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)

sample1.4s (10.1%)

Memory

-7.0MiB live, 2 177.4MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 648.0ms

ival-cos: 267.0ms (41.2% of total)

ival-mult: 189.0ms (29.1% of total)

ival-div: 79.0ms (12.2% of total)

ival-sqrt: 63.0ms (9.7% of total)

ival-add: 37.0ms (5.7% of total)

ival-true: 6.0ms (0.9% of total)

exact: 6.0ms (0.9% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess170.0ms (1.2%)

Memory

2.8MiB live, 85.6MiB allocated

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(abs a1)

(abs a2)

(abs th)

(sort a1 a2)

explain151.0ms (1.1%)

Memory

-1.6MiB live, 275.6MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

57.0ms

512×

valid

Compiler

Compiled 160 to 52 computations (67.5% saved)

Precisions

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

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

ival-mult: 11.0ms (31.2% of total)

ival-sqrt: 5.0ms (14.2% of total)

ival-div: 3.0ms (8.5% of total)

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

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.8MiB live, 0.8MiB allocated
Compiler: Compiled 16 to 11 computations (31.3% saved)

prune1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

99.5%

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

▶

99.5%

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

Compiler

Compiled 38 to 23 computations (39.5% saved)

simplify7.0ms (0%)

Memory

12.7MiB live, 12.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))
✓	cost-diff	13056	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
✓	cost-diff	0	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	94
1	31	94
2	58	94
3	82	94
4	93	94
0	93	90

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize102.0ms (0.7%)

Memory

6.6MiB live, 88.1MiB allocated

Localize:

Found 8 expressions of interest:

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

Samples

82.0ms

256×

valid

Compiler

Compiled 102 to 17 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 51.0ms (78.3% of total)

ival-cos: 6.0ms (9.2% of total)

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

ival-add: 2.0ms (3.1% of total)

ival-sqrt: 2.0ms (3.1% of total)

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

exact: 0.0ms (0% of total)

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

series56.0ms (0.4%)

Memory

-6.6MiB live, 31.2MiB allocated

Counts

8 → 192

Calls

Call 1

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

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

Calls

48 calls:

Time	Variable		Point	Expression
37.0ms	a1	@	0	(* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))
2.0ms	th	@	0	(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
1.0ms	th	@	inf	(* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))
1.0ms	th	@	inf	(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
1.0ms	th	@	-inf	(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))

rewrite419.0ms (2.9%)

Memory

-18.0MiB live, 861.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 042×	`accelerator-lowering-fma.f32`
8 042×	`accelerator-lowering-fma.f64`
5 876×	`-lowering-.f32`
5 876×	`-lowering-.f64`
3 442×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	68
1	73	68
2	634	68
0	8041	64

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 802

Calls

Call 1

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

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

simplify483.0ms (3.4%)

Memory

20.7MiB live, 990.7MiB allocated

Algorithm

1×	egg-herbie

Rules

19 002×	`accelerator-lowering-fma.f32`
19 002×	`accelerator-lowering-fma.f64`
4 306×	`-lowering-.f32`
4 306×	`-lowering-.f64`
3 676×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	143	2176
1	462	2176
2	1594	2074
3	3984	2026
4	7826	2026
0	8362	1890

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

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

eval121.0ms (0.8%)

Memory: -11.3MiB live, 298.3MiB allocated
Compiler: Compiled 33 391 to 1 728 computations (94.8% saved)

prune94.0ms (0.7%)

Memory

22.4MiB live, 264.6MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	1 059	8	1 067
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	1 061	8	1 069

Accuracy

100.0%

Counts

1 069 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
	99.6%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
▶	63.4%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
	98.6%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
▶	99.6%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	62.7%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
▶	98.5%	(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
▶	99.7%	(.f64 (cos.f64 th) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))

Compiler

Compiled 256 to 178 computations (30.5% saved)

simplify17.0ms (0.1%)

Memory

-2.0MiB live, 37.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	cost-diff	0	(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
✓	cost-diff	6656	(/.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
✓	cost-diff	0	(*.f64 a2 a2)
✓	cost-diff	0	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(*.f64 a2 a2)
✓	cost-diff	0	(*.f64 a1 a1)
✓	cost-diff	0	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(.f64 (cos.f64 th) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))

