2 2))
(/ (- (+ (sqrt 2) (* -1 (/ (* (pow a1 6) (sqrt 2)) (pow a2 6)))) (+ (* -1 (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2))
(/ (sqrt 2) (pow a2 2))
(+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 4))) (/ (sqrt 2) (pow a2 2)))
(+ (* (pow a1 2) (- (/ (* (pow a1 2) (sqrt 2)) (pow a2 6)) (/ (sqrt 2) (pow a2 4)))) (/ (sqrt 2) (pow a2 2)))
(+ (* (pow a1 2) (- (* (pow a1 2) (- (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 8))) (* -1 (/ (sqrt 2) (pow a2 6))))) (/ (sqrt 2) (pow a2 4)))) (/ (sqrt 2) (pow a2 2)))
(/ (sqrt 2) (pow a1 2))
(/ (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))
(/ (- (+ (sqrt 2) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (pow a1 2))
(/ (- (+ (sqrt 2) (* -1 (/ (* (pow a2 6) (sqrt 2)) (pow a1 6)))) (+ (* -1 (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))
(/ (sqrt 2) (pow a1 2))
(/ (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))
(/ (- (+ (sqrt 2) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (pow a1 2))
(/ (- (+ (sqrt 2) (* -1 (/ (* (pow a2 6) (sqrt 2)) (pow a1 6)))) (+ (* -1 (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2))
(/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (pow a1 4) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(/ (* (pow a2 5) (cos th)) (sqrt 2))
(* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))
(* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))
(* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))
(* -1 (/ (* (pow a2 5) (cos th)) (sqrt 2)))
(* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(/ (* (pow a2 4) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(/ (* (pow a1 5) (cos th)) (sqrt 2))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(* -1 (/ (* (pow a1 5) (cos th)) (sqrt 2)))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
1
(+ 1 (* -1/2 (pow th 2)))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(/ (pow a1 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (pow a2 3) (sqrt 2))
(* (pow a2 3) (+ (/ 1 (sqrt 2)) (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))))
(* (pow a2 3) (+ (/ 1 (sqrt 2)) (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))))
(* (pow a2 3) (+ (/ 1 (sqrt 2)) (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))))
(* -1 (/ (pow a2 3) (sqrt 2)))
(* -1 (* (pow a2 3) (+ (* -1 (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))) (/ 1 (sqrt 2)))))
(* -1 (* (pow a2 3) (+ (* -1 (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))) (/ 1 (sqrt 2)))))
(* -1 (* (pow a2 3) (+ (* -1 (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))) (/ 1 (sqrt 2)))))
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (pow a1 3) (sqrt 2))
(* (pow a1 3) (+ (/ 1 (sqrt 2)) (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))))
(* (pow a1 3) (+ (/ 1 (sqrt 2)) (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))))
(* (pow a1 3) (+ (/ 1 (sqrt 2)) (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))))
(* -1 (/ (pow a1 3) (sqrt 2)))
(* -1 (* (pow a1 3) (+ (* -1 (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))) (/ 1 (sqrt 2)))))
(* -1 (* (pow a1 3) (+ (* -1 (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))) (/ 1 (sqrt 2)))))
(* -1 (* (pow a1 3) (+ (* -1 (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))) (/ 1 (sqrt 2)))))
th
th
th
th
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(* -1 (/ (pow a1 2) (sqrt 2)))
(* -1 (/ (pow a1 2) (sqrt 2)))
(* -1 (/ (pow a1 2) (sqrt 2)))
(* -1 (/ (pow a1 2) (sqrt 2)))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(* a1 (sqrt 2))
(* a1 (sqrt 2))
(* a1 (sqrt 2))
(* a1 (sqrt 2))
(* a1 (sqrt 2))
(* a1 (sqrt 2))
(* a1 (sqrt 2))
(* a1 (sqrt 2))
(* -1 (* a1 (sqrt 2)))
(* -1 (* a1 (sqrt 2)))
(* -1 (* a1 (sqrt 2)))
(* -1 (* a1 (sqrt 2)))

