Metrics for Migdal et al, Equation (64)

analyze0.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

sample1.2s (7.6%)

Memory

-6.6MiB live, 2 271.7MiB allocated

Samples

911.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 586.0ms

ival-cos: 215.0ms (36.7% of total)

ival-mult: 199.0ms (34% of total)

ival-div: 63.0ms (10.8% of total)

ival-sqrt: 60.0ms (10.2% of total)

ival-add: 36.0ms (6.1% of total)

ival-true: 6.0ms (1% of total)

...in/eval/compile.rkt:110:19: 4.0ms (0.7% of total)

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

Bogosity

preprocess173.0ms (1.1%)

Memory

1.1MiB live, 83.7MiB 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)

explain144.0ms (0.9%)

Memory

-29.8MiB live, 306.2MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

56.0ms

512×

valid

Compiler

Compiled 160 to 52 computations (67.5% saved)

Precisions

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

ival-mult: 13.0ms (36.2% of total)

ival-cos: 11.0ms (30.6% of total)

ival-div: 6.0ms (16.7% of total)

ival-sqrt: 4.0ms (11.1% of total)

ival-add: 2.0ms (5.6% of total)

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

...in/eval/compile.rkt:110:19: 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)))
▶	99.6%	(.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)))

▶

99.6%

(*.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)

simplify8.0ms (0%)

Memory

11.3MiB live, 11.3MiB 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

localize60.0ms (0.4%)

Memory

3.9MiB live, 121.4MiB 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 a1 a1))
✓	accuracy	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))
✓	accuracy	98.8%	(/.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

35.0ms

256×

valid

Compiler

Compiled 102 to 17 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 8.0ms (35.8% of total)

ival-cos: 6.0ms (26.8% of total)

ival-div: 3.0ms (13.4% of total)

ival-sqrt: 3.0ms (13.4% of total)

ival-add: 2.0ms (8.9% of total)

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

series22.0ms (0.1%)

Memory

2.6MiB live, 44.6MiB 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
2.0ms	a1	@	0	(/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))
2.0ms	th	@	0	(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
2.0ms	a1	@	0	(* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))
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)))

rewrite417.0ms (2.7%)

Memory

-19.2MiB live, 1 013.7MiB 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))))

simplify569.0ms (3.6%)

Memory

38.9MiB live, 1 110.0MiB 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)))

eval202.0ms (1.3%)

Memory: -12.7MiB live, 343.5MiB allocated
Compiler: Compiled 33 391 to 1 728 computations (94.8% saved)

prune107.0ms (0.7%)

Memory

8.5MiB live, 248.4MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	1 054	13	1 067
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	1 055	14	1 069

Accuracy

100.0%

Counts

1 069 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
▶	67.6%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
	27.9%	(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1))))) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	99.6%	(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
	27.9%	(/.f64 (.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
	99.0%	(/.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))))
▶	99.6%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	64.3%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 th th) #s(literal 1/24 binary64))))) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
▶	62.1%	(.f64 (+.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))))))))) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	62.8%	(.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))))
✓	99.6%	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	98.9%	(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
	99.6%	(.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 546 to 361 computations (33.9% saved)

simplify798.0ms (5.1%)

Memory

-134.4MiB live, 666.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

14 524×	`accelerator-lowering-fma.f32`
14 524×	`accelerator-lowering-fma.f64`
6 086×	`-lowering-.f32`
6 086×	`-lowering-.f64`
2 464×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	313
1	74	313
2	208	313
3	553	313
4	1857	313
5	4594	313
6	5153	313
7	5797	313
8	6270	313
9	6557	313
10	6693	313
11	6885	313
12	6899	313
13	7088	313
14	7297	313
15	7791	313
0	8583	286

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize140.0ms (0.9%)

Memory

-4.8MiB live, 280.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	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 a1 a1) (*.f64 a2 a2)))
✓	accuracy	99.6%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.9%	(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th))
✓	accuracy	99.7%	(/.f64 (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.7%	(.f64 th (+.f64 #s(literal 1/24 binary64) (.f64 th (*.f64 th #s(literal -1/720 binary64)))))
✓	accuracy	99.6%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.6%	(*.f64 th #s(literal -1/720 binary64))
✓	accuracy	98.4%	(.f64 (+.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))))))))) (/.f64 (+.f64 (.f64 a1 a1) (*.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	99.8%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
✓	accuracy	99.3%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))

Samples

72.0ms

256×

valid

Compiler

Compiled 315 to 33 computations (89.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 17.0ms (34.8% of total)

ival-cos: 8.0ms (16.4% of total)

ival-div: 7.0ms (14.3% of total)

...in/eval/compile.rkt:111:19: 6.0ms (12.3% of total)

ival-add: 4.0ms (8.2% of total)

ival-pow: 4.0ms (8.2% of total)

ival-sqrt: 2.0ms (4.1% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

series27.0ms (0.2%)

Memory

0.5MiB live, 38.2MiB allocated

Counts

19 → 384

Calls

Call 1

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

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

Calls

96 calls:

Time	Variable		Point	Expression
3.0ms	th	@	-inf	(* (+ 1 (* (* th th) (+ -1/2 (* th (* th (+ 1/24 (* th (* th -1/720)))))))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))
1.0ms	a1	@	0	(* (+ 1 (* (* th th) (+ -1/2 (* th (* th (+ 1/24 (* th (* th -1/720)))))))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))
1.0ms	a2	@	0	(* (+ 1 (* (* th th) (+ -1/2 (* th (* th (+ 1/24 (* th (* th -1/720)))))))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))
1.0ms	th	@	inf	(* (+ 1 (* (* th th) (+ -1/2 (* th (* th (+ 1/24 (* th (* th -1/720)))))))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)))
1.0ms	a2	@	inf	(/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))

rewrite506.0ms (3.2%)

Memory

31.3MiB live, 695.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 640×	`accelerator-lowering-fma.f32`
5 640×	`accelerator-lowering-fma.f64`
4 770×	`-lowering-.f32`
4 770×	`-lowering-.f64`
3 282×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	180
1	160	180
2	1287	180
0	8220	162