Rules

322×	`-lowering-.f32`
322×	`-lowering-.f64`
176×	`accelerator-lowering-fma.f32`
176×	`accelerator-lowering-fma.f64`
102×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	205
1	51	205
2	127	205
3	187	205
4	248	205
5	318	205
6	352	205
7	356	205
8	357	205
0	357	193

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize102.0ms (0.7%)

Memory

-11.6MiB live, 265.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.8%	(.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	accuracy	99.8%	(/.f64 (/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
✓	accuracy	99.7%	(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.8%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
✓	accuracy	98.6%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.9%	(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	99.6%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 a1 a1)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.6%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.9%	(.f64 (cos.f64 th) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
✓	accuracy	99.7%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Samples

58.0ms

256×

valid

Compiler

Compiled 212 to 25 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 10.0ms (27.4% of total)

ival-div: 9.0ms (24.7% of total)

ival-cos: 7.0ms (19.2% of total)

ival-pow: 7.0ms (19.2% of total)

ival-sqrt: 2.0ms (5.5% of total)

ival-add: 1.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series82.0ms (0.6%)

Memory

6.9MiB live, 201.9MiB allocated

Counts

16 → 348

Calls

Call 1

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

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

Calls

87 calls:

Time	Variable		Point	Expression
36.0ms	th	@	inf	(/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (pow 2 1/4)) (pow 2 1/4))
12.0ms	th	@	inf	(/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (pow 2 1/4))
5.0ms	a1	@	0	(/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (pow 2 1/4))
3.0ms	a2	@	0	(/ (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (pow 2 1/4)) (pow 2 1/4))
3.0ms	a1	@	inf	(* (pow 2 -1/2) (+ (* a1 a1) (* a2 a2)))

rewrite499.0ms (3.5%)

Memory

13.4MiB live, 1 288.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 364×	`-lowering-.f32`
5 364×	`-lowering-.f64`
3 988×	`/-lowering-/.f32`
3 988×	`/-lowering-/.f64`
3 386×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	133
1	115	128
2	791	128
0	8054	119

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 2 651

Calls

Call 1

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

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

simplify456.0ms (3.2%)

Memory

9.1MiB live, 954.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 504×	`accelerator-lowering-fma.f32`
13 504×	`accelerator-lowering-fma.f64`
7 314×	`-lowering-.f32`
7 314×	`-lowering-.f64`
5 256×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	287	5063
1	916	4903
2	3487	4723
0	8554	4457

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

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

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

eval746.0ms (5.2%)

Memory: -79.5MiB live, 874.0MiB allocated
Compiler: Compiled 99 871 to 4 578 computations (95.4% saved)

prune419.0ms (2.9%)

Memory

15.7MiB live, 736.1MiB allocated

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	3 646	21	3 667
Fresh	2	1	3
Picked	3	2	5
Done	0	0	0
Total	3 651	24	3 675

Accuracy

100.0%

Counts

3 675 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.3%	(/.f64 (/.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 a1 a2)) (-.f64 a1 a2))
	5.5%	(/.f64 (/.f64 (.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
	14.8%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
	63.3%	(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	8.6%	(/.f64 (+.f64 (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
▶	63.3%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
✓	63.4%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
	62.7%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	26.6%	(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
	98.6%	(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
	98.6%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
	62.9%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
▶	14.0%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
✓	99.6%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	15.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))))
	63.3%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	63.3%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	15.2%	(.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
▶	14.0%	(.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))))
	62.3%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
	63.4%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	98.6%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))
▶	99.7%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	98.7%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a2 a2)))

Compiler

Compiled 1 053 to 580 computations (44.9% saved)

simplify355.0ms (2.5%)