Outputs
(/ (* (pow a1 4) (cos th)) (sqrt 2))
(.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 a1 a1) (.f64 a1 a1) (.f64 (.f64 a2 a2) (.f64 a2 a2))))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 a1 a1) (.f64 a1 a1) (.f64 (.f64 a2 a2) (.f64 a2 a2))))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 a1 a1) (.f64 a1 a1) (.f64 (.f64 a2 a2) (.f64 a2 a2))))
(/ (* (pow a2 5) (cos th)) (sqrt 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))
(.f64 (+.f64 (/.f64 (pow.f64 a1 #s(literal 5 binary64)) (pow.f64 a2 #s(literal 5 binary64))) #s(literal 1 binary64)) (.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))
(.f64 (+.f64 (/.f64 (pow.f64 a1 #s(literal 5 binary64)) (pow.f64 a2 #s(literal 5 binary64))) #s(literal 1 binary64)) (.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))))
(.f64 (+.f64 (/.f64 (pow.f64 a1 #s(literal 5 binary64)) (pow.f64 a2 #s(literal 5 binary64))) #s(literal 1 binary64)) (.f64 (cos.f64 th) (/.f64 (pow.f64 a2 #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (/ (* (pow a2 5) (cos th)) (sqrt 2)))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 5 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(neg.f64 (.f64 (pow.f64 a2 #s(literal 5 binary64)) (.f64 (+.f64 (/.f64 (pow.f64 a1 #s(literal 5 binary64)) (neg.f64 (pow.f64 a2 #s(literal 5 binary64)))) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(neg.f64 (.f64 (pow.f64 a2 #s(literal 5 binary64)) (.f64 (+.f64 (/.f64 (pow.f64 a1 #s(literal 5 binary64)) (neg.f64 (pow.f64 a2 #s(literal 5 binary64)))) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(neg.f64 (.f64 (pow.f64 a2 #s(literal 5 binary64)) (.f64 (+.f64 (/.f64 (pow.f64 a1 #s(literal 5 binary64)) (neg.f64 (pow.f64 a2 #s(literal 5 binary64)))) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(/ (* (pow a2 4) (cos th)) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 a1 a1) (.f64 a1 a1) (.f64 (.f64 a2 a2) (.f64 a2 a2))))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 a1 a1) (.f64 a1 a1) (.f64 (.f64 a2 a2) (.f64 a2 a2))))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 a1 a1) (.f64 a1 a1) (.f64 (.f64 a2 a2) (.f64 a2 a2))))
(/ (* (pow a1 5) (cos th)) (sqrt 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a1 #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(.f64 (pow.f64 a1 #s(literal 5 binary64)) (.f64 (+.f64 (/.f64 (pow.f64 a2 #s(literal 5 binary64)) (pow.f64 a1 #s(literal 5 binary64))) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(.f64 (pow.f64 a1 #s(literal 5 binary64)) (.f64 (+.f64 (/.f64 (pow.f64 a2 #s(literal 5 binary64)) (pow.f64 a1 #s(literal 5 binary64))) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(.f64 (pow.f64 a1 #s(literal 5 binary64)) (.f64 (+.f64 (/.f64 (pow.f64 a2 #s(literal 5 binary64)) (pow.f64 a1 #s(literal 5 binary64))) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (/ (* (pow a1 5) (cos th)) (sqrt 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (pow.f64 a1 #s(literal 5 binary64))))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(.f64 (pow.f64 a1 #s(literal 5 binary64)) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 a2 #s(literal 5 binary64)) (pow.f64 a1 #s(literal 5 binary64)))) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(.f64 (pow.f64 a1 #s(literal 5 binary64)) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 a2 #s(literal 5 binary64)) (pow.f64 a1 #s(literal 5 binary64)))) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(.f64 (pow.f64 a1 #s(literal 5 binary64)) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 a2 #s(literal 5 binary64)) (pow.f64 a1 #s(literal 5 binary64)))) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))
(/.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 a1) (.f64 (.f64 a2 a2) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))