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1 167

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)))
(+.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 (.f64 a2 (cos.f64 th)))))
(+.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 (.f64 a2 (cos.f64 th)))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))))
(+.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(+.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))) (.f64 #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2))) (.f64 #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1)))) (.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 (.f64 a2 (cos.f64 th))))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (/.f64 (cos.f64 th) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 0 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 (/.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 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 a2 a2))))
(+.f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 (.f64 a2 (cos.f64 th)))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (.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))))))
(+.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 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (/.f64 (cos.f64 th) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))) (cos.f64 th))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(fma.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1)) (.f64 #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2)) (.f64 #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 (*.f64 a2 (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 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th)))))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 (.f64 a2 (cos.f64 th))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a1 a1) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 a2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(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))))))
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(+.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 a1 a1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
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(fma.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 th (.f64 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))))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
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(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 th (.f64 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))))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) #s(literal -1 binary64)) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 th (.f64 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)))))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) #s(literal -1 binary64)) (/.f64 (.f64 th (.f64 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))))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) #s(literal -1/2 binary64))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 th th) (.f64 (.f64 th th) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64))))) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 th (.f64 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)))))))))
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(fma.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 th (.f64 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)))))))))
(fma.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 th (.f64 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))))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 th (.f64 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)))))))))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 th (.f64 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))))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(fma.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 th (.f64 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)))))))))
(fma.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))) (/.f64 (.f64 th (.f64 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))))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))))
(fma.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 th (.f64 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)))))))))
(fma.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (.f64 th (.f64 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))))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(fma.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (+.f64 a1 a2)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (-.f64 a1 a2)) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 th (.f64 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)))))))))
(fma.f64 (/.f64 (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2)))) (+.f64 a1 a2)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (-.f64 a1 a2)) (/.f64 (.f64 th (.f64 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))))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(fma.f64 (/.f64 (+.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 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 th (.f64 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)))))))))
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(fma.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 (.f64 th (.f64 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))))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) (+.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) #s(literal -1/24 binary64)))) (.f64 th (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/373248000 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal 1/720 binary64))) (.f64 th (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 th th) (.f64 (*.f64 th th) #s(literal 1/518400 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) (+.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) #s(literal -1/24 binary64)))) (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/373248000 binary64)))) th)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal 1/720 binary64))) (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 th th) (.f64 (*.f64 th th) #s(literal 1/518400 binary64)))) th)))
(/.f64 (+.f64 (.f64 #s(literal 1/13824 binary64) (.f64 th (.f64 th th))) (.f64 (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/373248000 binary64))) (.f64 th (.f64 th th)))) (+.f64 (.f64 (.f64 th th) #s(literal 1/576 binary64)) (-.f64 (.f64 (.f64 th th) (.f64 (.f64 th th) (.f64 (.f64 th th) #s(literal 1/518400 binary64)))) (.f64 (.f64 th #s(literal 1/24 binary64)) (.f64 th (.f64 (*.f64 th th) #s(literal -1/720 binary64)))))))
(/.f64 (.f64 (.f64 th (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))) (.f64 th (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal 1/720 binary64))))) (.f64 th (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal 1/720 binary64)))))
(/.f64 (.f64 th (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/373248000 binary64))))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) (+.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) #s(literal -1/24 binary64)))))
(/.f64 (.f64 th (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 th th) (.f64 (.f64 th th) #s(literal 1/518400 binary64))))) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 th th) #s(literal 1/720 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/373248000 binary64)))) th) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) (+.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) #s(literal -1/24 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 th th) (.f64 (.f64 th th) #s(literal 1/518400 binary64)))) th) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 th th) #s(literal 1/720 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/13824 binary64) (.f64 th (.f64 th th))) (.f64 (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/373248000 binary64))) (.f64 th (.f64 th th))))) (neg.f64 (+.f64 (.f64 (.f64 th th) #s(literal 1/576 binary64)) (-.f64 (.f64 (.f64 th th) (.f64 (.f64 th th) (.f64 (.f64 th th) #s(literal 1/518400 binary64)))) (.f64 (.f64 th #s(literal 1/24 binary64)) (.f64 th (.f64 (*.f64 th th) #s(literal -1/720 binary64))))))))
(/.f64 (neg.f64 (.f64 (.f64 th (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))) (.f64 th (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal 1/720 binary64)))))) (neg.f64 (.f64 th (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal 1/720 binary64))))))
(/.f64 (neg.f64 (.f64 th (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/373248000 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) (+.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) #s(literal -1/24 binary64))))))
(/.f64 (neg.f64 (.f64 th (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 th th) (.f64 (.f64 th th) #s(literal 1/518400 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 th th) #s(literal 1/720 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/373248000 binary64)))) th)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) (+.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) #s(literal -1/24 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 th th) (.f64 (.f64 th th) #s(literal 1/518400 binary64)))) th)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 th th) #s(literal 1/720 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/373248000 binary64))) (.f64 th (.f64 th th))) (.f64 #s(literal 1/13824 binary64) (.f64 th (.f64 th th)))) (+.f64 (.f64 (.f64 th th) (.f64 (.f64 th th) (.f64 (.f64 th th) #s(literal 1/518400 binary64)))) (-.f64 (.f64 (.f64 th th) #s(literal 1/576 binary64)) (.f64 (.f64 th (.f64 (.f64 th th) #s(literal -1/720 binary64))) (*.f64 th #s(literal 1/24 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 th th) (.f64 (.f64 th th) (.f64 (.f64 th th) #s(literal 1/518400 binary64)))) (.f64 (.f64 th th) #s(literal 1/576 binary64))) (-.f64 (.f64 th (.f64 (.f64 th th) #s(literal -1/720 binary64))) (.f64 th #s(literal 1/24 binary64))))
(.f64 th (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 th th) #s(literal -1/720 binary64))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 th th) #s(literal -1/720 binary64))) th)
(.f64 (+.f64 (.f64 #s(literal 1/13824 binary64) (.f64 th (.f64 th th))) (.f64 (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/373248000 binary64))) (.f64 th (.f64 th th)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 th th) #s(literal 1/576 binary64)) (-.f64 (.f64 (.f64 th th) (.f64 (.f64 th th) (.f64 (.f64 th th) #s(literal 1/518400 binary64)))) (.f64 (.f64 th #s(literal 1/24 binary64)) (.f64 th (.f64 (.f64 th th) #s(literal -1/720 binary64))))))))
(.f64 (.f64 (.f64 th (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal -1/720 binary64)))) (.f64 th (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal 1/720 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 th (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 th th) #s(literal 1/720 binary64))))))
(.f64 (.f64 th (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/373248000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) (+.f64 (.f64 (*.f64 th th) #s(literal -1/720 binary64)) #s(literal -1/24 binary64))))))
(.f64 (.f64 th (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 th th) (.f64 (.f64 th th) #s(literal 1/518400 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal 1/720 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/373248000 binary64)))) th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) (+.f64 (.f64 (*.f64 th th) #s(literal -1/720 binary64)) #s(literal -1/24 binary64))))))
(.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 th th) (.f64 (.f64 th th) #s(literal 1/518400 binary64)))) th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal 1/720 binary64)))))

simplify586.0ms (3.7%)