Memory

-18.0MiB live, 496.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 a1 (.f64 a1 a1))
✓	cost-diff	0	(.f64 a1 (.f64 a1 (*.f64 a1 a1)))
✓	cost-diff	0	(+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))
✓	cost-diff	2560	(.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))))
✓	cost-diff	0	(.f64 a1 (.f64 a1 a1))
✓	cost-diff	0	(.f64 a1 (.f64 a1 (*.f64 a1 a1)))
✓	cost-diff	0	(-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))
✓	cost-diff	1152	(.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(*.f64 a2 a2)
✓	cost-diff	0	(*.f64 a1 a1)
✓	cost-diff	0	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	cost-diff	128	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 a1 a1)
✓	cost-diff	0	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))

Rules

11 714×	`accelerator-lowering-fma.f32`
11 714×	`accelerator-lowering-fma.f64`
4 502×	`-lowering-.f32`
4 502×	`-lowering-.f64`
3 566×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	320
1	101	294
2	281	290
3	900	274
4	4389	274
0	8343	262

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize150.0ms (1.1%)

Memory

21.0MiB live, 219.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
✓	accuracy	94.4%	(-.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	accuracy	38.1%	(.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))))
✓	accuracy	29.3%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
✓	accuracy	98.7%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	accuracy	93.0%	(-.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	85.1%	(-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))
✓	accuracy	38.1%	(.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	100.0%	(*.f64 a1 a1)
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.6%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 a1 a1)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.7%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.9%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
✓	accuracy	99.7%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Samples

77.0ms

256×

valid

Compiler

Compiled 374 to 36 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 18.0ms (37.7% of total)

ival-div: 9.0ms (18.8% of total)

ival-cos: 7.0ms (14.7% of total)

ival-sqrt: 4.0ms (8.4% of total)

ival-pow: 4.0ms (8.4% of total)

ival-sub: 3.0ms (6.3% of total)

ival-add: 2.0ms (4.2% of total)

exact: 1.0ms (2.1% of total)

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

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

series23.0ms (0.2%)

Memory

-3.1MiB live, 35.3MiB allocated

Counts

22 → 396

Calls

Call 1

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

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

Calls

99 calls:

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

rewrite612.0ms (4.3%)

Memory

11.8MiB live, 1 022.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 564×	`accelerator-lowering-fma.f32`
9 564×	`accelerator-lowering-fma.f64`
3 974×	`/-lowering-/.f32`
3 974×	`/-lowering-/.f64`
3 936×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	178
1	202	162
2	1729	162
0	8321	155

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1 601

Calls

Call 1

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

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

simplify580.0ms (4.1%)

Memory

12.4MiB live, 737.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 770×	`accelerator-lowering-fma.f32`
11 770×	`accelerator-lowering-fma.f64`
4 772×	`-lowering-.f32`
4 772×	`-lowering-.f64`
4 270×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	289	5257
1	868	5037
2	2964	4803
0	8338	4605

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

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

eval567.0ms (4%)

Memory: 27.3MiB live, 849.6MiB allocated
Compiler: Compiled 191 495 to 5 949 computations (96.9% saved)

prune413.0ms (2.9%)

Memory

11.2MiB live, 809.5MiB allocated

Pruning

35 alts after pruning (31 fresh and 4 done)

	Pruned	Kept	Total
New	3 220	15	3 235
Fresh	1	16	17
Picked	3	2	5
Done	0	2	2
Total	3 224	35	3 259

Accuracy

100.0%

Counts

3 259 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.3%	(/.f64 (/.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 a1 a2)) (-.f64 a1 a2))
	14.8%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
▶	14.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
	63.3%	(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	8.6%	(/.f64 (+.f64 (.f64 (.f64 a1 (.f64 a1 a1)) (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
✓	63.4%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
	62.7%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
▶	26.6%	(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
	98.6%	(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
	98.6%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
	62.9%	(/.f64 (*.f64 a2 a2) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
	62.9%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
✓	14.0%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
✓	99.6%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	14.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
	15.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))))
	63.3%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	14.0%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
	10.1%	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))))
	14.0%	(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
	63.3%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	16.8%	(.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
	11.0%	(.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
▶	15.3%	(.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
	13.8%	(.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (.f64 a2 (.f64 a2 a2))))))
	27.7%	(.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 #s(literal 1 binary64) (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
	62.3%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
	15.3%	(.f64 (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
	1.1%	(.f64 (.f64 (.f64 a1 a1) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))
	2.0%	(.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
	63.4%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	98.6%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))
▶	63.0%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 a2))
✓	99.7%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
▶	98.7%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a2 a2)))