(fma.f64 th (/.f64 (.f64 th (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 a1) (.f64 (.f64 a2 a2) (.f64 a2 a2))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 a1 a1) (.f64 a1 a1) (.f64 (.f64 a2 a2) (*.f64 a2 a2)))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))
(fma.f64 (.f64 th th) (.f64 (/.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 a1) (.f64 (.f64 a2 a2) (.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 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 a1 a1) (.f64 a1 a1) (.f64 (.f64 a2 a2) (.f64 a2 a2)))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 4) (pow a2 4))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 4) (pow a2 4)) (sqrt 2))))))) (+ (/ (pow a1 4) (sqrt 2)) (/ (pow a2 4) (sqrt 2))))
(fma.f64 th (.f64 th (fma.f64 (/.f64 (.f64 th (.f64 th (fma.f64 (.f64 a1 a1) (.f64 a1 a1) (.f64 (.f64 a2 a2) (.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (/.f64 (.f64 (fma.f64 (.f64 a1 a1) (.f64 a1 a1) (.f64 (.f64 a2 a2) (.f64 a2 a2))) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 a1 a1) (.f64 a1 a1) (.f64 (.f64 a2 a2) (*.f64 a2 a2)))))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* 1/2 (* (pow th 2) (sqrt 2))))
(.f64 (fma.f64 (.f64 th th) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
(fma.f64 (.f64 th th) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/24 binary64) (*.f64 th th) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (sqrt 2)) (+ (* 1/48 (sqrt 2)) (* 1/2 (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2)))))))) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))
(fma.f64 (.f64 th th) (fma.f64 (.f64 th th) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -61/720 binary64)) (.f64 th (neg.f64 th))) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(/ (sqrt 2) (cos th))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(/ (sqrt 2) (cos th))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(/ (sqrt 2) (cos th))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(/ (sqrt 2) (cos th))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(/ (sqrt 2) (cos th))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(/ (sqrt 2) (cos th))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(/ (sqrt 2) (cos th))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(/ (sqrt 2) (cos th))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(pow a1 2)
(*.f64 a1 a1)
(+ (pow a1 2) (pow a2 2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(+ (pow a1 2) (pow a2 2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(+ (pow a1 2) (pow a2 2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(pow a2 3)
(.f64 a2 (.f64 a2 a2))
(* (pow a2 3) (+ 1 (/ (pow a1 3) (pow a2 3))))
(.f64 (.f64 a2 (.f64 a2 a2)) (fma.f64 (.f64 a1 a1) (/.f64 a1 (.f64 a2 (.f64 a2 a2))) #s(literal 1 binary64)))
(* (pow a2 3) (+ 1 (/ (pow a1 3) (pow a2 3))))
(.f64 (.f64 a2 (.f64 a2 a2)) (fma.f64 (.f64 a1 a1) (/.f64 a1 (.f64 a2 (.f64 a2 a2))) #s(literal 1 binary64)))
(* (pow a2 3) (+ 1 (/ (pow a1 3) (pow a2 3))))
(.f64 (.f64 a2 (.f64 a2 a2)) (fma.f64 (.f64 a1 a1) (/.f64 a1 (.f64 a2 (.f64 a2 a2))) #s(literal 1 binary64)))
(* -1 (pow a2 3))
(neg.f64 (.f64 a2 (.f64 a2 a2)))
(* -1 (* (pow a2 3) (+ 1 (* -1 (/ (pow a1 3) (pow a2 3))))))
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(neg.f64 (.f64 (pow.f64 a2 #s(literal 5 binary64)) (.f64 (+.f64 (/.f64 (pow.f64 a1 #s(literal 5 binary64)) (neg.f64 (pow.f64 a2 #s(literal 5 binary64)))) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(neg.f64 (.f64 (pow.f64 a2 #s(literal 5 binary64)) (.f64 (+.f64 (/.f64 (pow.f64 a1 #s(literal 5 binary64)) (neg.f64 (pow.f64 a2 #s(literal 5 binary64)))) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(* -1 (* (pow a2 5) (+ (* -1 (/ (* (pow a1 5) (cos th)) (* (pow a2 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(neg.f64 (.f64 (pow.f64 a2 #s(literal 5 binary64)) (.f64 (+.f64 (/.f64 (pow.f64 a1 #s(literal 5 binary64)) (neg.f64 (pow.f64 a2 #s(literal 5 binary64)))) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(/ (* (pow a2 4) (cos th)) (sqrt 2))