Memory

9.7MiB live, 715.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 704×	`accelerator-lowering-fma.f32`
12 704×	`accelerator-lowering-fma.f64`
5 862×	`-lowering-.f32`
5 862×	`-lowering-.f64`
4 902×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	271	6396
1	845	6200
2	2989	6006
0	8154	5572

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

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

eval328.0ms (2.1%)

Memory: 34.6MiB live, 404.5MiB allocated
Compiler: Compiled 73 789 to 3 187 computations (95.7% saved)

prune227.0ms (1.5%)

Memory

-3.8MiB live, 439.6MiB allocated

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	2 174	18	2 192
Fresh	4	4	8
Picked	4	1	5
Done	0	1	1
Total	2 182	24	2 206

Accuracy

100.0%

Counts

2 206 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.4%	(/.f64 (/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
▶	67.5%	(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	10.0%	(/.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (.f64 (.f64 a2 a2) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (+.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
	62.9%	(/.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))))
	64.3%	(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 th th) #s(literal 1/24 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))
	62.9%	(/.f64 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 th th)))) (sqrt.f64 #s(literal 2 binary64)))
	27.9%	(/.f64 (.f64 (.f64 (cos.f64 th) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
	62.0%	(/.f64 (.f64 a2 (.f64 a2 (+.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)))))))))) (sqrt.f64 #s(literal 2 binary64)))
▶	99.0%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
	67.5%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
▶	13.2%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
	98.9%	(/.f64 (cos.f64 th) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))
✓	99.6%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	99.0%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
	67.6%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	62.0%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 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))))))))))
	98.9%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (cos.f64 th) (*.f64 a2 a2)))
	67.6%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	67.6%	(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64)))
▶	15.9%	(.f64 (+.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)))))))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
	62.8%	(.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))))
	98.9%	(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
✓	99.6%	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
▶	98.9%	(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 920 to 602 computations (34.6% saved)

simplify515.0ms (3.3%)

Memory

13.7MiB live, 689.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

14 110×	`accelerator-lowering-fma.f32`
14 110×	`accelerator-lowering-fma.f64`
3 900×	`-lowering-.f32`
3 900×	`-lowering-.f64`
3 470×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	238
1	78	238
2	191	236
3	513	234
4	1677	234
5	4842	234
0	8009	218

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize148.0ms (0.9%)

Memory

-18.1MiB live, 180.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.8%	(.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	99.7%	(.f64 (.f64 th th) #s(literal -1/720 binary64))
✓	accuracy	99.7%	(.f64 th (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 th th) #s(literal -1/720 binary64))))
✓	accuracy	99.6%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	81.7%	(.f64 (+.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)))))))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	99.6%	(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
✓	accuracy	99.5%	(/.f64 #s(literal -1 binary64) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	accuracy	98.4%	(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 a1 a1)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.9%	(.f64 a2 (.f64 a2 (cos.f64 th)))
✓	accuracy	99.8%	(*.f64 a2 (cos.f64 th))
✓	accuracy	99.7%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))

Samples

69.0ms

256×

valid

Compiler

Compiled 240 to 34 computations (85.8% saved)

Precisions

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

ival-mult: 19.0ms (40.7% of total)

ival-div: 9.0ms (19.3% of total)

ival-cos: 6.0ms (12.8% of total)

...in/eval/compile.rkt:111:19: 6.0ms (12.8% of total)

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

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

series13.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

20 → 312

Calls

Call 1

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

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

Calls

78 calls:

Time	Variable		Point	Expression
1.0ms	a1	@	0	(* (+ 1 (* (* th th) (+ -1/2 (* th (* th (+ 1/24 (* (* th th) -1/720))))))) (/ (* a1 a1) (sqrt 2)))
1.0ms	th	@	inf	(* (+ 1 (* (* th th) (+ -1/2 (* th (* th (+ 1/24 (* (* th th) -1/720))))))) (/ (* a1 a1) (sqrt 2)))
0.0ms	a1	@	inf	(/ -1 (+ (* a1 a1) (* a2 a2)))
0.0ms	a1	@	0	(/ (* a1 a1) (sqrt 2))
0.0ms	a2	@	inf	(/ -1 (+ (* a1 a1) (* a2 a2)))

rewrite557.0ms (3.6%)

Memory

-32.0MiB live, 771.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 338×	`accelerator-lowering-fma.f32`
5 338×	`accelerator-lowering-fma.f64`
4 588×	`-lowering-.f32`
4 588×	`-lowering-.f64`
3 140×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	163
1	171	160
2	1314	159
0	8442	147