Compiler

Compiled 1 458 to 844 computations (42.1% saved)

simplify330.0ms (2.3%)

Memory

-37.4MiB live, 626.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	cost-diff	0	(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	128	(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))
✓	cost-diff	1024	(.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))
✓	cost-diff	0	(.f64 a2 (.f64 a2 a2))
✓	cost-diff	0	(.f64 a2 (.f64 a2 (*.f64 a2 a2)))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (.f64 a2 (.f64 a2 (*.f64 a2 a2))))
✓	cost-diff	256	(.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(*.f64 a1 a1)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 a1 a1))
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1)))
✓	cost-diff	0	(*.f64 a2 a2)
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 a2))
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 a2))
✓	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a2 a2)))

Rules

9 622×	`accelerator-lowering-fma.f32`
9 622×	`accelerator-lowering-fma.f64`
3 634×	`-lowering-.f32`
3 634×	`-lowering-.f64`
3 262×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	193
1	76	181
2	191	179
3	715	179
4	4754	178
0	8240	175

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (cos th) (* (sqrt 1/2) (* a2 a2)))
(cos th)
th
(* (sqrt 1/2) (* a2 a2))
(sqrt 1/2)
1/2
(* a2 a2)
a2
(* (sqrt 1/2) (* a2 a2))
(sqrt 1/2)
1/2
(* a2 a2)
a2
(/ (/ 1 (/ 1 (* a1 a1))) (sqrt 2))
(/ 1 (/ 1 (* a1 a1)))
1
(/ 1 (* a1 a1))
(* a1 a1)
a1
(sqrt 2)
2
(* (- 0 (* a2 (* a2 (* a2 a2)))) (/ (/ 1 (- (* a1 a1) (* a2 a2))) (sqrt 2)))
(- 0 (* a2 (* a2 (* a2 a2))))
0
(* a2 (* a2 (* a2 a2)))
a2
(* a2 (* a2 a2))
(* a2 a2)
(/ (/ 1 (- (* a1 a1) (* a2 a2))) (sqrt 2))
(/ 1 (- (* a1 a1) (* a2 a2)))
1
(- (* a1 a1) (* a2 a2))
(* a1 a1)
a1
(sqrt 2)
2
(/ (* (+ (* a1 a1) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (/ 1 (- (* a1 a1) (* a2 a2))))) (sqrt 2))
(* (+ (* a1 a1) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (/ 1 (- (* a1 a1) (* a2 a2)))))
(+ (* a1 a1) (* a2 a2))
(* a1 a1)
a1
(* a2 a2)
a2
(* (- (* a1 a1) (* a2 a2)) (/ 1 (- (* a1 a1) (* a2 a2))))
(- (* a1 a1) (* a2 a2))
(/ 1 (- (* a1 a1) (* a2 a2)))
1
(sqrt 2)
2

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

localize107.0ms (0.8%)

Memory

17.7MiB live, 215.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	98.7%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	accuracy	93.0%	(-.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	51.7%	(.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))
✓	accuracy	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	98.7%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	accuracy	93.0%	(-.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	38.1%	(.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 a1 a1))
✓	accuracy	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1)))
✓	accuracy	100.0%	(*.f64 a2 a2)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	99.7%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 a2))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.9%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a2 a2)))
✓	accuracy	99.7%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 a2))

Samples

57.0ms

256×

valid

Compiler

Compiled 259 to 30 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 14.0ms (36.6% of total)

ival-div: 10.0ms (26.2% of total)

ival-cos: 6.0ms (15.7% of total)

ival-sqrt: 4.0ms (10.5% of total)

ival-sub: 2.0ms (5.2% of total)

ival-add: 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)

series32.0ms (0.2%)