(/.f64 (.f64 (cos.f64 th) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 a1 a1) (.f64 a1 a1) (.f64 (.f64 a2 a2) (.f64 a2 a2))))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 a1 a1) (.f64 a1 a1) (.f64 (.f64 a2 a2) (.f64 a2 a2))))
(+ (/ (* (pow a1 4) (cos th)) (sqrt 2)) (/ (* (pow a2 4) (cos th)) (sqrt 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 a1 a1) (.f64 a1 a1) (.f64 (.f64 a2 a2) (.f64 a2 a2))))
(/ (* (pow a1 5) (cos th)) (sqrt 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 a1 #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(.f64 (pow.f64 a1 #s(literal 5 binary64)) (.f64 (+.f64 (/.f64 (pow.f64 a2 #s(literal 5 binary64)) (pow.f64 a1 #s(literal 5 binary64))) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(.f64 (pow.f64 a1 #s(literal 5 binary64)) (.f64 (+.f64 (/.f64 (pow.f64 a2 #s(literal 5 binary64)) (pow.f64 a1 #s(literal 5 binary64))) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a1 5) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))))
(.f64 (pow.f64 a1 #s(literal 5 binary64)) (.f64 (+.f64 (/.f64 (pow.f64 a2 #s(literal 5 binary64)) (pow.f64 a1 #s(literal 5 binary64))) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (/ (* (pow a1 5) (cos th)) (sqrt 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (pow.f64 a1 #s(literal 5 binary64))))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(.f64 (pow.f64 a1 #s(literal 5 binary64)) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 a2 #s(literal 5 binary64)) (pow.f64 a1 #s(literal 5 binary64)))) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(.f64 (pow.f64 a1 #s(literal 5 binary64)) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 a2 #s(literal 5 binary64)) (pow.f64 a1 #s(literal 5 binary64)))) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(* -1 (* (pow a1 5) (+ (* -1 (/ (* (pow a2 5) (cos th)) (* (pow a1 5) (sqrt 2)))) (/ (cos th) (sqrt 2)))))
(.f64 (pow.f64 a1 #s(literal 5 binary64)) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 a2 #s(literal 5 binary64)) (pow.f64 a1 #s(literal 5 binary64)))) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow th 2)))
(fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(fma.f64 (.f64 th th) (fma.f64 (.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(fma.f64 th (.f64 th (fma.f64 (.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(/ (pow a1 2) (sqrt 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(/ (pow a2 3) (sqrt 2))
(/.f64 (.f64 a2 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 3) (+ (/ 1 (sqrt 2)) (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))))
(.f64 (.f64 a2 a2) (fma.f64 a2 (/.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 3) (+ (/ 1 (sqrt 2)) (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))))
(.f64 (.f64 a2 a2) (fma.f64 a2 (/.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 3) (+ (/ 1 (sqrt 2)) (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))))
(.f64 (.f64 a2 a2) (fma.f64 a2 (/.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a2 (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (/ (pow a2 3) (sqrt 2)))
(/.f64 (.f64 a2 (.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* (pow a2 3) (+ (* -1 (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))) (/ 1 (sqrt 2)))))
(.f64 (neg.f64 (.f64 a2 a2)) (fma.f64 a2 (/.f64 (.f64 a1 (.f64 a1 (neg.f64 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* (pow a2 3) (+ (* -1 (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))) (/ 1 (sqrt 2)))))
(.f64 (neg.f64 (.f64 a2 a2)) (fma.f64 a2 (/.f64 (.f64 a1 (.f64 a1 (neg.f64 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* (pow a2 3) (+ (* -1 (/ (pow a1 3) (* (pow a2 3) (sqrt 2)))) (/ 1 (sqrt 2)))))