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 811

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (/.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (/.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (/.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(neg.f64 (.f64 (neg.f64 (.f64 a2 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) (cos.f64 th)))
(neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (.f64 a2 (*.f64 a2 (cos.f64 th)))))
(neg.f64 (.f64 (cos.f64 th) (neg.f64 (.f64 a2 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (/.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (.f64 a2 (cos.f64 th))))))
(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
(/.f64 (*.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (.f64 a2 (-.f64 #s(literal 0 binary64) (cos.f64 th))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (.f64 a2 (cos.f64 th)))))
(/.f64 (.f64 a2 (.f64 a2 (-.f64 #s(literal 0 binary64) (cos.f64 th)))) (/.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a2 a2))))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (.f64 a2 (cos.f64 th)))) #s(literal -1 binary64))
(*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(.f64 a2 (.f64 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(.f64 (.f64 a2 (cos.f64 th)) (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (/.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(.f64 (.f64 a2 a2) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)))
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 a2))))
(.f64 (.f64 a2 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (cos.f64 th))
(.f64 (.f64 a2 (*.f64 a2 (-.f64 #s(literal 0 binary64) (cos.f64 th)))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 a2 (*.f64 a2 (cos.f64 th)))) #s(literal -1 binary64)))
(.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 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 a2 a2))))
(.f64 (/.f64 a2 #s(literal -1 binary64)) (/.f64 (.f64 a2 (-.f64 #s(literal 0 binary64) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (cos.f64 th) #s(literal -1 binary64)) (neg.f64 (.f64 a2 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))))
(.f64 (/.f64 (.f64 a2 (cos.f64 th)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) a2) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 a2 a2) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (.f64 a2 (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 a2 (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(.f64 (/.f64 (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 #s(literal 0 binary64) (.f64 a2 a2)) #s(literal -1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) a2) #s(literal -1 binary64)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(.f64 (/.f64 (.f64 a2 (-.f64 #s(literal 0 binary64) (cos.f64 th))) #s(literal -1 binary64)) (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (/.f64 (.f64 a2 (*.f64 a2 (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)) (.f64 a2 (.f64 a2 (cos.f64 th)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 a2 (*.f64 a2 (cos.f64 th)))) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 a2 (.f64 a2 (-.f64 #s(literal 0 binary64) (cos.f64 th)))))
(neg.f64 (.f64 a2 (.f64 a2 (-.f64 #s(literal 0 binary64) (cos.f64 th)))))
(.f64 a2 (.f64 a2 (cos.f64 th)))
(.f64 a2 (neg.f64 (.f64 a2 (-.f64 #s(literal 0 binary64) (cos.f64 th)))))
(.f64 (cos.f64 th) (.f64 a2 a2))
(.f64 (.f64 a2 (cos.f64 th)) a2)
(.f64 (.f64 a2 (cos.f64 th)) (neg.f64 (-.f64 #s(literal 0 binary64) a2)))
(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 a2 (*.f64 a2 (-.f64 #s(literal 0 binary64) (cos.f64 th)))))
(.f64 (.f64 a2 a2) (cos.f64 th))
(.f64 (.f64 a2 a2) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 th))))
(.f64 #s(literal 1 binary64) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 a2 a2)) (-.f64 #s(literal 0 binary64) (cos.f64 th)))
(.f64 (-.f64 #s(literal 0 binary64) a2) (.f64 a2 (-.f64 #s(literal 0 binary64) (cos.f64 th))))
(.f64 (.f64 a2 (-.f64 #s(literal 0 binary64) (cos.f64 th))) (-.f64 #s(literal 0 binary64) a2))
(.f64 (neg.f64 (.f64 a2 (-.f64 #s(literal 0 binary64) (cos.f64 th)))) a2)
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a2)) (.f64 a2 (cos.f64 th)))
(*.f64 a2 (cos.f64 th))
(*.f64 (cos.f64 th) a2)
(cos.f64 th)
(*.f64 (cos.f64 th) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 th))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 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) (neg.f64 (.f64 a1 (.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (neg.f64 (.f64 a1 (.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))))
(neg.f64 (neg.f64 (.f64 a1 (.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))))
(neg.f64 (.f64 (neg.f64 (.f64 a1 (*.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (.f64 a1 a1)))
(neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 a1 (*.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))))
(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 a1 (.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a1 a1)) (/.f64 #s(literal -1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) #s(literal -1 binary64))
(.f64 a1 (.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (.f64 a1 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 a1 (*.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 a1 (*.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))))
(.f64 #s(literal 1 binary64) (.f64 a1 (*.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 a1 a1)) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a1 a1))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) (+.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) #s(literal -1/24 binary64)))) (.f64 th (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/373248000 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal 1/720 binary64))) (.f64 th (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 th th) (*.f64 th th)) #s(literal -1/518400 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) (+.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) #s(literal -1/24 binary64)))) (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/373248000 binary64)))) th)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal 1/720 binary64))) (.f64 (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 th th) (*.f64 th th)) #s(literal -1/518400 binary64))) th)))
(/.f64 (+.f64 (.f64 #s(literal 1/13824 binary64) (.f64 th (.f64 th th))) (.f64 (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/373248000 binary64))) (.f64 th (.f64 th th)))) (+.f64 (.f64 (.f64 th th) #s(literal 1/576 binary64)) (-.f64 (.f64 (.f64 th th) (.f64 (.f64 th th) (.f64 (.f64 th th) #s(literal 1/518400 binary64)))) (.f64 (.f64 th #s(literal 1/24 binary64)) (.f64 th (.f64 (*.f64 th th) #s(literal -1/720 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/576 binary64)) (.f64 (.f64 th th) (.f64 (.f64 th th) (.f64 (.f64 th th) #s(literal 1/518400 binary64))))) (+.f64 (.f64 th #s(literal 1/24 binary64)) (.f64 #s(literal 1/720 binary64) (.f64 th (.f64 th th)))))
(/.f64 (.f64 th (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/373248000 binary64))))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) (+.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) #s(literal -1/24 binary64)))))
(/.f64 (.f64 th (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal -1/518400 binary64)))) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 th th) #s(literal 1/720 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/373248000 binary64)))) th) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) (+.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) #s(literal -1/24 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal -1/518400 binary64))) th) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 th th) #s(literal 1/720 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/13824 binary64) (.f64 th (.f64 th th))) (.f64 (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/373248000 binary64))) (.f64 th (.f64 th th))))) (neg.f64 (+.f64 (.f64 (.f64 th th) #s(literal 1/576 binary64)) (-.f64 (.f64 (.f64 th th) (.f64 (.f64 th th) (.f64 (.f64 th th) #s(literal 1/518400 binary64)))) (.f64 (.f64 th #s(literal 1/24 binary64)) (.f64 th (.f64 (*.f64 th th) #s(literal -1/720 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/576 binary64)) (.f64 (.f64 th th) (.f64 (.f64 th th) (.f64 (.f64 th th) #s(literal 1/518400 binary64)))))) (neg.f64 (+.f64 (.f64 th #s(literal 1/24 binary64)) (.f64 #s(literal 1/720 binary64) (.f64 th (.f64 th th))))))
(/.f64 (neg.f64 (.f64 th (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/373248000 binary64)))))) (+.f64 #s(literal -1/576 binary64) (neg.f64 (.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) (+.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) #s(literal -1/24 binary64))))))
(/.f64 (neg.f64 (.f64 th (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal -1/518400 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 th th) #s(literal 1/720 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/373248000 binary64)))) th)) (+.f64 #s(literal -1/576 binary64) (neg.f64 (.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) (+.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) #s(literal -1/24 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal -1/518400 binary64))) th)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 th th) #s(literal 1/720 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/373248000 binary64))) (.f64 th (.f64 th th))) (.f64 #s(literal 1/13824 binary64) (.f64 th (.f64 th th)))) (+.f64 (.f64 (.f64 th th) (.f64 (.f64 th th) (.f64 (.f64 th th) #s(literal 1/518400 binary64)))) (-.f64 (.f64 (.f64 th th) #s(literal 1/576 binary64)) (.f64 (.f64 th (.f64 (.f64 th th) #s(literal -1/720 binary64))) (*.f64 th #s(literal 1/24 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 th th) (.f64 (.f64 th th) (.f64 (.f64 th th) #s(literal 1/518400 binary64)))) (.f64 (.f64 th th) #s(literal 1/576 binary64))) (-.f64 (.f64 th (.f64 (.f64 th th) #s(literal -1/720 binary64))) (.f64 th #s(literal 1/24 binary64))))
(.f64 th (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 th th) #s(literal -1/720 binary64))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 th th) #s(literal -1/720 binary64))) th)
(.f64 (+.f64 (.f64 #s(literal 1/13824 binary64) (.f64 th (.f64 th th))) (.f64 (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/373248000 binary64))) (.f64 th (.f64 th th)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 th th) #s(literal 1/576 binary64)) (-.f64 (.f64 (.f64 th th) (.f64 (.f64 th th) (.f64 (.f64 th th) #s(literal 1/518400 binary64)))) (.f64 (.f64 th #s(literal 1/24 binary64)) (.f64 th (.f64 (.f64 th th) #s(literal -1/720 binary64))))))))
(.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/576 binary64)) (.f64 (.f64 th th) (.f64 (.f64 th th) (.f64 (.f64 th th) #s(literal 1/518400 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 th #s(literal 1/24 binary64)) (.f64 #s(literal 1/720 binary64) (.f64 th (*.f64 th th))))))
(.f64 (.f64 th (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/373248000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) (+.f64 (.f64 (*.f64 th th) #s(literal -1/720 binary64)) #s(literal -1/24 binary64))))))
(.f64 (.f64 th (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal -1/518400 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal 1/720 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/373248000 binary64)))) th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 th th) #s(literal -1/720 binary64)) (+.f64 (.f64 (*.f64 th th) #s(literal -1/720 binary64)) #s(literal -1/24 binary64))))))
(.f64 (.f64 (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal -1/518400 binary64))) th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 th th) #s(literal 1/720 binary64)))))
(.f64 th (.f64 th #s(literal -1/720 binary64)))
(.f64 (.f64 th th) #s(literal -1/720 binary64))
(.f64 #s(literal -1/720 binary64) (.f64 th th))
(.f64 (.f64 th #s(literal -1/720 binary64)) th)