Memory

-10.4MiB live, 28.1MiB allocated

Counts

21 → 336

Calls

Call 1

Inputs
#<alt (* (cos th) (* (sqrt 1/2) (* a2 a2)))>
#<alt (cos th)>
#<alt (* (sqrt 1/2) (* a2 a2))>
#<alt (sqrt 1/2)>
#<alt (* a2 a2)>
#<alt (/ 1 (/ 1 (* a1 a1)))>
#<alt (/ (/ 1 (/ 1 (* a1 a1))) (sqrt 2))>
#<alt (/ 1 (* a1 a1))>
#<alt (* a1 a1)>
#<alt (* (- 0 (* a2 (* a2 (* a2 a2)))) (/ (/ 1 (- (* a1 a1) (* a2 a2))) (sqrt 2)))>
#<alt (- 0 (* a2 (* a2 (* a2 a2))))>
#<alt (* a2 (* a2 (* a2 a2)))>
#<alt (* a2 (* a2 a2))>
#<alt (* (- (* a1 a1) (* a2 a2)) (/ 1 (- (* a1 a1) (* a2 a2))))>
#<alt (* (+ (* a1 a1) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (/ 1 (- (* a1 a1) (* a2 a2)))))>
#<alt (/ (* (+ (* a1 a1) (* a2 a2)) (* (- (* a1 a1) (* a2 a2)) (/ 1 (- (* a1 a1) (* a2 a2))))) (sqrt 2))>
#<alt (+ (* a1 a1) (* a2 a2))>
#<alt (sqrt 2)>
#<alt (- (* a1 a1) (* a2 a2))>
#<alt (/ 1 (- (* a1 a1) (* a2 a2)))>
#<alt (/ (/ 1 (- (* a1 a1) (* a2 a2))) (sqrt 2))>

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

Calls

84 calls:

Time	Variable		Point	Expression
19.0ms	th	@	-inf	(* (cos th) (* (sqrt 1/2) (* a2 a2)))
1.0ms	a1	@	inf	(* (- 0 (* a2 (* a2 (* a2 a2)))) (/ (/ 1 (- (* a1 a1) (* a2 a2))) (sqrt 2)))
1.0ms	th	@	inf	(* (cos th) (* (sqrt 1/2) (* a2 a2)))
1.0ms	a2	@	0	(* (- 0 (* a2 (* a2 (* a2 a2)))) (/ (/ 1 (- (* a1 a1) (* a2 a2))) (sqrt 2)))
1.0ms	a2	@	inf	(* (- 0 (* a2 (* a2 (* a2 a2)))) (/ (/ 1 (- (* a1 a1) (* a2 a2))) (sqrt 2)))

rewrite567.0ms (4%)

Memory

-21.3MiB live, 900.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 820×	`accelerator-lowering-fma.f32`
9 820×	`accelerator-lowering-fma.f64`
5 178×	`-lowering-.f32`
5 178×	`-lowering-.f64`
3 274×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	133
1	150	116
2	1075	115
0	8648	112

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 1 377

Calls

Call 1

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

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

simplify475.0ms (3.3%)

Memory

35.4MiB live, 817.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 014×	`accelerator-lowering-fma.f32`
11 014×	`accelerator-lowering-fma.f64`
4 798×	`-lowering-.f32`
4 798×	`-lowering-.f64`
3 246×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	259	3479
1	725	3449
2	2477	3354
0	8423	3229

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

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

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

eval452.0ms (3.2%)

Memory: 55.7MiB live, 817.9MiB allocated
Compiler: Compiled 92 217 to 5 931 computations (93.6% saved)

prune427.0ms (3%)

Memory

-14.4MiB live, 996.6MiB allocated

Pruning

45 alts after pruning (39 fresh and 6 done)

	Pruned	Kept	Total
New	2 557	26	2 583
Fresh	13	13	26
Picked	3	2	5
Done	0	4	4
Total	2 573	45	2 618