(.f64 (neg.f64 (.f64 a2 a2)) (fma.f64 a2 (/.f64 (.f64 a1 (.f64 a1 (neg.f64 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 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)) (/ (pow a2 2) (sqrt 2)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(/ (pow a1 3) (sqrt 2))
(/.f64 (.f64 a1 (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a1 3) (+ (/ 1 (sqrt 2)) (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))))
(.f64 (.f64 a1 a1) (fma.f64 a1 (/.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a1 (.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a1 3) (+ (/ 1 (sqrt 2)) (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))))
(.f64 (.f64 a1 a1) (fma.f64 a1 (/.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a1 (.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a1 3) (+ (/ 1 (sqrt 2)) (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))))
(.f64 (.f64 a1 a1) (fma.f64 a1 (/.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a1 (.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (/ (pow a1 3) (sqrt 2)))
(/.f64 (.f64 a1 (.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* (pow a1 3) (+ (* -1 (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))) (/ 1 (sqrt 2)))))
(.f64 (.f64 a1 (neg.f64 a1)) (fma.f64 a1 (/.f64 (.f64 a2 (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 (*.f64 a1 (neg.f64 a1))))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* (pow a1 3) (+ (* -1 (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))) (/ 1 (sqrt 2)))))
(.f64 (.f64 a1 (neg.f64 a1)) (fma.f64 a1 (/.f64 (.f64 a2 (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 (*.f64 a1 (neg.f64 a1))))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* (pow a1 3) (+ (* -1 (/ (pow a2 3) (* (pow a1 3) (sqrt 2)))) (/ 1 (sqrt 2)))))
(.f64 (.f64 a1 (neg.f64 a1)) (fma.f64 a1 (/.f64 (.f64 a2 (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 (*.f64 a1 (neg.f64 a1))))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
th
th
th
th
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(* -1 (/ (pow a1 2) (sqrt 2)))
(neg.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (/ (pow a1 2) (sqrt 2)))
(neg.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (/ (pow a1 2) (sqrt 2)))
(neg.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (/ (pow a1 2) (sqrt 2)))
(neg.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(/ (pow a1 2) (sqrt 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/ (pow a1 2) (sqrt 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/ (pow a1 2) (sqrt 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/ (pow a1 2) (sqrt 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/ (pow a1 2) (sqrt 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/ (pow a1 2) (sqrt 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/ (pow a1 2) (sqrt 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/ (pow a1 2) (sqrt 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(* a1 (sqrt 2))
(*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(* a1 (sqrt 2))
(*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(* a1 (sqrt 2))
(*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(* a1 (sqrt 2))
(*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(* a1 (sqrt 2))
(*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(* a1 (sqrt 2))
(*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(* a1 (sqrt 2))
(*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(* a1 (sqrt 2))
(*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* a1 (sqrt 2)))
(neg.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* a1 (sqrt 2)))
(neg.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* a1 (sqrt 2)))
(neg.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* a1 (sqrt 2)))
(neg.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))