simplify563.0ms (3.6%)

Memory

-5.4MiB live, 707.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 814×	`accelerator-lowering-fma.f32`
9 814×	`accelerator-lowering-fma.f64`
4 430×	`-lowering-.f32`
4 430×	`-lowering-.f64`
2 908×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	226	3174
1	644	3164
2	2029	3014
3	5325	3006
0	8298	2854

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

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

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

eval162.0ms (1%)

Memory: 27.0MiB live, 404.5MiB allocated
Compiler: Compiled 38 258 to 2 638 computations (93.1% saved)

prune410.0ms (2.6%)

Memory

3.8MiB live, 490.0MiB allocated

Pruning

31 alts after pruning (28 fresh and 3 done)

	Pruned	Kept	Total
New	1 324	20	1 344
Fresh	9	8	17
Picked	4	1	5
Done	0	2	2
Total	1 337	31	1 368

Accuracy

100.0%

Counts

1 368 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.4%	(/.f64 (/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
	2.4%	(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (*.f64 a1 a1)))
	17.3%	(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))))
▶	67.4%	(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 a2 a2)))
	13.2%	(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 a1 a1)))
	15.6%	(/.f64 (+.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))))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
▶	17.4%	(/.f64 (.f64 (pow.f64 #s(literal 2 binary64) #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)))
▶	64.2%	(/.f64 (.f64 a2 (+.f64 a2 (.f64 (.f64 a2 (.f64 th th)) (+.f64 #s(literal -1/2 binary64) (.f64 th (.f64 th #s(literal 1/24 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))
	62.0%	(/.f64 (.f64 a2 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) a2)) (sqrt.f64 #s(literal 2 binary64)))
	62.0%	(/.f64 (.f64 a2 (.f64 a2 (+.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)))))))))) (sqrt.f64 #s(literal 2 binary64)))
	67.5%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
✓	13.2%	(/.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))))
▶	99.0%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
	98.9%	(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (cos.f64 th))))
▶	13.2%	(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
	67.6%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	13.2%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
	62.0%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 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))))))))))
	98.9%	(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)
	13.2%	(*.f64 (/.f64 a1 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) a1) (sqrt.f64 #s(literal 2 binary64))))
	67.6%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	67.6%	(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64)))
	15.9%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 th (.f64 th (.f64 (.f64 th th) #s(literal -1/720 binary64))))))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
	15.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
	18.2%	(.f64 (.f64 (+.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))))))) a1) (*.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
	98.8%	(.f64 (.f64 a2 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (cos.f64 th))
	98.9%	(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
✓	99.6%	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	98.9%	(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
	98.9%	(.f64 (cos.f64 th) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 a2 a2)))

Compiler

Compiled 1 073 to 733 computations (31.7% saved)

simplify285.0ms (1.8%)

Memory

-28.6MiB live, 533.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))
✓	cost-diff	0	(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))
✓	cost-diff	1024	(/.f64 (.f64 (pow.f64 #s(literal 2 binary64) #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)))
✓	cost-diff	0	(.f64 (.f64 a2 (.f64 th th)) (+.f64 #s(literal -1/2 binary64) (.f64 th (*.f64 th #s(literal 1/24 binary64)))))
✓	cost-diff	0	(+.f64 a2 (.f64 (.f64 a2 (.f64 th th)) (+.f64 #s(literal -1/2 binary64) (.f64 th (*.f64 th #s(literal 1/24 binary64))))))
✓	cost-diff	0	(.f64 a2 (+.f64 a2 (.f64 (.f64 a2 (.f64 th th)) (+.f64 #s(literal -1/2 binary64) (.f64 th (.f64 th #s(literal 1/24 binary64)))))))
✓	cost-diff	0	(/.f64 (.f64 a2 (+.f64 a2 (.f64 (.f64 a2 (.f64 th th)) (+.f64 #s(literal -1/2 binary64) (.f64 th (.f64 th #s(literal 1/24 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (*.f64 a2 a2))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	256	(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 a2 a2)))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)
✓	cost-diff	0	(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))
✓	cost-diff	0	(cos.f64 th)
✓	cost-diff	0	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))

Rules

6 876×	`accelerator-lowering-fma.f32`
6 876×	`accelerator-lowering-fma.f64`
4 018×	`-lowering-.f32`
4 018×	`-lowering-.f64`
1 898×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	246
1	96	230
2	265	228
3	785	220
4	1972	218
5	5433	218
0	8184	209

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize159.0ms (1%)