Accuracy

100.0%

Counts

2 618 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.0%	(/.f64 (/.f64 a1 (/.f64 #s(literal 1 binary64) a1)) (sqrt.f64 #s(literal 2 binary64)))
	14.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a1) a1)) (sqrt.f64 #s(literal 2 binary64)))
	63.3%	(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	14.0%	(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 a1 a1)))
✓	63.4%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
	62.7%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	28.5%	(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a2 a1)) (-.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64)))
	26.1%	(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 #s(literal -1 binary64) (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
	28.4%	(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a1 a2)) (/.f64 #s(literal 1 binary64) (+.f64 a2 a1))))) (sqrt.f64 #s(literal 2 binary64)))
	13.5%	(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))) (sqrt.f64 #s(literal 2 binary64)))
	1.6%	(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
	26.6%	(/.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64)))
	13.3%	(/.f64 (.f64 (.f64 a2 a2) (.f64 a2 a2)) (-.f64 #s(literal 0 binary64) (.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
	98.6%	(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
	98.6%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
	62.9%	(/.f64 (*.f64 a2 a2) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
	62.9%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
✓	14.0%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
✓	99.6%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	14.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))))
	14.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 a1 a1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
	15.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 a2 (.f64 a2 (.f64 a2 (-.f64 #s(literal 0 binary64) a2))))))
	63.3%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	14.0%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
	10.5%	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)))
	18.9%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) a2) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 a2 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	63.1%	(.f64 (/.f64 (.f64 a2 (-.f64 #s(literal 0 binary64) a2)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a2 a1))) (/.f64 (.f64 a2 a2) (-.f64 a1 a2)))
	52.0%	(.f64 (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 (-.f64 #s(literal 0 binary64) a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a2 a1))) (/.f64 #s(literal 1 binary64) (-.f64 a1 a2)))
	14.0%	(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
	63.3%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	8.3%	(.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 a2 (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (/.f64 (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 a2 (.f64 a2 a2))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
	8.9%	(.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 a2 (.f64 a2 a2))) (/.f64 (.f64 a2 a2) a2))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
	11.6%	(.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (.f64 a2 a2)) (/.f64 (.f64 a2 (.f64 a2 a2)) (.f64 a2 a2)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
	14.3%	(.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a2 (.f64 a2 a2))) (/.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) a2))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
	15.3%	(.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 a2 a2) (.f64 a2 a2))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
	15.1%	(.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	27.7%	(.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (/.f64 #s(literal 1 binary64) (.f64 a1 (.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
	62.3%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
	62.3%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64)))))
	62.9%	(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)
	63.4%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	98.6%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))
✓	63.0%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 a2))
✓	99.7%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
✓	98.7%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a2 a2)))

Compiler

Compiled 2 523 to 803 computations (68.2% saved)

regimes175.0ms (1.2%)

Memory

16.8MiB live, 398.5MiB allocated

Counts

72 → 1

Calls

Call 1

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

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

Calls

8 calls:

25.0ms	a1
23.0ms	th
20.0ms	a2
20.0ms	(*.f64 a2 a2)
20.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))

Results

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

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes131.0ms (0.9%)

Memory

-7.9MiB live, 198.5MiB allocated

Counts

65 → 1

Calls

Call 1

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

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

Calls

6 calls:

23.0ms	a1
23.0ms	(*.f64 a2 a2)
22.0ms	a2
19.0ms	(cos.f64 th)
17.0ms	th

Results

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes235.0ms (1.6%)

Memory

5.5MiB live, 161.3MiB allocated

Counts

60 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

121.0ms	(*.f64 a1 a1)
38.0ms	a2
37.0ms	(*.f64 a2 a2)
19.0ms	a1
16.0ms	th

Results

Accuracy	Segments	Branch
65.1%	2	`a1`
67.7%	2	`a2`
66.0%	2	`th`
63.4%	1	`(*.f64 a1 a1)`
65.8%	2	`(*.f64 a2 a2)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes29.0ms (0.2%)

Memory

-6.9MiB live, 67.5MiB allocated

Counts

21 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	a2
7.0ms	a1
6.0ms	th
6.0ms	(*.f64 a2 a2)

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes16.0ms (0.1%)

Memory

2.6MiB live, 41.6MiB allocated

Accuracy

Total -31.5b remaining (-132.8%)

Threshold costs -31.5b (-132.8%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch8.0ms (0.1%)

Memory

18.2MiB live, 18.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	4.4769778811000254e+201	6.378406306870442e+201