eval203.0ms (1.9%)

Memory: 44.4MiB live, 426.7MiB allocated
Compiler: Compiled 43 862 to 3 063 computations (93% saved)

prune263.0ms (2.4%)

Memory

-37.3MiB live, 568.5MiB allocated

Pruning

61 alts after pruning (56 fresh and 5 done)

	Pruned	Kept	Total
New	1 609	18	1 627
Fresh	6	38	44
Picked	4	1	5
Done	0	4	4
Total	1 619	61	1 680

Accuracy

100.0%

Counts

1 680 → 61

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.8%	(fma.f64 (/.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 (neg.f64 a1)) (sqrt.f64 #s(literal 2 binary64))))
	34.3%	(fma.f64 (/.f64 (.f64 a2 a2) a1) (/.f64 (.f64 a1 a1) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 a1 (neg.f64 a1)) (sqrt.f64 #s(literal 2 binary64))))
	26.0%	(fma.f64 (/.f64 a2 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (.f64 a2 (.f64 a1 a1)) (/.f64 (*.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	31.8%	(fma.f64 (.f64 (/.f64 (.f64 a2 a2) (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) a1) a1 (/.f64 (*.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	34.7%	(fma.f64 (.f64 (/.f64 a2 a1) (.f64 a2 (.f64 a1 a1))) (/.f64 #s(literal 1 binary64) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 a1 (neg.f64 a1)) (sqrt.f64 #s(literal 2 binary64))))
	59.6%	(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
	22.4%	(/.f64 (fma.f64 (.f64 a2 (.f64 a2 (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 (neg.f64 a1)))) (.f64 (.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
✓	99.6%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
	59.6%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
	54.9%	(/.f64 (/.f64 (fma.f64 (.f64 th th) (fma.f64 th (.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))))
	99.5%	(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))))
	34.7%	(/.f64 (-.f64 (/.f64 (/.f64 (.f64 a2 (.f64 a2 (.f64 a1 a1))) a1) a1) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
	26.9%	(/.f64 (-.f64 (/.f64 (.f64 a2 (.f64 a2 (.f64 a1 a1))) (.f64 a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
	55.0%	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (fma.f64 (.f64 th th) (fma.f64 th (.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
	99.6%	(/.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
	51.5%	(/.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (+.f64 a2 a1) (.f64 (+.f64 a2 a1) (-.f64 a1 a2)))) (*.f64 (cos.f64 th) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))
	82.2%	(/.f64 (.f64 (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (+.f64 a2 a1)) (/.f64 (cos.f64 th) (+.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64)))
	14.0%	(/.f64 (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (+.f64 a1 a2)) (.f64 (-.f64 a1 a2) #s(literal 1 binary64))) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
	14.0%	(/.f64 (.f64 (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
	26.7%	(/.f64 (.f64 (.f64 (.f64 a2 a2) (.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (cos.f64 th)) (.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
	98.9%	(/.f64 (.f64 a2 a2) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
	59.4%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
	24.5%	(/.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
✓	14.2%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
	98.8%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
	98.8%	(/.f64 (cos.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
	99.5%	(/.f64 (cos.f64 th) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a2 a2 (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
✓	3.6%	(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
	59.6%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (cos.f64 th))))
	59.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (.f64 a2 a2)))))
	55.1%	(-.f64 (.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
	24.6%	(+.f64 (/.f64 (/.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	34.7%	(+.f64 (/.f64 (.f64 (/.f64 a2 a1) (.f64 a2 (.f64 a1 a1))) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	33.3%	(+.f64 (/.f64 (.f64 (.f64 a2 (.f64 a2 a1)) a1) (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	55.0%	(+.f64 (/.f64 a2 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 (.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	99.6%	(.f64 (fma.f64 (cos.f64 th) (.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1)))) #s(literal 1/2 binary64))
	99.5%	(.f64 (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 th))
	51.4%	(.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (.f64 (+.f64 a2 a1) (.f64 (cos.f64 th) (-.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a1 a2))))))
	99.6%	(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
	57.7%	(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 th th) (fma.f64 th (.f64 th (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	59.2%	(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))
✓	99.6%	(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
	99.6%	(.f64 (/.f64 (/.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (-.f64 a1 a2)) (/.f64 #s(literal 1 binary64) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
	98.9%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
	48.0%	(.f64 (+.f64 (/.f64 (.f64 a1 (neg.f64 a1)) (.f64 a2 (.f64 #s(literal 1 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (.f64 #s(literal 1 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))))
	51.5%	(.f64 (+.f64 a2 a1) (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 a2 a1) (-.f64 a1 a2))))))
	12.9%	(.f64 (.f64 (.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 (fma.f64 (.f64 th th) (fma.f64 th (.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
	17.5%	(.f64 (.f64 a2 a2) (fma.f64 a1 (/.f64 a1 (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
	48.0%	(.f64 (.f64 a2 a2) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
	33.8%	(.f64 (.f64 a1 (fma.f64 a2 (/.f64 a2 (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))) a1)
	33.2%	(.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 (/.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a1) a1) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
	33.2%	(.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 (/.f64 a2 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
	27.0%	(.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 (/.f64 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
✓	26.8%	(.f64 (.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 a1))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
	26.4%	(.f64 (.f64 a1 a1) (fma.f64 a2 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) a2) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
	36.5%	(.f64 (.f64 a1 a1) (/.f64 (fma.f64 (/.f64 (.f64 a2 a2) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)) (.f64 a1 #s(literal -1 binary64))) (.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
	24.8%	(.f64 (.f64 a1 a1) (/.f64 (.f64 a2 a2) (.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
	59.4%	(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
	2.7%	(neg.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 3 053 to 1 070 computations (65% saved)

regimes239.0ms (2.2%)