Memory

30.4MiB live, 257.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (*.f64 a2 a2)))))
✓	accuracy	92.2%	(-.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	accuracy	85.9%	(-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))
✓	accuracy	36.8%	(/.f64 (.f64 (pow.f64 #s(literal 2 binary64) #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)))
✓	accuracy	99.8%	(/.f64 (.f64 a2 (+.f64 a2 (.f64 (.f64 a2 (.f64 th th)) (+.f64 #s(literal -1/2 binary64) (.f64 th (.f64 th #s(literal 1/24 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.5%	(*.f64 th #s(literal 1/24 binary64))
✓	accuracy	98.9%	(.f64 a2 (+.f64 a2 (.f64 (.f64 a2 (.f64 th th)) (+.f64 #s(literal -1/2 binary64) (.f64 th (.f64 th #s(literal 1/24 binary64)))))))
✓	accuracy	90.2%	(.f64 a2 (.f64 th th))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 a2 a2)))
✓	accuracy	99.5%	(/.f64 #s(literal -1 binary64) (*.f64 a2 a2))
✓	accuracy	98.4%	(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.8%	(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
✓	accuracy	99.3%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(cos.f64 th)
✓	accuracy	99.8%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
✓	accuracy	99.3%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))

Samples

88.0ms

256×

valid

Compiler

Compiled 268 to 38 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 20.0ms (29.4% of total)

ival-div: 14.0ms (20.6% of total)

ival-cos: 12.0ms (17.7% of total)

ival-sqrt: 10.0ms (14.7% of total)

...in/eval/compile.rkt:111:19: 4.0ms (5.9% of total)

ival-pow: 4.0ms (5.9% of total)

ival-add: 2.0ms (2.9% of total)

ival-sub: 2.0ms (2.9% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

series43.0ms (0.3%)

Memory

10.3MiB live, 49.1MiB allocated

Counts

20 → 324

Calls

Call 1

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

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

Calls

81 calls:

Time	Variable		Point	Expression
25.0ms	a2	@	0	(/ (* a2 (+ a2 (* (* a2 (* th th)) (+ -1/2 (* th (* th 1/24)))))) (sqrt 2))
1.0ms	a1	@	0	(/ (* (pow 2 -1/2) (- (* a1 (* a1 (* a1 a1))) (* a2 (* a2 (* a2 a2))))) (- (* a1 a1) (* a2 a2)))
1.0ms	a2	@	-inf	(/ (* a2 (+ a2 (* (* a2 (* th th)) (+ -1/2 (* th (* th 1/24)))))) (sqrt 2))
1.0ms	a2	@	inf	(/ (* a2 (+ a2 (* (* a2 (* th th)) (+ -1/2 (* th (* th 1/24)))))) (sqrt 2))
1.0ms	a2	@	0	(/ (* (pow 2 -1/2) (- (* a1 (* a1 (* a1 a1))) (* a2 (* a2 (* a2 a2))))) (- (* a1 a1) (* a2 a2)))

rewrite522.0ms (3.3%)

Memory

-29.5MiB live, 866.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 986×	`accelerator-lowering-fma.f32`
5 986×	`accelerator-lowering-fma.f64`
4 650×	`-lowering-.f32`
4 650×	`-lowering-.f64`
3 852×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	180
1	210	155
2	1537	153
0	8232	145

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 745

Calls

Call 1

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

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

simplify467.0ms (3%)

Memory

8.5MiB live, 985.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 656×	`accelerator-lowering-fma.f32`
9 656×	`accelerator-lowering-fma.f64`
5 284×	`-lowering-.f32`
5 284×	`-lowering-.f64`
2 194×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	3454
1	447	3382
2	1236	3166
3	3601	3060
4	6901	3060
0	8010	2914

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

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

eval136.0ms (0.9%)

Memory: -0.7MiB live, 360.4MiB allocated
Compiler: Compiled 34 427 to 2 466 computations (92.8% saved)

prune244.0ms (1.6%)

Memory

10.6MiB live, 507.5MiB allocated

Pruning

44 alts after pruning (38 fresh and 6 done)

	Pruned	Kept	Total
New	1 096	21	1 117
Fresh	6	17	23
Picked	2	3	5
Done	0	3	3
Total	1 104	44	1 148

Accuracy

100.0%

Counts

1 148 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.3%	(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) a2) #s(literal 2 binary64))
	17.4%	(/.f64 (/.f64 (-.f64 (.f64 a2 (.f64 a2 (.f64 a2 a2))) (.f64 a1 (.f64 a1 (.f64 a1 a1)))) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
	13.2%	(/.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) a1))
	7.1%	(/.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 (.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))))) (sqrt.f64 #s(literal 2 binary64))))) (-.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	67.4%	(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) a2) a2))
	2.4%	(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 a2 a2) (.f64 a1 a1))) (*.f64 a1 a1)))
	13.2%	(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 a1 a1)))
	67.3%	(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) a2) (/.f64 #s(literal -1 binary64) a2)))
	15.6%	(/.f64 (+.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))))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
	62.0%	(/.f64 (+.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)))))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
	9.9%	(/.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (/.f64 (-.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))))))
	17.4%	(/.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (-.f64 #s(literal 0 binary64) (.f64 a2 a2)))
	9.8%	(/.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 (-.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 a1 (.f64 a1 (.f64 a1 a1))) (.f64 (.f64 a2 a2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))))))
	8.8%	(/.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (-.f64 (.f64 a1 (.f64 a1 (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 a2 a2))))) (.f64 a1 a1))
✓	64.2%	(/.f64 (.f64 a2 (+.f64 a2 (.f64 (.f64 a2 (.f64 th th)) (+.f64 #s(literal -1/2 binary64) (.f64 th (.f64 th #s(literal 1/24 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))
	62.0%	(/.f64 (.f64 a2 (+.f64 a2 (.f64 #s(literal -1/2 binary64) (.f64 a2 (.f64 th th))))) (sqrt.f64 #s(literal 2 binary64)))
	67.5%	(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
✓	13.2%	(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
	98.8%	(/.f64 (cos.f64 th) (/.f64 (/.f64 #s(literal 1 binary64) a2) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) a2)))
✓	99.6%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
✓	99.0%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
	98.9%	(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (cos.f64 th))))
	67.4%	(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
✓	13.2%	(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
	13.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
	67.5%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
	13.2%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
	46.7%	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))
	62.0%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 #s(literal 1 binary64) (.f64 th (.f64 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))))))))))
	67.4%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (.f64 a2 a2))
	98.9%	(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2)
	98.9%	(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (cos.f64 th))
	67.4%	(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
	13.2%	(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
	67.6%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	67.6%	(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64)))
	15.9%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) (+.f64 #s(literal -1/2 binary64) (.f64 th (.f64 th (.f64 (.f64 th th) #s(literal -1/720 binary64))))))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
	15.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) (/.f64 (.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
	18.2%	(.f64 (.f64 (+.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))))))) a1) (*.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
	98.8%	(.f64 (.f64 a2 (*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (cos.f64 th))
	98.9%	(.f64 (.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
✓	99.6%	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
	98.9%	(.f64 (cos.f64 th) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 a2 a2)))
	67.4%	(.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))