Samples

5.0ms

48×

valid

Compiler

Compiled 121 to 90 computations (25.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-cos: 1.0ms (30.2% of total)

ival-mult: 1.0ms (30.2% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

simplify12.0ms (0.1%)

Memory

-21.0MiB live, 19.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	66
1	37	66

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a2 a2)))
(if (<=.f64 a2 #s(literal 4500000000000000101748870738208287680570781275053551362828595534475909772950907312819630045873586081206039073541544688030615717885004986684039870115538637759661012085436682852339590933033682924684181504 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 a2))

Outputs
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a2 a2)))
(if (<=.f64 a2 #s(literal 4500000000000000101748870738208287680570781275053551362828595534475909772950907312819630045873586081206039073541544688030615717885004986684039870115538637759661012085436682852339590933033682924684181504 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))))
(if (<=.f64 a2 #s(literal 4500000000000000101748870738208287680570781275053551362828595534475909772950907312819630045873586081206039073541544688030615717885004986684039870115538637759661012085436682852339590933033682924684181504 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th))) (.f64 a2 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 a2 a2))

soundness3.2s (22.1%)

Memory

-20.0MiB live, 4 526.7MiB allocated

Rules

19 002×	`accelerator-lowering-fma.f32`
19 002×	`accelerator-lowering-fma.f64`
13 504×	`accelerator-lowering-fma.f32`
13 504×	`accelerator-lowering-fma.f64`
11 770×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	289	5257
1	868	5037
2	2964	4803
0	8338	4605
0	287	5063
1	916	4903
2	3487	4723
0	8554	4457
0	15	68
1	73	68
2	634	68
0	8041	64
0	259	3479
1	725	3449
2	2477	3354
0	8423	3229
0	12	13
1	25	13
2	50	13
3	80	13
4	92	13
0	92	12
0	143	2176
1	462	2176
2	1594	2074
3	3984	2026
4	7826	2026
0	8362	1890
0	23	133
1	115	128
2	791	128
0	8054	119

Stop Event

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

Compiler

Compiled 371 to 238 computations (35.8% saved)

preprocess54.0ms (0.4%)

Memory

-9.2MiB live, 118.2MiB allocated

Remove

(sort a1 a2)

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 310 to 160 computations (48.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	23	205
1	51	205
2	127	205
3	187	205
4	248	205
5	318	205
6	352	205
7	356	205
8	357	205
0	357	193

Iter	Nodes	Cost
0	23	205
1	51	205
2	127	205
3	187	205
4	248	205
5	318	205
6	352	205
7	356	205
8	357	205
0	357	193

analyze0.0ms (0%)

sample1.4s (10.1%)

preprocess170.0ms (1.2%)

explain151.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0%)

localize102.0ms (0.7%)

series56.0ms (0.4%)

rewrite419.0ms (2.9%)

simplify483.0ms (3.4%)

eval121.0ms (0.8%)

prune94.0ms (0.7%)

simplify17.0ms (0.1%)

localize102.0ms (0.7%)

series82.0ms (0.6%)

rewrite499.0ms (3.5%)

simplify456.0ms (3.2%)

eval746.0ms (5.2%)

prune419.0ms (2.9%)

simplify355.0ms (2.5%)

localize150.0ms (1.1%)

series23.0ms (0.2%)

rewrite612.0ms (4.3%)

simplify580.0ms (4.1%)

eval567.0ms (4%)

prune413.0ms (2.9%)

simplify330.0ms (2.3%)

localize107.0ms (0.8%)

series32.0ms (0.2%)

rewrite567.0ms (4%)

simplify475.0ms (3.3%)

eval452.0ms (3.2%)

prune427.0ms (3%)

regimes175.0ms (1.2%)

regimes131.0ms (0.9%)

regimes235.0ms (1.6%)

regimes29.0ms (0.2%)

regimes16.0ms (0.1%)

bsearch8.0ms (0.1%)

simplify12.0ms (0.1%)

soundness3.2s (22.1%)

preprocess54.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	23	205
1	51	205
2	127	205
3	187	205
4	248	205
5	318	205
6	352	205
7	356	205
8	357	205
0	357	193