Memory

-1.3MiB live, 386.4MiB allocated

Counts

98 → 1

Calls

Call 1

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

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

Calls

8 calls:

43.0ms	th
36.0ms	(+.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)))
29.0ms	a2
28.0ms	a1
26.0ms	(cos.f64 th)

Results

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

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes205.0ms (1.9%)

Memory

-13.4MiB live, 341.1MiB allocated

Counts

65 → 1

Calls

Call 1

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

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

Calls

8 calls:

42.0ms	a2
41.0ms	a1
24.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
20.0ms	th
20.0ms	(cos.f64 th)

Results

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

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes148.0ms (1.4%)

Memory

-8.4MiB live, 355.4MiB allocated

Counts

64 → 1

Calls

Call 1

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

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

Calls

8 calls:

21.0ms	(cos.f64 th)
19.0ms	a2
18.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
18.0ms	a1
18.0ms	(+.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
99.6%	1	`a1`
99.6%	1	`a2`
99.6%	1	`th`
99.6%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
99.6%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
99.6%	1	`(cos.f64 th)`
99.6%	1	`(*.f64 a1 a1)`
99.6%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes121.0ms (1.1%)

Memory

5.0MiB live, 243.8MiB allocated

Counts

55 → 1

Calls

Call 1

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

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

Calls

8 calls:

16.0ms	a1
15.0ms	th
15.0ms	a2
15.0ms	(cos.f64 th)
15.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
98.9%	1	`a1`
98.9%	1	`a2`
98.9%	1	`th`
98.9%	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)))`
98.9%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
98.9%	1	`(cos.f64 th)`
98.9%	1	`(*.f64 a1 a1)`
98.9%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes157.0ms (1.4%)

Memory

22.9MiB live, 264.1MiB allocated

Counts

52 → 2

Calls

Call 1

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

Outputs

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

Calls

8 calls:

52.0ms	(*.f64 a2 a2)
16.0ms	(+.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)))
15.0ms	th
15.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
15.0ms	a1

Results

Accuracy	Segments	Branch
61.2%	2	`a1`
63.1%	2	`a2`
64.7%	2	`th`
76.2%	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)))`
76.2%	2	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
76.2%	2	`(cos.f64 th)`
61.2%	2	`(*.f64 a1 a1)`
62.5%	2	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes25.0ms (0.2%)

Memory

-22.2MiB live, 58.5MiB allocated

Counts

24 → 2

Calls

Call 1

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

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

Calls

3 calls:

9.0ms

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

8.0ms

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

7.0ms

(cos.f64 th)

Results

Accuracy	Segments	Branch
76.2%	2	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
76.2%	2	`(cos.f64 th)`
76.2%	2	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes9.0ms (0.1%)

Memory

20.1MiB live, 20.1MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

3.0ms

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

3.0ms

(cos.f64 th)

3.0ms

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

Results

Accuracy	Segments	Branch
75.9%	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)))`
75.9%	2	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
75.9%	2	`(cos.f64 th)`

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes33.0ms (0.3%)

Memory

-2.4MiB live, 36.6MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

8 calls:

14.0ms	(cos.f64 th)
3.0ms	a2
3.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
3.0ms	a1
3.0ms	th

Results

Accuracy	Segments	Branch
59.4%	1	`a1`
59.4%	1	`(*.f64 a1 a1)`
59.4%	1	`(*.f64 a2 a2)`
59.4%	1	`a2`
59.4%	1	`th`
59.4%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
59.4%	1	`(cos.f64 th)`
59.4%	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)

regimes37.0ms (0.3%)

Memory

-2.6MiB live, 37.1MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

8 calls:

20.0ms	a1
2.0ms	th
2.0ms	(cos.f64 th)
2.0ms	a2
2.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
59.4%	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)))`
59.4%	1	`th`
59.4%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
59.4%	1	`(cos.f64 th)`
59.4%	1	`a1`
59.4%	1	`(*.f64 a1 a1)`
59.4%	1	`a2`
59.4%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes27.0ms (0.2%)