Compiler

Compiled 2 120 to 761 computations (64.1% saved)

regimes247.0ms (1.6%)

Memory

-13.1MiB live, 421.2MiB allocated

Counts

74 → 1

Calls

Call 1

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

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

Calls

8 calls:

62.0ms	a2
46.0ms	a1
25.0ms	(*.f64 a2 a2)
22.0ms	(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
21.0ms	th

Results

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

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes176.0ms (1.1%)

Memory

-0.2MiB live, 288.0MiB allocated

Counts

66 → 1

Calls

Call 1

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

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

Calls

6 calls:

45.0ms	a1
45.0ms	th
21.0ms	(*.f64 a1 a1)
19.0ms	(cos.f64 th)
19.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
99.6%	1	`a1`
99.6%	1	`a2`
99.6%	1	`th`
99.6%	1	`(cos.f64 th)`
99.6%	1	`(*.f64 a1 a1)`
99.6%	1	`(*.f64 a2 a2)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes124.0ms (0.8%)

Memory

-10.5MiB live, 304.6MiB allocated

Counts

65 → 1

Calls

Call 1

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

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

Calls

6 calls:

20.0ms	(cos.f64 th)
20.0ms	a1
20.0ms	th
19.0ms	a2
18.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
99.0%	1	`a1`
99.0%	1	`a2`
99.0%	1	`th`
99.0%	1	`(cos.f64 th)`
99.0%	1	`(*.f64 a1 a1)`
99.0%	1	`(*.f64 a2 a2)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes113.0ms (0.7%)

Memory

27.1MiB live, 267.6MiB allocated

Counts

60 → 1

Calls

Call 1

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

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

Calls

6 calls:

19.0ms	(*.f64 a1 a1)
18.0ms	th
17.0ms	a1
17.0ms	a2
17.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
99.0%	1	`a1`
99.0%	1	`a2`
99.0%	1	`(cos.f64 th)`
99.0%	1	`(*.f64 a1 a1)`
99.0%	1	`(*.f64 a2 a2)`
99.0%	1	`th`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes107.0ms (0.7%)

Memory

-12.4MiB live, 266.0MiB allocated

Counts

58 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
98.9%	1	`a1`
98.9%	1	`a2`
98.9%	1	`th`
98.9%	1	`(cos.f64 th)`
98.9%	1	`(*.f64 a1 a1)`
98.9%	1	`(*.f64 a2 a2)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes110.0ms (0.7%)

Memory

-4.0MiB live, 233.0MiB allocated

Counts

53 → 1

Calls

Call 1

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

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

Calls

6 calls:

18.0ms	a1
17.0ms	th
16.0ms	(cos.f64 th)
16.0ms	(*.f64 a2 a2)
15.0ms	a2

Results

Accuracy	Segments	Branch
98.9%	1	`a2`
98.9%	1	`(*.f64 a2 a2)`
98.9%	1	`th`
98.9%	1	`(cos.f64 th)`
98.9%	1	`a1`
98.9%	1	`(*.f64 a1 a1)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes86.0ms (0.5%)

Memory

30.3MiB live, 184.0MiB allocated

Counts

52 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

20.0ms	a1
16.0ms	a2
16.0ms	(*.f64 a2 a2)
15.0ms	(*.f64 a1 a1)
15.0ms	th

Results

Accuracy	Segments	Branch
67.6%	1	`a1`
71.9%	3	`a2`
67.6%	1	`th`
67.6%	1	`(*.f64 a1 a1)`
67.6%	1	`(*.f64 a2 a2)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes12.0ms (0.1%)

Memory

-14.3MiB live, 23.8MiB allocated

Counts

27 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

10.0ms

a2

Results

Accuracy	Segments	Branch
71.9%	3	`a2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes31.0ms (0.2%)

Memory

10.7MiB live, 81.9MiB allocated

Counts

24 → 1

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	th
7.0ms	a2
7.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
67.6%	1	`th`
67.6%	1	`(*.f64 a2 a2)`
67.6%	1	`a2`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes42.0ms (0.3%)

Memory

-16.7MiB live, 103.0MiB allocated

Counts

21 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
67.6%	1	`(*.f64 a1 a1)`
67.6%	1	`a1`
67.6%	1	`a2`
67.6%	1	`th`
67.6%	1	`(*.f64 a2 a2)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes31.0ms (0.2%)

Memory

4.7MiB live, 85.0MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	th
7.0ms	(*.f64 a1 a1)
5.0ms	a2
5.0ms	a1
5.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
67.6%	1	`(*.f64 a1 a1)`
67.6%	1	`a1`
67.6%	1	`th`
67.6%	1	`a2`
67.6%	1	`(*.f64 a2 a2)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes22.0ms (0.1%)

Memory

17.5MiB live, 56.7MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
67.5%	1	`(*.f64 a1 a1)`
67.5%	1	`a1`
67.5%	1	`a2`
67.5%	1	`(*.f64 a2 a2)`
67.5%	1	`th`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes19.0ms (0.1%)

Memory

11.6MiB live, 50.7MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
67.5%	1	`(*.f64 a1 a1)`
67.5%	1	`a1`
67.5%	1	`a2`
67.5%	1	`th`
67.5%	1	`(*.f64 a2 a2)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes12.0ms (0.1%)

Memory

-9.1MiB live, 30.1MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	th
3.0ms	a1
3.0ms	a2
2.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
67.4%	1	`(*.f64 a1 a1)`
67.4%	1	`a1`
67.4%	1	`a2`
67.4%	1	`th`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes19.0ms (0.1%)

Memory

-49.0MiB live, 14.5MiB allocated

Accuracy

Total -34.8b remaining (-166.6%)

Threshold costs -34.8b (-166.6%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	a1
2.0ms	a2
2.0ms	th

Results

Accuracy	Segments	Branch
67.4%	1	`a1`
67.4%	1	`a2`
67.4%	1	`th`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch14.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
2.0ms	1.0781945027756876e+204	1.1539525443105901e+204
10.0ms	6.937542934506383e+159	5.878694826741627e+161

Samples

9.0ms

96×

valid

Compiler

Compiled 247 to 182 computations (26.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-cos: 2.0ms (32% of total)

ival-mult: 2.0ms (32% of total)

ival-div: 1.0ms (16% of total)

ival-sqrt: 1.0ms (16% of total)

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

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

bsearch19.0ms (0.1%)