Memory

-1.5MiB live, 37.5MiB allocated

Accuracy

Total -1.1b remaining (-1.7%)

Threshold costs -1.1b (-1.7%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

8 calls:

15.0ms	th
2.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
2.0ms	a1
2.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
1.0ms	a2

Results

Accuracy	Segments	Branch
3.6%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))`
3.6%	1	`(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))`
3.6%	1	`(cos.f64 th)`
3.6%	1	`a1`
3.6%	1	`th`
3.6%	1	`(*.f64 a1 a1)`
3.6%	1	`a2`
3.6%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 40 computations (32.2% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0245206117934693e-306	0.0

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0245206117934693e-306	0.0

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0245206117934693e-306	0.0

Compiler

Compiled 25 to 18 computations (28% saved)

simplify12.0ms (0.1%)

Memory

-18.9MiB live, 20.8MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
10×	`+-commutative_binary64`
8×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	183
1	51	183
2	57	183
3	65	183
4	70	183
5	73	183
6	74	183

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(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 -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) (.f64 (.f64 a2 a2) (fma.f64 a1 (/.f64 a1 (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.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))))
(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 -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) (/.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(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 -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) (/.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))

Outputs
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.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 -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) (.f64 (.f64 a2 a2) (fma.f64 a1 (/.f64 a1 (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.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))))
(if (<=.f64 (+.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) (.f64 (.f64 a2 a2) (fma.f64 a1 (/.f64 a1 (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (/.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))))
(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 -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) (/.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) (neg.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (fma.f64 a1 a1 (.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 -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) (/.f64 (.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) (neg.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))

soundness1000.0ms (9.2%)

Memory

37.8MiB live, 1 033.6MiB allocated

Rules

22 992×	`lower-fma.f64`
22 992×	`lower-fma.f32`
7 416×	`lower-fma.f64`
7 416×	`lower-fma.f32`
7 064×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	526	6005
1	1663	5565
2	5748	5309
0	8365	5223
0	99	1194
1	291	1062
2	960	990
3	2838	919
4	6076	893
5	7950	893
0	8011	875
0	509	5882
1	1654	5308
2	6062	5138
0	8382	5054
0	27	179
0	50	155
1	179	140
2	1452	140
0	8435	140
0	12	38
0	20	32
1	58	32
2	411	32
3	7331	32
0	8434	31

Stop Event

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

Compiler

Compiled 541 to 270 computations (50.1% saved)

preprocess122.0ms (1.1%)

Memory

-12.6MiB live, 218.1MiB allocated

Remove

(abs a2)

(abs th)

Compiler

Compiled 956 to 458 computations (52.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.6s (15.2%)

preprocess137.0ms (1.3%)

explain219.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify15.0ms (0.1%)

localize41.0ms (0.4%)

series52.0ms (0.5%)

rewrite384.0ms (3.5%)

simplify509.0ms (4.7%)

eval67.0ms (0.6%)

prune76.0ms (0.7%)

simplify180.0ms (1.7%)

localize109.0ms (1%)

series85.0ms (0.8%)

rewrite286.0ms (2.6%)

simplify291.0ms (2.7%)

eval241.0ms (2.2%)

prune233.0ms (2.1%)

simplify183.0ms (1.7%)

localize107.0ms (1%)

series143.0ms (1.3%)

rewrite838.0ms (7.7%)

simplify574.0ms (5.3%)

eval336.0ms (3.1%)

prune340.0ms (3.1%)

simplify267.0ms (2.5%)

localize121.0ms (1.1%)

series67.0ms (0.6%)

rewrite303.0ms (2.8%)

simplify384.0ms (3.5%)

eval203.0ms (1.9%)

prune263.0ms (2.4%)

regimes239.0ms (2.2%)

regimes205.0ms (1.9%)

regimes148.0ms (1.4%)

regimes121.0ms (1.1%)

regimes157.0ms (1.4%)

regimes25.0ms (0.2%)

regimes9.0ms (0.1%)

regimes33.0ms (0.3%)

regimes37.0ms (0.3%)

regimes27.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

soundness1000.0ms (9.2%)

preprocess122.0ms (1.1%)

end0.0ms (0%)

Profiling