Memory

1.1MiB live, 40.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	1.0781945027756876e+204	1.1539525443105901e+204
15.0ms	6.937542934506383e+159	5.878694826741627e+161

Samples

12.0ms

128×

valid

Compiler

Compiled 291 to 222 computations (23.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-cos: 3.0ms (36.5% of total)

ival-mult: 3.0ms (36.5% of total)

ival-div: 1.0ms (12.2% of total)

ival-add: 1.0ms (12.2% of total)

ival-sqrt: 1.0ms (12.2% of total)

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

simplify33.0ms (0.2%)

Memory

-14.8MiB live, 24.3MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
6×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	204
1	75	204

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 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 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(if (<=.f64 a2 #s(literal 400000000000000015098357299291259548264654605128115907732346352480705074550155084201900455678617161913878111061454916047057729191568232796039284663170672481009664 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (if (<=.f64 a2 #s(literal 1149999999999999952275814559083140068264893583417240153799075512807572384798390427609443315838195353065884337693323420226706067839720297880124118480329418533077245413664680391554614346304158894979589079040 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 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))))
(if (<=.f64 a2 #s(literal 52000000000000000963826912806746227232293985132841850165653620169700891416589933866128102815895232610306201457671708314972886836053750936941754788839936124518400 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (if (<=.f64 a2 #s(literal 1149999999999999952275814559083140068264893583417240153799075512807572384798390427609443315838195353065884337693323420226706067839720297880124118480329418533077245413664680391554614346304158894979589079040 binary64)) (/.f64 (.f64 a2 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))

Outputs
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 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 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 a2 (.f64 (cos.f64 th) a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(if (<=.f64 a2 #s(literal 400000000000000015098357299291259548264654605128115907732346352480705074550155084201900455678617161913878111061454916047057729191568232796039284663170672481009664 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (if (<=.f64 a2 #s(literal 1149999999999999952275814559083140068264893583417240153799075512807572384798390427609443315838195353065884337693323420226706067839720297880124118480329418533077245413664680391554614346304158894979589079040 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 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))))
(if (<=.f64 a2 #s(literal 400000000000000015098357299291259548264654605128115907732346352480705074550155084201900455678617161913878111061454916047057729191568232796039284663170672481009664 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (if (<=.f64 a2 #s(literal 1149999999999999952275814559083140068264893583417240153799075512807572384798390427609443315838195353065884337693323420226706067839720297880124118480329418533077245413664680391554614346304158894979589079040 binary64)) (.f64 (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 th th)))) (.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))))
(if (<=.f64 a2 #s(literal 52000000000000000963826912806746227232293985132841850165653620169700891416589933866128102815895232610306201457671708314972886836053750936941754788839936124518400 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (if (<=.f64 a2 #s(literal 1149999999999999952275814559083140068264893583417240153799075512807572384798390427609443315838195353065884337693323420226706067839720297880124118480329418533077245413664680391554614346304158894979589079040 binary64)) (/.f64 (.f64 a2 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))) a2)) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))))
(if (<=.f64 a2 #s(literal 52000000000000000963826912806746227232293985132841850165653620169700891416589933866128102815895232610306201457671708314972886836053750936941754788839936124518400 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))) (if (<=.f64 a2 #s(literal 1149999999999999952275814559083140068264893583417240153799075512807572384798390427609443315838195353065884337693323420226706067839720297880124118480329418533077245413664680391554614346304158894979589079040 binary64)) (/.f64 (.f64 a2 (.f64 a2 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(.f64 a2 (.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))

soundness4.6s (29.4%)

Memory

82.6MiB live, 7 116.5MiB allocated

Rules

19 002×	`accelerator-lowering-fma.f32`
19 002×	`accelerator-lowering-fma.f64`
12 704×	`accelerator-lowering-fma.f32`
12 704×	`accelerator-lowering-fma.f64`
9 814×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	163
1	171	160
2	1314	159
0	8442	147
0	226	3174
1	644	3164
2	2029	3014
3	5325	3006
0	8298	2854
0	158	3454
1	447	3382
2	1236	3166
3	3601	3060
4	6901	3060
0	8010	2914
0	31	180
1	160	180
2	1287	180
0	8220	162
0	143	2176
1	462	2176
2	1594	2074
3	3984	2026
4	7826	2026
0	8362	1890
0	12	13
1	25	13
2	50	13
3	80	13
4	92	13
0	92	12
0	36	180
1	210	155
2	1537	153
0	8232	145
0	15	68
1	73	68
2	634	68
0	8041	64
0	271	6396
1	845	6200
2	2989	6006
0	8154	5572

Stop Event

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

Compiler

Compiled 945 to 585 computations (38.1% saved)

preprocess99.0ms (0.6%)

Memory

-0.9MiB live, 240.8MiB allocated

Remove

(sort a1 a2)

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 970 to 484 computations (50.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.2s (7.6%)

preprocess173.0ms (1.1%)

explain144.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0%)

localize60.0ms (0.4%)

series22.0ms (0.1%)

rewrite417.0ms (2.7%)

simplify569.0ms (3.6%)

eval202.0ms (1.3%)

prune107.0ms (0.7%)

simplify798.0ms (5.1%)

localize140.0ms (0.9%)

series27.0ms (0.2%)

rewrite506.0ms (3.2%)

simplify586.0ms (3.7%)

eval328.0ms (2.1%)

prune227.0ms (1.5%)

simplify515.0ms (3.3%)

localize148.0ms (0.9%)

series13.0ms (0.1%)

rewrite557.0ms (3.6%)

simplify563.0ms (3.6%)

eval162.0ms (1%)

prune410.0ms (2.6%)

simplify285.0ms (1.8%)

localize159.0ms (1%)

series43.0ms (0.3%)

rewrite522.0ms (3.3%)

simplify467.0ms (3%)

eval136.0ms (0.9%)

prune244.0ms (1.6%)

regimes247.0ms (1.6%)

regimes176.0ms (1.1%)

regimes124.0ms (0.8%)

regimes113.0ms (0.7%)

regimes107.0ms (0.7%)

regimes110.0ms (0.7%)

regimes86.0ms (0.5%)

regimes12.0ms (0.1%)

regimes31.0ms (0.2%)

regimes42.0ms (0.3%)

regimes31.0ms (0.2%)

regimes22.0ms (0.1%)

regimes19.0ms (0.1%)

regimes12.0ms (0.1%)

regimes19.0ms (0.1%)

bsearch14.0ms (0.1%)

bsearch19.0ms (0.1%)

simplify33.0ms (0.2%)

soundness4.6s (29.4%)

preprocess99.0ms (0.6%)

end0.0ms (0%)

Profiling